tests/testthat/_snaps/highd_obj.md

conic_spiral_3d() works

Code
  conic_spiral_3d(n = 100, num_noise = 2, min_n = -0.05, max_n = 0.05)
Output
                     x            y           z                           
    [1,]  0.1652705399  0.197655432  0.56196756  0.046811273 -0.0397026339
    [2,] -0.0503955365 -0.214441320  0.37706739 -0.012496258  0.0290763175
    [3,] -0.1261257283 -0.113418205  0.81181242 -0.039036306  0.0422360181
    [4,]  0.2665173598 -0.123134358  0.45560915  0.012114244 -0.0214310022
    [5,]  0.0996705791  0.091156521  0.54774636 -0.007777032 -0.0499433291
    [6,]  0.0437924361 -0.099445170  0.41508432 -0.043311664 -0.0356851794
    [7,] -0.2340716670  0.346800356  0.18236676  0.009618158  0.0015637302
    [8,]  0.0439289356  0.126512734  0.58797019  0.040446538 -0.0123396746
    [9,]  0.1480882404 -0.061412971  0.48396567 -0.049745073 -0.0284339315
   [10,]  0.0769614733 -0.104517663  0.92548686 -0.015265306 -0.0350829806
   [11,]  0.0321642128 -0.102515589  0.89670361  0.036571148 -0.0353439124
   [12,]  0.0928606406  0.037877951  0.03250360  0.015919120  0.0423142502
   [13,]  0.0460846298 -0.092542179  0.91011412 -0.031443569 -0.0051962465
   [14,]  0.0694460398  0.076145771  0.07151625  0.044940477 -0.0389469245
   [15,] -0.0574431914  0.133410012  0.66761320 -0.028938895 -0.0086575911
   [16,] -0.0531663776  0.159754791  0.12888588  0.013595432  0.0232040592
   [17,]  0.0523673056  0.141408954  0.11676387  0.002368991 -0.0245691278
   [18,]  0.1633681435  0.026015119 -0.01080325 -0.030572272 -0.0315889175
   [19,] -0.1508265735  0.082564605  0.18905609 -0.018436977  0.0227344875
   [20,] -0.1212481578  0.335913044  0.12947682  0.045953311 -0.0366494890
   [21,] -0.3775116267  0.031377390  0.23042905  0.034806118  0.0157848667
   [22,]  0.2407401225  0.059480024  0.53216298  0.004200594  0.0070135517
   [23,]  0.0859179028 -0.065061982  0.45489713 -0.030929957  0.0208199039
   [24,]  0.1189491519  0.222318807  0.59311723 -0.023326323 -0.0189224581
   [25,]  0.0662781347  0.110313469  0.57191298  0.038856192  0.0338216087
   [26,]  0.0633287178 -0.084667759  0.92424468  0.036005257 -0.0460992394
   [27,] -0.0736354460  0.076480478  0.17892801 -0.005547783  0.0447378346
   [28,]  0.0521597046 -0.086409012  0.91735178  0.010797826  0.0272497393
   [29,]  0.0144862076 -0.131029745  0.88720095  0.029635492 -0.0160971409
   [30,]  0.1030225527 -0.014904482  0.98834397  0.009967849  0.0464448324
   [31,] -0.0317932811  0.115590059  0.15908594 -0.006457079  0.0179349351
   [32,] -0.1179802964  0.314892306  0.17827294 -0.030954550 -0.0207382537
   [33,] -0.0119618902  0.126641643  0.62340828 -0.025088984  0.0037443788
   [34,]  0.0836894919 -0.073383346  0.94089059  0.031934072 -0.0118583800
   [35,]  0.1007341092  0.098191771  0.04291249 -0.035403466  0.0063740385
   [36,] -0.1157049076  0.054273855  0.72288678 -0.042859625 -0.0297865495
   [37,] -0.1069723154 -0.003305185  0.75650346 -0.034428535 -0.0433482581
   [38,]  0.0456057180 -0.121483918  0.90100170  0.034162961 -0.0163532625
   [39,]  0.0819433093  0.218396768  0.06868350 -0.045406635  0.0359919606
   [40,] -0.2740627274  0.157893565  0.23185376  0.012260502 -0.0370901504
   [41,]  0.0442711388  0.258241515  0.13966080  0.002252682 -0.0496382012
   [42,] -0.1898921012  0.003656120  0.75340162  0.004865140  0.0114451926
   [43,] -0.0364220198 -0.152715791  0.85556012  0.037104514 -0.0157686300
   [44,] -0.2401621261  0.315221993  0.16107495  0.019189041 -0.0482725061
   [45,] -0.0475882714  0.223957195  0.64851466  0.016947191  0.0417446218
   [46,]  0.2071281625  0.069749153  0.51123541  0.023474528  0.0490760001
   [47,]  0.0971114179 -0.052560033  0.46788593 -0.046460505 -0.0143416769
   [48,] -0.2548529530  0.268059306  0.16593710 -0.014047195 -0.0389693632
   [49,] -0.0532109435 -0.130509646  0.32904039 -0.002774406 -0.0050521928
   [50,]  0.0421894330  0.285217974  0.08514373  0.021978159 -0.0338490285
   [51,]  0.0950771463  0.243899817  0.59494467  0.001459893  0.0007207744
   [52,]  0.0874246501  0.075427410  0.54868476 -0.032680244  0.0358561296
   [53,] -0.0354734229  0.216252480  0.62913467 -0.006952650 -0.0343432767
   [54,]  0.2656597028  0.046356794  0.04483268  0.049056897  0.0380912595
   [55,]  0.1819985251  0.171537011  0.55023318 -0.037429136 -0.0017651984
   [56,] -0.0388461917  0.113135287  0.65903762  0.040186682  0.0271230818
   [57,]  0.0072851823 -0.111475590  0.37182156  0.037823953 -0.0153674109
   [58,] -0.1712406520  0.128214836  0.70319892 -0.013801423 -0.0435791666
   [59,] -0.0521091851 -0.292724400  0.37804870  0.014180800 -0.0007038843
   [60,] -0.0156651304 -0.099808397  0.86379751  0.016110678 -0.0042624283
   [61,]  0.0001969794  0.128084093  0.10974355  0.045699345  0.0307058573
   [62,]  0.0648762577 -0.174703181  0.38504121 -0.017281139 -0.0172181919
   [63,]  0.0257079332 -0.098954199  0.89372679 -0.022220930  0.0344564827
   [64,]  0.1364136357 -0.002313632  0.51095689  0.048801365 -0.0145525717
   [65,]  0.0710564382 -0.106525297  0.92332611  0.007458667  0.0024064121
   [66,] -0.1109366693  0.174632821  0.14534892 -0.033425671  0.0470545179
   [67,] -0.0849568255  0.423912518  0.13095956 -0.035560294 -0.0429631366
   [68,] -0.1382339309  0.033387622  0.72278301  0.046699327  0.0314480813
   [69,] -0.1089722775  0.292256888  0.12731943  0.021227714 -0.0469257004
   [70,]  0.2013966349  0.197723048  0.03191514  0.028738201  0.0067218661
   [71,] -0.0566907701  0.131776282  0.66748087 -0.048813058 -0.0365070718
   [72,] -0.1063010396  0.055317306  0.71874140 -0.025414831  0.0148092618
   [73,]  0.0176651913 -0.128185950  0.88241999 -0.044960774 -0.0288158743
   [74,]  0.0353068477  0.139845606  0.08657420 -0.032921567 -0.0393909458
   [75,]  0.1402746081 -0.267844813  0.40052641  0.004026652 -0.0436995254
   [76,]  0.0256392128 -0.137361909  0.89178698  0.014284641 -0.0465217978
   [77,] -0.1280522272 -0.033046939  0.25553312 -0.032963758 -0.0291392233
   [78,] -0.0728610624  0.070311875  0.68693820  0.049464466  0.0114881480
   [79,] -0.3345972845 -0.140922125  0.26900981 -0.036069776 -0.0194828836
   [80,]  0.1072902918  0.173998034  0.05464647  0.020289299 -0.0485348954
   [81,] -0.1780656377 -0.202959143  0.29663925  0.036633093 -0.0097199444
   [82,] -0.1876751116  0.087116421  0.71974687 -0.029914531 -0.0044783109
   [83,] -0.0143729079 -0.101694819  0.35967328  0.035608689  0.0366461525
   [84,]  0.0608352925  0.143715936  0.07226579  0.030768446 -0.0395055116
   [85,] -0.0931896338 -0.056221115  0.28536875  0.022653194 -0.0053874930
   [86,]  0.0795980598 -0.239474206  0.41890499  0.014886355  0.0058034629
   [87,] -0.0043018994 -0.199315030  0.39279846 -0.003475857  0.0060975001
   [88,] -0.0993007126  0.069212199  0.70880013  0.021506445 -0.0234173421
   [89,]  0.2835643239 -0.131126037  0.46281453  0.031937469  0.0187736356
   [90,]  0.3793856712  0.279113500  0.04137405 -0.037160310 -0.0442129100
   [91,]  0.2312444607 -0.045258701  0.50018499  0.049801787 -0.0419374371
   [92,] -0.0618468942 -0.271872287  0.37603289  0.012772074 -0.0498900986
   [93,]  0.0845594947 -0.084146447  0.93603629  0.005877741  0.0109741065
   [94,] -0.1536838003 -0.070743683  0.30383456  0.025761254 -0.0074751925
   [95,]  0.1281951569  0.326210654  0.12179217  0.027342288 -0.0305212979
   [96,]  0.0798742454  0.134807525  0.59502223 -0.035392174 -0.0172342707
   [97,]  0.0589677022 -0.112630134  0.42532349  0.018060863 -0.0040695532
   [98,] -0.3552016390  0.080158976  0.24928544 -0.004448415  0.0392953042
   [99,] -0.0715559521 -0.102026048  0.83161640 -0.047147391  0.0337261188
  [100,]  0.4071285057  0.187344014  0.01598701 -0.017987990  0.0190098491
Code
  conic_spiral_3d(n = 100, num_noise = 0)
Output
                    x            y            z
    [1,] -0.143014732 -0.051377487  0.295109620
    [2,] -0.108405013 -0.095204393  0.813411705
    [3,]  0.094623220  0.263560413  0.126295811
    [4,]  0.102670088  0.440466244  0.100086436
    [5,]  0.281565484  0.044124775 -0.019003822
    [6,] -0.003909021 -0.101477767  0.873333988
    [7,]  0.027959618 -0.139188703  0.889422698
    [8,] -0.220636002  0.076040018  0.199122207
    [9,]  0.282062625  0.058781250  0.511306473
   [10,] -0.103806168  0.121491794  0.691392196
   [11,] -0.231719023  0.364324099  0.171368457
   [12,]  0.056774227 -0.083855400  0.921383188
   [13,] -0.123560101 -0.102916815  0.810396561
   [14,] -0.170132890 -0.143336586  0.283768703
   [15,] -0.042031372 -0.090739936  0.840535531
   [16,]  0.190879679  0.010426788  0.520068824
   [17,] -0.295517747 -0.235282257  0.305961305
   [18,] -0.078046938 -0.169999661  0.321013529
   [19,]  0.280160910  0.076534904 -0.009922608
   [20,]  0.050211538 -0.086662416  0.916424619
   [21,] -0.232082801  0.036163445  0.261802054
   [22,] -0.053545799 -0.142066035  0.842757582
   [23,] -0.170567856 -0.300772913  0.345286044
   [24,] -0.168002906  0.009138829  0.738067706
   [25,]  0.255098652  0.011254671  0.490463022
   [26,]  0.101092961  0.015182457  0.508562952
   [27,] -0.117792185 -0.060590145  0.273399465
   [28,] -0.110910151  0.099760930  0.682097469
   [29,] -0.193431571  0.077968492  0.722673779
   [30,]  0.048289337 -0.342091557  0.385583806
   [31,]  0.034907845 -0.102919225  0.903628665
   [32,]  0.063445879 -0.086413877  0.927430312
   [33,] -0.314464052  0.281539466  0.194971444
   [34,]  0.054098805  0.105224500  0.074524978
   [35,] -0.119397024  0.102947401  0.683634048
   [36,] -0.149843176  0.159658172  0.689585896
   [37,]  0.015436539  0.151691183  0.605357309
   [38,] -0.116248377  0.101963240  0.702423086
   [39,]  0.112905173  0.187965254  0.569919763
   [40,] -0.305928967 -0.022047273  0.233897431
   [41,] -0.032870971 -0.107613180  0.847551477
   [42,]  0.171882447 -0.061357053  0.489096828
   [43,] -0.342314560 -0.097875921  0.287250089
   [44,]  0.096839521 -0.045669428  0.966048805
   [45,] -0.133058517 -0.010917640  0.763878452
   [46,]  0.274604340 -0.103692009  0.461884407
   [47,]  0.102802899 -0.011530631  0.991208590
   [48,] -0.064071191 -0.145475231  0.839467978
   [49,]  0.025259319 -0.114690585  0.382266502
   [50,] -0.098858160  0.136012277  0.196274913
   [51,] -0.138677758  0.147424421  0.677248396
   [52,] -0.249382131 -0.086019555  0.299262463
   [53,]  0.051226817  0.222905559  0.616659347
   [54,] -0.176550821  0.073955104  0.241065485
   [55,]  0.042144958 -0.091260102  0.908740927
   [56,] -0.157215770  0.098872104  0.713680563
   [57,]  0.414643108  0.064037082 -0.012538067
   [58,]  0.089741826 -0.084794159  0.940368490
   [59,] -0.173762952  0.086779681  0.720139105
   [60,] -0.044177832  0.094557046  0.165839435
   [61,]  0.101188980  0.185190726  0.597629379
   [62,] -0.349883685  0.063182339  0.253799178
   [63,]  0.083703219  0.077610321  0.567116296
   [64,]  0.210543931  0.046422505  0.532333136
   [65,]  0.307821181  0.012749577  0.034989716
   [66,] -0.103278520  0.031528932  0.218613751
   [67,] -0.110227482 -0.019686276  0.769062824
   [68,]  0.168474405 -0.005164401  0.482397360
   [69,] -0.017498346  0.108100896  0.146757899
   [70,]  0.059528938  0.141207404  0.605401405
   [71,]  0.099363577 -0.034995421  0.973910450
   [72,] -0.238203881  0.044748895  0.210937579
   [73,] -0.064404290  0.196151978  0.175335613
   [74,]  0.053674434  0.248222414  0.604737591
   [75,] -0.086033437  0.214219031  0.660205194
   [76,] -0.130097571  0.007183787  0.260043560
   [77,]  0.041144017 -0.163105595  0.411998913
   [78,] -0.022534273 -0.262159667  0.387418289
   [79,] -0.164732738 -0.136432332  0.326801545
   [80,] -0.091789911  0.353640074  0.122524326
   [81,]  0.093426433 -0.078016417  0.945119630
   [82,]  0.073939776 -0.229579982  0.418600591
   [83,] -0.110733208  0.093924061  0.684620233
   [84,] -0.054530292  0.227303996  0.649181912
   [85,]  0.291099350  0.040891820  0.508301976
   [86,] -0.023050569  0.204709894  0.623504134
   [87,]  0.018005470  0.249759353  0.616594464
   [88,] -0.069801744  0.134211613  0.652752852
   [89,]  0.143672437 -0.012564496  0.479731664
   [90,] -0.117750605 -0.216297687  0.314278091
   [91,] -0.337322526 -0.160839454  0.276234809
   [92,] -0.057586933  0.095591658  0.158434036
   [93,]  0.085538274  0.091781438  0.575084433
   [94,] -0.376424902 -0.010196501  0.264730716
   [95,]  0.406957140  0.230952175  0.029001821
   [96,]  0.081797902 -0.058237112  0.950316329
   [97,]  0.055701011 -0.092541882  0.411362761
   [98,]  0.231057414 -0.061900126  0.494782800
   [99,]  0.071379941 -0.096283803  0.927990137
  [100,] -0.133327788 -0.027627103  0.281612007

dini_surface_3d() works

Code
  dini_surface_3d(n = 100, num_noise = 2, min_n = -0.05, max_n = 0.05)
Output
                    x            y           z                           
    [1,]  0.347151898 -0.839324583 11.36041584  0.046811273 -0.0397026339
    [2,] -0.648741637 -0.085146601  3.04097530 -0.012496258  0.0290763175
    [3,]  0.330471890  0.942706226  1.23365770 -0.039036306  0.0422360181
    [4,]  0.253389045 -0.761222512 11.22547072  0.012114244 -0.0214310022
    [5,] -0.246514057  0.864733938  8.10003919 -0.007777032 -0.0499433291
    [6,]  0.523088728 -0.506932653  5.35988562 -0.043311664 -0.0356851794
    [7,]  0.238064969  0.239539384 -0.01913971  0.009618158  0.0015637302
    [8,] -0.309640512  0.877870834  8.17538241  0.040446538 -0.0123396746
    [9,] -0.504711391 -0.628465947  3.94710645 -0.049745073 -0.0284339315
   [10,]  0.960836104 -0.017447131 12.55560826 -0.015265306 -0.0350829806
   [11,] -0.198839966  0.953705115  8.06347944  0.036571148 -0.0353439124
   [12,]  0.061234707 -0.006712548  3.69283627  0.015919120  0.0423142502
   [13,]  0.297093445  0.921524373  7.54752564 -0.031443569 -0.0051962465
   [14,]  0.123363267 -0.046773958  4.19780591  0.044940477 -0.0389469245
   [15,] -0.744154289 -0.618122361  3.82910207 -0.028938895 -0.0086575911
   [16,] -0.084782350  0.284225698  7.21311486  0.013595432  0.0232040592
   [17,]  0.006424263 -0.192239598  3.39490002  0.002368991 -0.0245691278
   [18,] -0.002655535  0.024989829  4.58287196 -0.030572272 -0.0315889175
   [19,] -0.166027330  0.372715415  7.64092767 -0.018436977  0.0227344875
   [20,] -0.139770029 -0.265923474  9.59310212  0.045953311 -0.0366494890
   [21,]  0.196364538 -0.424593269 10.91956933  0.034806118  0.0157848667
   [22,] -0.360768984  0.782508943  1.95094799  0.004200594  0.0070135517
   [23,]  0.568905980 -0.535606381  5.42034856 -0.030929957  0.0208199039
   [24,]  0.369682516  0.844046466  1.13644660 -0.023326323 -0.0189224581
   [25,] -0.125956866  0.909672364  7.96871815  0.038856192  0.0338216087
   [26,] -0.240603232  0.930045959  8.11462122  0.036005257 -0.0460992394
   [27,]  0.309434329  0.190674646  6.09661582 -0.005547783  0.0447378346
   [28,]  0.751391236  0.605385261  6.96767707  0.010797826  0.0272497393
   [29,] -0.713505955  0.672832819  2.38807249  0.029635492 -0.0160971409
   [30,]  0.230500085 -0.889184617 11.27197392  0.009967849  0.0464448324
   [31,]  0.161964438 -0.238815265  4.35128491 -0.006457079  0.0179349351
   [32,] -0.207644560  0.219635589  1.41538757 -0.030954550 -0.0207382537
   [33,] -0.196956443  0.933042780  8.05239280 -0.025088984  0.0037443788
   [34,] -0.950579597  0.025083500  9.40888525  0.031934072 -0.0118583800
   [35,]  0.027861544  0.119450107  5.82954655 -0.035403466  0.0063740385
   [36,] -0.470847067 -0.871013280  4.21588312 -0.042859625 -0.0297865495
   [37,]  0.471775798 -0.879257440  5.20476096 -0.034428535 -0.0433482581
   [38,] -0.398186880 -0.886912406 10.57801342  0.034162961 -0.0163532625
   [39,] -0.165248625  0.097125167  7.53909915 -0.045406635  0.0359919606
   [40,] -0.296276634  0.275903293  1.75253207  0.012260502 -0.0370901504
   [41,] -0.217685789 -0.038905499  2.10401887  0.002252682 -0.0496382012
   [42,]  0.239945560  0.967977635  1.32767639  0.004865140  0.0114451926
   [43,]  0.927942486 -0.344833511 12.21152974  0.037104514 -0.0157686300
   [44,]  0.096544105 -0.332565945 10.49405157  0.019189041 -0.0482725061
   [45,]  0.266604143  0.921158428  1.28108500  0.016947191  0.0417446218
   [46,] -0.759561413 -0.420656930  9.88252661  0.023474528  0.0490760001
   [47,]  0.503428273 -0.616886581  5.30086775 -0.046460505 -0.0143416769
   [48,] -0.049884198 -0.359081746 10.11631943 -0.014047195 -0.0389693632
   [49,] -0.034107378  0.634374263  7.65403261 -0.002774406 -0.0050521928
   [50,] -0.222968284 -0.027781133  8.34986287  0.021978159 -0.0338490285
   [51,]  0.926140266 -0.068656559 12.47381130  0.001459893  0.0007207744
   [52,]  0.325817713  0.835905532  7.44967562 -0.032680244  0.0358561296
   [53,] -0.159867243 -0.943375641 10.81907884 -0.006952650 -0.0343432767
   [54,] -0.026417070 -0.007611457  0.13491526  0.049056897  0.0380912595
   [55,] -0.002278861 -0.900224652 10.96189757 -0.037429136 -0.0017651984
   [56,]  0.031801939 -0.963736493  4.73890062  0.040186682  0.0271230818
   [57,]  0.441012136  0.529629049  6.96699885  0.037823953 -0.0153674109
   [58,]  0.580660577  0.795721731  0.93866224 -0.013801423 -0.0435791666
   [59,] -0.269745990  0.603299931  1.76763793  0.014180800 -0.0007038843
   [60,]  0.842686227 -0.515966531  5.73501010  0.016110678 -0.0042624283
   [61,]  0.101253939  0.225475200  6.32567115  0.045699345  0.0307058573
   [62,] -0.611659325  0.383482421  8.70502431 -0.017281139 -0.0172181919
   [63,]  0.581112679  0.784110818  7.21974431 -0.022220930  0.0344564827
   [64,] -0.159062719 -0.824812214  4.45665921  0.048801365 -0.0145525717
   [65,]  0.250373296  0.929896049  1.31460602  0.007458667  0.0024064121
   [66,] -0.248982250  0.221961583  7.87738183 -0.033425671  0.0470545179
   [67,]  0.206743070 -0.185519380 10.84146120 -0.035560294 -0.0429631366
   [68,] -0.902179248  0.417544404  8.99088978  0.046699327  0.0314480813
   [69,] -0.263790988 -0.147055282  9.01982902  0.021227714 -0.0469257004
   [70,] -0.123016001  0.007107815  7.57633787  0.028738201  0.0067218661
   [71,] -0.708259840 -0.658926702  3.88528377 -0.048813058 -0.0365070718
   [72,] -0.138086697 -0.979505605  4.57127135 -0.025414831  0.0148092618
   [73,] -0.817085427 -0.540843602 10.01220380 -0.044960774 -0.0288158743
   [74,]  0.027892732  0.207217578  6.45103515 -0.032921567 -0.0393909458
   [75,]  0.037231031 -0.734813680 10.89943494  0.004026652 -0.0436995254
   [76,]  0.276868295  0.938332860  1.28691191  0.014284641 -0.0465217978
   [77,]  0.110050058  0.502392545  7.21171450 -0.032963758 -0.0291392233
   [78,]  0.903075425  0.384291500  6.68310622  0.049464466  0.0114881480
   [79,]  0.203913794 -0.493641331 10.99284738 -0.036069776 -0.0194828836
   [80,] -0.101160946  0.125700043  7.00777845  0.020289299 -0.0485348954
   [81,] -0.521790590 -0.282772514  9.61403054  0.036633093 -0.0097199444
   [82,]  0.537640400  0.831553151  0.99593473 -0.029914531 -0.0044783109
   [83,]  0.609149362  0.267060310  6.47756273  0.035608689  0.0366461525
   [84,] -0.008389469  0.185003897  6.51118830  0.030768446 -0.0395055116
   [85,]  0.419341104  0.361058381  6.62931578  0.022653194 -0.0053874930
   [86,] -0.612803648  0.374357486  2.42976126  0.014886355  0.0058034629
   [87,] -0.620761115 -0.275430442  3.35581853 -0.003475857  0.0060975001
   [88,] -0.159272977 -0.973026049  4.54856371  0.021506445 -0.0234173421
   [89,]  0.761310900 -0.253022040 12.15404297  0.031937469  0.0187736356
   [90,]  0.082504020 -0.057873506  9.96414135 -0.037160310 -0.0442129100
   [91,] -0.659966481  0.494136703  2.42332166  0.049801787 -0.0419374371
   [92,] -0.454909604  0.471484770  2.10817581  0.012772074 -0.0498900986
   [93,] -0.380370892 -0.874857030 10.59495885  0.005877741  0.0109741065
   [94,] -0.251025791 -0.476415627  3.83992116  0.025761254 -0.0074751925
   [95,] -0.133365763  0.134282790  0.98597769  0.027342288 -0.0305212979
   [96,] -0.729239088 -0.558827049  3.77276735 -0.035392174 -0.0172342707
   [97,]  0.133839219 -0.723466594  4.74854179  0.018060863 -0.0040695532
   [98,]  0.016980852  0.447810417  0.98552143 -0.004448415  0.0392953042
   [99,] -0.827555443 -0.555397120  3.73286173 -0.047147391  0.0337261188
  [100,]  0.019795064 -0.065666173  8.91435430 -0.017987990  0.0190098491
Code
  dini_surface_3d(n = 100, num_noise = 0)
Output
                     x             y          z
    [1,] -9.468889e-02 -0.5182714575  4.1256371
    [2,] -9.546090e-01  0.2946110644  2.8422750
    [3,] -1.939028e-01 -0.0009762715  1.8036500
    [4,]  1.884666e-01 -0.0969331103 10.8354047
    [5,] -2.453890e-02  0.0031306562  5.9051608
    [6,]  7.533870e-01 -0.6346263799  5.5848743
    [7,]  6.818923e-01 -0.7008989757 11.7703626
    [8,] -4.152038e-01  0.1208101047  8.5622158
    [9,]  6.743838e-01 -0.5315520174 11.8452484
   [10,] -9.708896e-01 -0.1209250115  3.2624809
   [11,]  3.320491e-01  0.0325150643 -0.7214676
   [12,]  6.612818e-01  0.6996636006  7.1036825
   [13,] -3.696059e-01  0.9283390035  1.9497164
   [14,] -5.580373e-01  0.1345852391  8.8536965
   [15,]  9.937061e-01 -0.0214676030  6.2620313
   [16,] -8.352008e-01 -0.1355678557  3.2411911
   [17,]  5.564488e-01  0.1254697515 -0.1178361
   [18,] -4.845618e-01  0.4025519964  8.4713738
   [19,] -4.236705e-02  0.0023092290  6.5168280
   [20,]  9.292335e-01  0.2627668586  6.5648598
   [21,] -4.455259e-01 -0.1048288460  2.8441283
   [22,] -5.836887e-02 -0.9908693166 10.9373393
   [23,]  2.650751e-01  0.5597422866  0.8550472
   [24,] -7.639080e-01 -0.6404266474 10.1223057
   [25,] -3.066548e-01 -0.7876523791 10.5624244
   [26,]  7.770237e-01  0.3544550512  6.6547490
   [27,]  1.046639e-01  0.5341917847  7.2820514
   [28,] -9.019542e-01  0.3895842949  9.0148483
   [29,]  7.422421e-01  0.6571236409  0.7238824
   [30,]  6.965871e-01 -0.0410910602 12.3237511
   [31,] -3.593472e-01 -0.9046218176  4.3384132
   [32,] -4.469794e-01 -0.8507862583  4.2360266
   [33,]  3.636955e-01  0.0890181738 -0.4711483
   [34,]  1.073838e-01  0.1363218950  5.7347005
   [35,] -9.760555e-01  0.1175777632  9.3028084
   [36,]  5.659263e-01  0.7999559158  0.9523784
   [37,] -7.563866e-01  0.5644328086  8.7707973
   [38,] -9.585848e-01 -0.2171103648  3.3621940
   [39,] -5.842541e-01 -0.7085396574 10.2831690
   [40,] -3.415068e-01 -0.3506091116  9.7538471
   [41,] -3.274364e-01  0.9356584573  8.1913829
   [42,] -7.339445e-01 -0.3444405208  3.4951446
   [43,]  7.856613e-02  0.5118448855  0.9977348
   [44,] -9.361106e-01  0.0145965599  3.1416416
   [45,] -8.040228e-01 -0.5917889091  3.7760318
   [46,]  3.060084e-01 -0.7489481575 11.2969938
   [47,]  7.008673e-01  0.5906361254  0.7238866
   [48,]  4.954993e-01 -0.8612353256 11.5181445
   [49,]  3.301170e-01  0.6246006224  7.1928736
   [50,] -1.066021e-01 -0.3259361513  3.6030543
   [51,] -2.125556e-01 -0.9566049504 10.7742244
   [52,] -5.068557e-01  0.1373132839  2.4681998
   [53,] -1.748988e-01  0.9205702423  1.7432118
   [54,] -2.772353e-01 -0.3196182002  3.3987724
   [55,]  8.593328e-01  0.4486262279  6.7694475
   [56,] -5.793268e-01  0.7993450166  2.1965693
   [57,] -5.787547e-03 -0.0236878739  7.3488462
   [58,]  7.578492e-01  0.5773643556  0.6609436
   [59,] -1.728209e-01  0.9743683924  1.7453297
   [60,]  2.819110e-01 -0.1386253832  4.9501552
   [61,] -7.099889e-01  0.5865082392  2.4293903
   [62,] -4.408064e-02  0.4521382799  1.1327730
   [63,]  3.681878e-01 -0.8208695972  5.1026031
   [64,] -7.926562e-01  0.3326480499  2.6911969
   [65,] -6.562838e-03  0.0005774142 -1.6617985
   [66,]  3.495426e-01  0.2631486588  6.3596464
   [67,]  1.138083e-01 -0.9925866135  4.8265229
   [68,] -6.693970e-01  0.5055061040  8.7119908
   [69,]  2.137189e-01 -0.1683596980  4.6024180
   [70,] -7.057203e-01 -0.6011703813  3.8279489
   [71,] -9.302739e-01 -0.0149701706  3.1755668
   [72,] -4.489422e-01  0.0625853823  8.7490938
   [73,] -2.133565e-01 -0.2051561571  2.9746726
   [74,]  8.052716e-01 -0.4805423906 12.0132774
   [75,]  5.940137e-01  0.7622661386  0.9029217
   [76,]  1.308751e-01 -0.4531831858  4.4916752
   [77,] -4.393032e-01 -0.5576213084  3.8736164
   [78,] -5.579131e-01  0.3738537783  2.3396223
   [79,] -5.355790e-01 -0.2035065133  3.1687249
   [80,] -1.117318e-01 -0.2636548459  9.6303433
   [81,]  8.052485e-01  0.5035217059  0.5696951
   [82,] -6.725420e-01  0.2487487878  2.6228889
   [83,] -8.490076e-01  0.4961425232  8.8938819
   [84,]  5.173718e-01  0.8088136054  0.9940754
   [85,]  7.978636e-01 -0.3024437173 12.1471488
   [86,] -5.716209e-01 -0.7643586986 10.3440984
   [87,]  8.529488e-01 -0.4075424872 12.1082704
   [88,] -8.595815e-01  0.4500405555  8.9375623
   [89,] -3.036627e-01  0.7766336743  8.1574807
   [90,] -6.089879e-01 -0.1240846843  9.3550482
   [91,]  3.646379e-01 -0.3987231678 11.3516511
   [92,]  2.411843e-01  0.2252203178  6.2049237
   [93,]  7.171279e-05 -0.9046685716  4.6834429
   [94,]  2.134924e-01  0.4334820057  0.6324732
   [95,]  5.637645e-02 -0.0596301726  9.5578116
   [96,]  7.910315e-01  0.5184741807  6.8755721
   [97,]  5.447900e-01  0.5039353731  6.8886889
   [98,] -6.330690e-01  0.5183998897  2.3755516
   [99,] -7.420272e-01  0.6104361047  2.4606215
  [100,]  6.894595e-02 -0.5030016064  4.4108858

roman_surface_3d() works

Code
  roman_surface_3d(n = 100, num_noise = 2, min_n = -0.05, max_n = 0.05)
Output
                     x            y            z                           
    [1,] -1.306904e-02 -0.061479760  0.202577449  0.046811273 -0.0397026339
    [2,]  9.455417e-02  0.286017746  0.267938117 -0.012496258  0.0290763175
    [3,]  1.963898e-01 -0.141707179 -0.444820895 -0.039036306  0.0422360181
    [4,] -3.410296e-03  0.032991970 -0.102162045  0.012114244 -0.0214310022
    [5,] -1.353286e-02 -0.162011383  0.080697823 -0.007777032 -0.0499433291
    [6,]  1.524588e-02  0.268129074  0.052242111 -0.043311664 -0.0356851794
    [7,]  1.410966e-01  0.086468327  0.432959032  0.009618158  0.0015637302
    [8,] -3.778011e-02 -0.257409606  0.133184389  0.040446538 -0.0123396746
    [9,]  4.340756e-03  0.082636506  0.052022578 -0.049745073 -0.0284339315
   [10,] -4.294929e-03 -0.001023880  0.225568717 -0.015265306 -0.0350829806
   [11,] -3.503332e-01 -0.267234015  0.127145062  0.036571148 -0.0353439124
   [12,]  2.702748e-02  0.096184884  0.002626116  0.015919120  0.0423142502
   [13,] -2.723116e-01 -0.250279655  0.081479001 -0.031443569 -0.0051962465
   [14,]  8.627048e-02  0.201083149  0.018268628  0.044940477 -0.0389469245
   [15,]  1.058617e-01 -0.341822671 -0.239982428 -0.028938895 -0.0086575911
   [16,] -3.177041e-01  0.362458950 -0.181920406  0.013595432  0.0232040592
   [17,]  3.164463e-01  0.264800864  0.107102099  0.002368991 -0.0245691278
   [18,] -3.711852e-01  0.036023883 -0.016051251 -0.030572272 -0.0315889175
   [19,] -2.616431e-01  0.425691020 -0.231157200 -0.018436977  0.0227344875
   [20,] -3.369538e-01  0.201071157 -0.356383637  0.045953311 -0.0366494890
   [21,] -1.402386e-01  0.140172058 -0.479502083  0.034806118  0.0157848667
   [22,]  1.542301e-03 -0.028997783 -0.052992069  0.004200594  0.0070135517
   [23,]  4.798042e-03  0.156381651  0.029883114 -0.030929957  0.0208199039
   [24,]  1.944749e-02 -0.073354659 -0.246270760 -0.023326323 -0.0189224581
   [25,] -2.444079e-02 -0.224101599  0.101991176  0.038856192  0.0338216087
   [26,] -3.744296e-01 -0.201021601  0.098593090  0.036005257 -0.0460992394
   [27,] -9.483536e-02  0.455727976 -0.063321673 -0.005547783  0.0447378346
   [28,] -1.555794e-01 -0.242244181  0.041470547  0.010797826  0.0272497393
   [29,]  4.054346e-01 -0.187346194 -0.275981004  0.029635492 -0.0160971409
   [30,] -3.056012e-01 -0.011605060  0.033959753  0.009967849  0.0464448324
   [31,]  1.880595e-01  0.385929272  0.095963473 -0.006457079  0.0179349351
   [32,]  3.604144e-01  0.225893639  0.343261555 -0.030954550 -0.0207382537
   [33,] -6.348793e-02 -0.333834879  0.159087348 -0.025088984  0.0037443788
   [34,] -4.839375e-01 -0.125346203  0.123703604  0.031934072 -0.0118583800
   [35,] -2.993626e-01  0.177888309 -0.062008709 -0.035403466  0.0063740385
   [36,]  1.680193e-01 -0.424341037 -0.241045789 -0.042859625 -0.0297865495
   [37,]  1.303370e-01 -0.481883646 -0.133148518 -0.034428535 -0.0433482581
   [38,] -3.824052e-01 -0.136053148  0.250115015  0.034162961 -0.0163532625
   [39,] -4.395125e-01  0.226251984 -0.172912388 -0.045406635  0.0359919606
   [40,]  2.927428e-01  0.271915803  0.399214894  0.012260502 -0.0370901504
   [41,]  4.394053e-01  0.237752837  0.217606460  0.002252682 -0.0496382012
   [42,]  1.525665e-01 -0.162937322 -0.472681993  0.004865140  0.0114451926
   [43,] -7.165520e-02 -0.034859947  0.390875169  0.037104514 -0.0157686300
   [44,] -2.167561e-01  0.141821509 -0.425018425  0.019189041 -0.0482725061
   [45,]  5.567480e-02 -0.123064995 -0.368559325  0.016947191  0.0417446218
   [46,] -3.185190e-03 -0.049502410  0.063920783  0.023474528  0.0490760001
   [47,]  3.280915e-03  0.119753034  0.026978086 -0.046460505 -0.0143416769
   [48,] -2.628943e-01  0.190380255 -0.418191297 -0.014047195 -0.0389693632
   [49,] -8.022732e-02  0.381207244 -0.163932413 -0.002774406 -0.0050521928
   [50,] -4.384255e-01  0.223718063 -0.238032048  0.021978159 -0.0338490285
   [51,] -1.612843e-03 -0.005218952  0.282086423  0.001459893  0.0007207744
   [52,] -8.841976e-03 -0.166460821  0.051452828 -0.032680244  0.0358561296
   [53,] -6.734700e-02 -0.160482446  0.345658202 -0.006952650 -0.0343432767
   [54,]  4.941666e-01  0.032563935  0.028289169  0.049056897  0.0380912595
   [55,] -1.248938e-02 -0.070708496  0.170400315 -0.037429136 -0.0017651984
   [56,]  7.282822e-02 -0.377227722 -0.152620557  0.040186682  0.0271230818
   [57,] -2.866358e-02  0.333658094 -0.074300955  0.037823953 -0.0153674109
   [58,]  7.749127e-02 -0.110507627 -0.461355088 -0.013801423 -0.0435791666
   [59,]  7.506567e-02  0.183020443  0.336765382  0.014180800 -0.0007038843
   [60,]  1.118937e-01 -0.376397391 -0.052026298  0.016110678 -0.0042624283
   [61,] -2.319400e-01  0.338813374 -0.100066286  0.045699345  0.0307058573
   [62,] -4.300422e-02  0.228038935 -0.171705803 -0.017281139 -0.0172181919
   [63,] -2.013863e-01 -0.297606701  0.070704360 -0.022220930  0.0344564827
   [64,]  6.930720e-06  0.003835237  0.001807084  0.048801365 -0.0145525717
   [65,]  2.861557e-01 -0.075750977 -0.223377533  0.007458667  0.0024064121
   [66,] -3.461152e-01  0.360831116 -0.248650743 -0.033425671  0.0470545179
   [67,] -1.460557e-01  0.070315649 -0.380287636 -0.035560294 -0.0429631366
   [68,] -2.152882e-01 -0.386984698  0.311044926  0.046699327  0.0314480813
   [69,] -3.799672e-01  0.251239088 -0.324884617  0.021227714 -0.0469257004
   [70,] -4.812073e-01  0.135710909 -0.131850042  0.028738201  0.0067218661
   [71,]  1.047156e-01 -0.345124072 -0.235133315 -0.048813058 -0.0365070718
   [72,]  1.438713e-01 -0.441928157 -0.201455190 -0.025414831  0.0148092618
   [73,] -4.198529e-01 -0.195994221  0.263669125 -0.044960774 -0.0288158743
   [74,] -2.943910e-01  0.287633709 -0.108019482 -0.032921567 -0.0393909458
   [75,] -2.488041e-02  0.096025936 -0.240387757  0.004026652 -0.0436995254
   [76,]  2.648335e-01 -0.100789831 -0.303159563  0.014284641 -0.0465217978
   [77,] -1.369873e-01  0.467823993 -0.164848723 -0.032963758 -0.0291392233
   [78,] -3.124783e-02 -0.461281505  0.046553355  0.049464466  0.0114881480
   [79,] -1.114733e-01  0.142382394 -0.468963608 -0.036069776 -0.0194828836
   [80,] -4.223685e-01  0.206207479 -0.129888998  0.020289299 -0.0485348954
   [81,] -1.423431e-01  0.279692940 -0.359457614  0.036633093 -0.0097199444
   [82,]  9.374558e-02 -0.120420518 -0.473158829 -0.029914531 -0.0044783109
   [83,] -1.765258e-02  0.375470240 -0.038922570  0.035608689  0.0366461525
   [84,] -3.314004e-01  0.253939337 -0.108571663  0.030768446 -0.0395055116
   [85,] -6.367353e-02  0.474109057 -0.085153841  0.022653194 -0.0053874930
   [86,]  4.548659e-02  0.176637905  0.233177284  0.014886355  0.0058034629
   [87,]  7.350894e-02  0.277639358  0.224974856 -0.003475857  0.0060975001
   [88,]  1.334260e-01 -0.432944387 -0.200268978  0.021506445 -0.0234173421
   [89,] -9.328826e-04  0.008609155 -0.107093783  0.031937469  0.0187736356
   [90,] -1.467996e-01  0.023752496 -0.154106722 -0.037160310 -0.0442129100
   [91,]  1.106733e-03  0.028216455  0.039131464  0.049801787 -0.0419374371
   [92,]  8.657199e-02  0.215663220  0.325908924  0.012772074 -0.0498900986
   [93,] -4.023227e-01 -0.090663372  0.167856091  0.005877741  0.0109741065
   [94,]  1.682362e-01  0.425318734  0.240107256  0.025761254 -0.0074751925
   [95,]  4.215350e-01  0.156230462  0.234249521  0.027342288 -0.0305212979
   [96,]  3.105447e-02 -0.201198219 -0.144225112 -0.035392174 -0.0172342707
   [97,]  2.310118e-02  0.243457796  0.088033115  0.018060863 -0.0040695532
   [98,]  1.925985e-01  0.185806049  0.460879339 -0.004448415  0.0392953042
   [99,]  3.495120e-01 -0.356432450 -0.264067007 -0.047147391  0.0337261188
  [100,] -2.947455e-01  0.033603044 -0.101569692 -0.017987990  0.0190098491
Code
  roman_surface_3d(n = 100, num_noise = 0)
Output
                     x            y            z
    [1,]  1.590599e-01  0.446110949  0.208864035
    [2,]  3.343648e-01 -0.305186183 -0.354659052
    [3,]  4.544721e-01  0.203679392  0.203167293
    [4,] -1.048978e-01  0.036829248 -0.308654375
    [5,] -4.982407e-01  0.028308835 -0.026567388
    [6,]  1.451715e-01 -0.354790073 -0.062734008
    [7,] -1.724938e-01 -0.062878166  0.310529622
    [8,] -2.883820e-01  0.372485781 -0.323160628
    [9,] -4.317613e-04 -0.008516780  0.050561735
   [10,]  1.450791e-01 -0.330883211 -0.310992717
   [11,]  1.806695e-02  0.010694054  0.438143362
   [12,] -1.862966e-01 -0.229519744  0.047338533
   [13,]  2.773163e-01 -0.220198223 -0.415402805
   [14,] -1.631125e-01  0.351167501 -0.311892280
   [15,]  4.153571e-03 -0.421346722 -0.002275317
   [16,]  9.275446e-05 -0.010025751 -0.009249901
   [17,]  1.853824e-02  0.026156358  0.471282186
   [18,] -1.082079e-01  0.344481187 -0.241839959
   [19,] -4.975965e-01  0.047637858 -0.046358224
   [20,] -6.409051e-02 -0.249076327  0.017187500
   [21,]  2.675074e-01  0.372263105  0.331556556
   [22,] -2.853845e-01 -0.162930674  0.377544176
   [23,]  6.640215e-02  0.120281807  0.414963123
   [24,] -2.285588e-01 -0.286727054  0.409393536
   [25,] -5.014410e-05 -0.005143443  0.009747948
   [26,] -1.473978e-04 -0.037019854  0.003976060
   [27,] -1.214897e-01  0.457434660 -0.164043187
   [28,] -1.571449e-01 -0.361979484  0.294799711
   [29,]  7.173933e-02 -0.088438006 -0.482819579
   [30,] -1.804864e-03  0.004830084 -0.327879541
   [31,]  3.749714e-01 -0.257393030 -0.136375635
   [32,]  4.048652e-01 -0.196734268 -0.110985503
   [33,]  4.062072e-02  0.028010549  0.466202248
   [34,] -2.023101e-01  0.253853892 -0.058340495
   [35,] -1.626282e-01 -0.341195239  0.321332585
   [36,]  6.925267e-02 -0.108522416 -0.445830947
   [37,] -6.120577e-02 -0.271792666  0.196147235
   [38,]  1.609252e-01 -0.348790342 -0.311959615
   [39,] -2.932318e-02 -0.131860255  0.207961743
   [40,] -2.220522e-01  0.276238010 -0.416376297
   [41,] -3.251933e-01 -0.357056680  0.184463644
   [42,]  3.576942e-03  0.066555835  0.053349564
   [43,]  1.402169e-01  0.171937604  0.464350402
   [44,]  4.939411e-01 -0.076969594 -0.077571981
   [45,]  2.472442e-01 -0.404623210 -0.293021149
   [46,] -2.265223e-03  0.026163308 -0.085876636
   [47,]  1.713747e-01 -0.004860996 -0.027482825
   [48,] -1.935433e-01 -0.108543201  0.404476950
   [49,] -2.845665e-02  0.301788096 -0.083895264
   [50,]  2.942656e-01  0.396867441  0.202456387
   [51,] -1.176378e-01 -0.198541144  0.413796514
   [52,]  2.068486e-01  0.324880862  0.370972091
   [53,]  4.192296e-02 -0.132557902 -0.281835879
   [54,]  2.722488e-01  0.412346596  0.265073101
   [55,] -1.097411e-01 -0.267482596  0.032330363
   [56,]  1.609955e-01 -0.250904499 -0.409708560
   [57,] -3.927017e-01  0.016735749 -0.034416285
   [58,]  1.542409e-01 -0.029941684 -0.182335003
   [59,]  1.476170e-01 -0.205778972 -0.441004089
   [60,]  8.704090e-02  0.419044998  0.048086725
   [61,]  3.291490e-02 -0.146706338 -0.208663535
   [62,]  2.016723e-01  0.201700310  0.455332209
   [63,]  9.383489e-03 -0.175105072 -0.051737325
   [64,]  1.441386e-03 -0.034302300 -0.041896525
   [65,]  4.994653e-01  0.007154889  0.007475928
   [66,] -9.097294e-02  0.488101621 -0.079435101
   [67,]  1.810893e-01 -0.465388823 -0.177387007
   [68,] -2.782426e-05  0.006218441 -0.004474212
   [69,]  1.349274e-01  0.375469294  0.063218953
   [70,]  3.913060e-02 -0.226775082 -0.158162044
   [71,]  4.964091e-01 -0.059815378 -0.059336064
   [72,] -2.725237e-01  0.364007326 -0.339631682
   [73,]  3.679110e-01  0.335607616  0.226631297
   [74,] -1.473401e-02 -0.042104423  0.311140479
   [75,]  4.827685e-02 -0.093307333 -0.403582655
   [76,]  1.544091e-01  0.474056322  0.158368151
   [77,]  4.749011e-02  0.260430432  0.163101190
   [78,]  7.746056e-02  0.219346872  0.295959477
   [79,]  1.625342e-01  0.361402854  0.301094740
   [80,] -3.359632e-01  0.187136994 -0.348401806
   [81,]  1.337631e-01 -0.023735333 -0.168790899
   [82,]  4.718574e-02  0.188953280  0.225780508
   [83,] -1.581749e-01 -0.372767258  0.285256976
   [84,]  4.571788e-02 -0.097302283 -0.380384574
   [85,] -1.096218e-04 -0.003153568  0.034718906
   [86,] -7.457548e-02 -0.195887900  0.317198178
   [87,] -1.480393e-02 -0.037876314  0.338492690
   [88,] -1.167861e-01 -0.336381377  0.263674562
   [89,] -1.963513e-04  0.019277583 -0.010180631
   [90,] -1.216787e-01  0.288295311 -0.318829667
   [91,] -7.856007e-02  0.100471082 -0.477216814
   [92,] -1.368180e-01  0.427665563 -0.081271509
   [93,]  1.467140e-02 -0.184260436 -0.076318893
   [94,]  1.302833e-01  0.137343571  0.480719159
   [95,] -1.945235e-01  0.025774009 -0.124989065
   [96,] -1.396271e-01 -0.150623688  0.022002121
   [97,] -1.180077e-02  0.241773696 -0.045649842
   [98,]  2.013435e-03  0.037586828  0.053338513
   [99,]  4.455339e-01 -0.129415563 -0.183871445
  [100,]  1.475765e-01  0.465745778  0.174587396

spiral_3d() works

Code
  spiral_3d(n = 100, num_dims = 6, num_noise = 2, min_n = -0.05, max_n = 0.05)
Output
                 [,1]          [,2]          [,3]          [,4]          [,5]
    [1,] -0.439112258  0.0427584121 -4.163586e-03  4.054279e-04 -3.947840e-05
    [2,] -1.162891415  1.0326564554 -9.170068e-01  8.143091e-01 -7.231127e-01
    [3,]  0.616623480 -0.3594179731  2.094978e-01 -1.221123e-01  7.117689e-02
    [4,] -0.872298453 -0.6776035480 -5.263641e-01 -4.088809e-01 -3.176197e-01
    [5,]  0.014110930  0.0004058330  1.167184e-05  3.356842e-07  9.654342e-09
    [6,]  0.519877205  0.5154836421  5.111272e-01  5.068076e-01  5.025245e-01
    [7,] -0.040384530  0.0003622093 -3.248659e-06  2.913726e-08 -2.613324e-10
    [8,]  1.027601537  0.5292064218  2.725370e-01  1.403543e-01  7.228134e-02
    [9,]  1.611036044 -1.1898789351  8.788207e-01 -6.490794e-01  4.793970e-01
   [10,] -1.342482766  1.0729532471 -8.575370e-01  6.853698e-01 -5.477685e-01
   [11,]  1.029051287  0.8442528612  6.926408e-01  5.682554e-01  4.662073e-01
   [12,]  0.253977652  0.2519700010  2.499782e-01  2.480022e-01  2.460418e-01
   [13,]  0.144455983  0.0797913559  4.407336e-02  2.434425e-02  1.344673e-02
   [14,] -0.329662221  0.2988278239 -2.708775e-01  2.455414e-01 -2.225751e-01
   [15,]  1.626794727 -1.1139113892  7.627260e-01 -5.222596e-01  3.576056e-01
   [16,] -0.074938088  0.0749145653 -7.489105e-02  7.486754e-02 -7.484404e-02
   [17,] -0.495208057 -0.1615567939 -5.270633e-02 -1.719492e-02 -5.609676e-03
   [18,]  0.974991432  0.4600587254  2.170830e-01  1.024326e-01  4.833377e-02
   [19,] -0.113273921  0.1132447495 -1.132156e-01  1.131864e-01 -1.131573e-01
   [20,] -1.662003733  0.6482627786 -2.528542e-01  9.862551e-02 -3.846878e-02
   [21,]  1.544647046 -1.2300110147  9.794646e-01 -7.799531e-01  6.210810e-01
   [22,]  0.056960525  0.0007217050  9.144195e-06  1.158594e-07  1.467969e-09
   [23,]  0.331123158  0.0450515394  6.129566e-03  8.339688e-04  1.134671e-04
   [24,]  0.063481581  0.0561864761  4.972970e-02  4.401492e-02  3.895686e-02
   [25,]  0.008577614 -0.0085775785  8.577543e-03 -8.577508e-03  8.577473e-03
   [26,] -0.823609694  0.1513738103 -2.782147e-02  5.113395e-03 -9.398069e-04
   [27,]  0.927075359  0.4057583052  1.775905e-01  7.772705e-02  3.401924e-02
   [28,]  0.144538991  0.0732646885  3.713679e-02  1.882409e-02  9.541656e-03
   [29,] -0.123099435 -0.0099642300 -8.065502e-04 -6.528586e-05 -5.284535e-06
   [30,]  1.599712026 -0.9932317507  6.166793e-01 -3.828848e-01  2.377261e-01
   [31,]  1.617190318 -1.1776862653  8.576263e-01 -6.245491e-01  4.548153e-01
   [32,] -0.376355231  0.2684783340 -1.915228e-01  1.366255e-01 -9.746375e-02
   [33,] -0.609595011 -0.5724397350 -5.375491e-01 -5.047851e-01 -4.740180e-01
   [34,]  0.024458773  0.0012379013  6.265235e-05  3.170945e-06  1.604871e-07
   [35,]  1.373670507 -1.1886470967  1.028545e+00 -8.900075e-01  7.701300e-01
   [36,]  0.012083252  0.0118486040  1.161851e-02  1.139289e-02  1.117165e-02
   [37,]  1.589589117 -0.9673849752  5.887268e-01 -3.582847e-01  2.180433e-01
   [38,]  0.164590099 -0.1625054095  1.604471e-01 -1.584149e-01  1.564084e-01
   [39,]  1.905706346  1.6011187672  1.345213e+00  1.130209e+00  9.495684e-01
   [40,] -0.380175467  0.2794364310 -2.053913e-01  1.509666e-01 -1.109634e-01
   [41,] -0.666604002  0.0988100402 -1.464651e-02  2.171038e-03 -3.218108e-04
   [42,]  0.595472727 -0.4623707716  3.590202e-01 -2.787709e-01  2.164591e-01
   [43,] -0.381278059  0.3062536134 -2.459918e-01  1.975878e-01 -1.587082e-01
   [44,] -0.738948832  0.2203329382 -6.569684e-02  1.958888e-02 -5.840830e-03
   [45,]  1.044830945  0.8462647441  6.854353e-01  5.551709e-01  4.496628e-01
   [46,]  1.119683956  0.8110979708  5.875586e-01  4.256269e-01  3.083237e-01
   [47,]  0.056247432  0.0069192137  8.511592e-04  1.047044e-04  1.288009e-05
   [48,] -0.627624059  0.6123035419 -5.973570e-01  5.827753e-01 -5.685496e-01
   [49,]  1.437473116 -1.2143153932  1.025801e+00 -8.665528e-01  7.320265e-01
   [50,] -0.781599976  0.7503838378 -7.204144e-01  6.916420e-01 -6.640186e-01
   [51,]  1.594138938 -1.2098305007  9.181696e-01 -6.968210e-01  5.288343e-01
   [52,] -1.692950346  0.6749027786 -2.690532e-01  1.072594e-01 -4.275946e-02
   [53,] -1.335349968  0.8503204461 -5.414647e-01  3.447924e-01 -2.195559e-01
   [54,] -0.198084471  0.1933085305 -1.886477e-01  1.840993e-01 -1.796606e-01
   [55,] -1.374169470  1.0303414629 -7.725419e-01  5.792459e-01 -4.343140e-01
   [56,] -1.243241382  0.3509339703 -9.905932e-02  2.796181e-02 -7.892876e-03
   [57,] -0.149006457  0.1471106652 -1.452390e-01  1.433911e-01 -1.415668e-01
   [58,]  1.078821558  0.2721927598  6.867577e-02  1.732728e-02  4.371771e-03
   [59,]  0.337290965  0.0254900507  1.926357e-03  1.455803e-04  1.100192e-05
   [60,] -0.868737950  0.8547654287 -8.410176e-01  8.274910e-01 -8.141818e-01
   [61,]  0.683930400  0.6419406005  6.025288e-01  5.655366e-01  5.308156e-01
   [62,] -0.363509267  0.2419300181 -1.610141e-01  1.071614e-01 -7.132020e-02
   [63,] -0.206800450  0.2012875048 -1.959215e-01  1.906986e-01 -1.856149e-01
   [64,] -0.381463686  0.2842577383 -2.118222e-01  1.578449e-01 -1.176223e-01
   [65,]  1.547770696 -1.2295797387  9.768025e-01 -7.759913e-01  6.164629e-01
   [66,]  1.348075084 -1.1762498578  1.026325e+00 -8.955103e-01  7.813688e-01
   [67,] -1.865686447 -1.2750258336 -8.713634e-01 -5.954971e-01 -4.069677e-01
   [68,] -2.295312095  1.4270624209 -8.872463e-01  5.516269e-01 -3.429625e-01
   [69,]  0.319952550 -0.3181479313  3.163535e-01 -3.145692e-01  3.127949e-01
   [70,]  0.143813778  0.0817985629  4.652548e-02  2.646281e-02  1.505155e-02
   [71,] -0.754093743 -0.3996855389 -2.118417e-01 -1.122806e-01 -5.951107e-02
   [72,] -0.816484943 -0.1918181154 -4.506414e-02 -1.058699e-02 -2.487218e-03
   [73,]  0.446447308  0.4354038889  4.246336e-01  4.141298e-01  4.038858e-01
   [74,] -1.875539234 -1.3764098350 -1.010112e+00 -7.412949e-01 -5.440172e-01
   [75,]  2.027579349  1.6133707238  1.283780e+00  1.021520e+00  8.128363e-01
   [76,] -0.253409218  0.0142362438 -7.997761e-04  4.493052e-05 -2.524146e-06
   [77,] -0.424661174 -0.0513397443 -6.206758e-03 -7.503709e-04 -9.071668e-05
   [78,]  0.026939663  0.0015075004  8.435731e-05  4.720500e-06  2.641516e-07
   [79,] -0.142307802  0.1406700366 -1.390511e-01  1.374508e-01 -1.358690e-01
   [80,]  0.136008325 -0.1348242125  1.336504e-01 -1.324868e-01  1.313334e-01
   [81,]  0.596699825 -0.3191439156  1.706936e-01 -9.129519e-02  4.882908e-02
   [82,] -0.098432424  0.0176679025 -3.171260e-03  5.692180e-04 -1.021705e-04
   [83,] -0.046755410  0.0041542099 -3.691008e-04  3.279454e-05 -2.913789e-06
   [84,] -1.869003374 -1.2894026193 -8.895431e-01 -6.136850e-01 -4.233738e-01
   [85,] -1.886895845  1.7033393069 -1.537639e+00  1.388058e+00 -1.253028e+00
   [86,]  2.098207247  1.3280500500  8.405828e-01  5.320428e-01  3.367539e-01
   [87,]  0.177205955  0.0070032498  2.767712e-04  1.093811e-05  4.322784e-07
   [88,] -0.294290997  0.2749809356 -2.569379e-01  2.400788e-01 -2.243259e-01
   [89,] -0.020771975  0.0008419290 -3.412504e-05  1.383155e-06 -5.606198e-08
   [90,]  1.549425586 -1.2293190269  9.753455e-01 -7.738421e-01  6.139687e-01
   [91,] -0.595858498 -0.5888807578 -5.819847e-01 -5.751695e-01 -5.684340e-01
   [92,] -0.954011894  0.3767938037 -1.488174e-01  5.877649e-02 -2.321420e-02
   [93,]  0.857955325  0.7676702712  6.868862e-01  6.146032e-01  5.499268e-01
   [94,]  1.088969761  0.6328276871  3.677521e-01  2.137100e-01  1.241922e-01
   [95,]  1.954019321  1.0466199259  5.605949e-01  3.002682e-01  1.608309e-01
   [96,] -0.204133617  0.1988547775 -1.937124e-01  1.887031e-01 -1.838233e-01
   [97,]  1.251326512 -1.1213424657  1.004861e+00 -9.004788e-01  8.069398e-01
   [98,] -0.846198010 -0.5413540454 -3.463305e-01 -2.215645e-01 -1.417456e-01
   [99,] -1.809171494 -1.4613798006 -1.180447e+00 -9.535200e-01 -7.702172e-01
  [100,] -0.115061938  0.0238879142 -4.959350e-03  1.029607e-03 -2.137558e-04
                [,6]          [,7]         [,8]
    [1,] -0.44120897 -0.0494111540 -0.046811273
    [2,] -2.52896654 -0.0095421034  0.012496258
    [3,] -0.75886732 -0.0095423958  0.039036306
    [4,]  1.38516271 -0.0056648134 -0.012114244
    [5,]  0.01411677 -0.0361641475  0.007777032
    [6,]  4.00725771 -0.0137938427  0.043311664
    [7,] -0.04038615  0.0227676261 -0.009618158
    [8,]  1.19879543  0.0486252397 -0.040446538
    [9,] -2.38967304 -0.0374798555  0.049745073
   [10,] -2.23365709 -0.0060145900  0.015265306
   [11,]  1.79978554  0.0122375009 -0.036571148
   [12,]  2.02392333 -0.0151320067 -0.015919120
   [13,]  0.17329021 -0.0069745122  0.031443569
   [14,] -0.78067708  0.0119806817 -0.044940477
   [15,] -2.23215826  0.0425165671  0.028938895
   [16,] -2.99108510 -0.0198855986 -0.013595432
   [17,]  0.52387065  0.0341541310 -0.002368991
   [18,]  1.10584134  0.0139019090  0.030572272
   [19,] -4.99149006  0.0043720318  0.018436977
   [20,] -1.80496777 -0.0362611223 -0.045953311
   [21,] -2.55358050 -0.0091411981 -0.034806118
   [22,]  0.05696510  0.0375122381 -0.004200594
   [23,]  0.33423116 -0.0205436346  0.030929957
   [24,]  0.13639253  0.0096704798  0.023326323
   [25,] -3.00089758 -0.0074246488 -0.038856192
   [26,] -0.83788308 -0.0395226781 -0.036005257
   [27,]  1.03107708  0.0140160184  0.005547783
   [28,]  0.16767601  0.0001349537 -0.010797826
   [29,]  0.12350470  0.0395929786 -0.029635492
   [30,] -2.04069795 -0.0421812224 -0.009967849
   [31,] -2.35971474 -0.0192060802  0.006457079
   [32,] -0.53704153  0.0329963851  0.030954550
   [33,]  1.77319885 -0.0441801412  0.025088984
   [34,]  0.02449016  0.0359260298 -0.031934072
   [35,] -2.74053484 -0.0215506210  0.035403466
   [36,]  0.06161276 -0.0231140854  0.042859625
   [37,] -2.00327305 -0.0290469873  0.034428535
   [38,] -1.03740751  0.0346599014 -0.034162961
   [39,]  3.51397617 -0.0245407152  0.045406635
   [40,] -0.56069288  0.0438232428 -0.012260502
   [41,] -0.67405019  0.0190370204 -0.002252682
   [42,] -0.94497609 -0.0157330000 -0.004865140
   [43,] -0.64008239  0.0136145061 -0.037104514
   [44,] -0.77416356 -0.0211817049 -0.019189041
   [45,]  1.78148692 -0.0296529576 -0.016947191
   [46,]  1.62418763 -0.0385897858 -0.023474528
   [47,]  0.05667790 -0.0114352393  0.046460505
   [48,] -2.85801360  0.0394679684  0.014047195
   [49,] -2.68611165 -0.0379028531  0.002774406
   [50,] -2.79352394  0.0086608654 -0.021978159
   [51,] -2.44808077  0.0397832549 -0.001459893
   [52,] -1.84598015 -0.0389684510  0.032680244
   [53,] -1.73186397 -0.0107839450  0.006952650
   [54,] -0.90753813  0.0229901668 -0.049056897
   [55,] -2.07680915 -0.0032016000  0.037429136
   [56,] -1.29594216 -0.0188916723 -0.040186682
   [57,] -0.93709390 -0.0406173033 -0.037823953
   [58,]  1.11489096  0.0218278701  0.013801423
   [59,]  0.33825829 -0.0178925602 -0.014180800
   [60,] -4.86333440  0.0418970450 -0.016110678
   [61,]  1.98244560 -0.0289520095 -0.045699345
   [62,] -0.48704148  0.0182308341  0.017281139
   [63,] -0.90164222  0.0420673159  0.022220930
   [64,] -0.57202330 -0.0215416480 -0.048801365
   [65,] -2.54832012 -0.0032879685 -0.007458667
   [66,] -2.75938356  0.0136172979  0.033425671
   [67,]  2.55560795 -0.0128606171  0.035560294
   [68,] -2.93056354  0.0406865353 -0.046699327
   [69,] -3.01671198 -0.0056567913 -0.021227714
   [70,]  0.17485193  0.0206802091 -0.028738201
   [71,]  0.88927774  0.0293639539  0.048813058
   [72,]  0.83999480  0.0099463716  0.025414831
   [73,]  2.01971913  0.0216768384  0.044960774
   [74,]  2.76104741  0.0126717287  0.032921567
   [75,]  3.34764030  0.0137911398 -0.004026652
   [76,] -0.25381006 -0.0201560635 -0.014284641
   [77,]  0.42779899 -0.0474466317  0.032963758
   [78,]  0.02698194  0.0034467781 -0.049464466
   [79,] -0.94070910 -0.0451321898  0.036069776
   [80,] -1.03296127  0.0449525188 -0.020289299
   [81,] -0.70619704  0.0301143471 -0.036633093
   [82,] -0.10005743  0.0015380326  0.029914531
   [83,] -0.04694106  0.0313923658 -0.035608689
   [84,]  2.58179480  0.0142799772 -0.030768446
   [85,] -4.38580663 -0.0342363236 -0.022653194
   [86,]  2.71017347 -0.0437694831 -0.014886355
   [87,]  0.17734450  0.0163590239  0.003475857
   [88,] -0.82604221  0.0215670073 -0.021506445
   [89,] -0.02078906  0.0312772650 -0.031937469
   [90,] -2.54548090  0.0404797181  0.037160310
   [91,]  3.90496808  0.0197967365 -0.049801787
   [92,] -1.03843732 -0.0082434738 -0.012772074
   [93,]  1.92137065  0.0110442976 -0.005877741
   [94,]  1.33810608  0.0086618911 -0.025761254
   [95,]  2.31393722  0.0378016111 -0.027342288
   [96,] -0.90346965  0.0267662517  0.035392174
   [97,] -2.81953630  0.0202962862 -0.018060863
   [98,]  1.10098286 -0.0326327926  0.004448415
   [99,]  3.06894699 -0.0398299208  0.047147391
  [100,] -0.11762476  0.0465680600  0.017987990
Code
  spiral_3d(n = 100, num_dims = 6, num_noise = 0)
Output
                  [,1]          [,2]          [,3]          [,4]          [,5]
    [1,]  6.387390e-02  6.384161e-02  6.380934e-02  6.377709e-02  6.374485e-02
    [2,] -1.801128e+00 -1.109818e+00 -6.838475e-01 -4.213729e-01 -2.596414e-01
    [3,] -3.294340e-01  2.986943e-01 -2.708229e-01  2.455522e-01 -2.226396e-01
    [4,] -1.363439e-03  1.363439e-03 -1.363439e-03  1.363438e-03 -1.363438e-03
    [5,]  4.358612e-01  4.332799e-01  4.307138e-01  4.281629e-01  4.256271e-01
    [6,] -8.784703e-01 -6.435661e-01 -4.714757e-01 -3.454025e-01 -2.530414e-01
    [7,]  8.270871e-01 -2.065908e-01  5.160250e-02 -1.288933e-02  3.219513e-03
    [8,]  5.278603e-01 -4.482545e-01  3.806540e-01 -3.232482e-01  2.744996e-01
    [9,] -7.135510e-01 -6.464988e-01 -5.857476e-01 -5.307051e-01 -4.808349e-01
   [10,] -1.512975e+00  5.296506e-01 -1.854161e-01  6.490904e-02 -2.272286e-02
   [11,] -1.839297e-01  1.835778e-01 -1.832265e-01  1.828759e-01 -1.825260e-01
   [12,] -9.949899e-01 -9.598412e-01 -9.259341e-01 -8.932249e-01 -8.616711e-01
   [13,] -1.237436e+00  3.475498e-01 -9.761383e-02  2.741610e-02 -7.700162e-03
   [14,] -7.645906e-01 -6.750800e-01 -5.960483e-01 -5.262690e-01 -4.646586e-01
   [15,] -2.848681e-01 -5.295825e-02 -9.845177e-03 -1.830263e-03 -3.402540e-04
   [16,] -6.458010e-01 -2.820210e-01 -1.231584e-01 -5.378324e-02 -2.348712e-02
   [17,]  6.492954e-01  6.137834e-01  5.802137e-01  5.484801e-01  5.184820e-01
   [18,]  1.177838e-01  3.650783e-02  1.131583e-02  3.507412e-03  1.087144e-03
   [19,]  1.999539e-01 -1.962360e-01  1.925872e-01 -1.890063e-01  1.854920e-01
   [20,] -2.913338e-01  2.727640e-01 -2.553778e-01  2.390998e-01 -2.238594e-01
   [21,]  3.411907e-01 -3.225026e-01  3.048382e-01 -2.881413e-01  2.723589e-01
   [22,]  1.221461e+00 -4.816063e-01  1.898911e-01 -7.487161e-02  2.952090e-02
   [23,]  1.118613e+00  8.132813e-01  5.912915e-01  4.298951e-01  3.125528e-01
   [24,] -1.582139e-01 -1.580891e-01 -1.579644e-01 -1.578398e-01 -1.577153e-01
   [25,]  6.445287e-02 -2.797842e-03  1.214519e-04 -5.272118e-06  2.288580e-07
   [26,]  8.815861e-01  7.820182e-01  6.936956e-01  6.153484e-01  5.458498e-01
   [27,] -1.033437e+00  4.485506e-01 -1.946879e-01  8.450186e-02 -3.667699e-02
   [28,]  2.556392e-02  2.448446e-02  2.345059e-02  2.246037e-02  2.151196e-02
   [29,]  1.504874e+00 -8.092296e-01  4.351543e-01 -2.339995e-01  1.258307e-01
   [30,] -1.579596e+00  5.807669e-01 -2.135294e-01  7.850791e-02 -2.886485e-02
   [31,]  7.598567e-02 -3.896710e-03  1.998317e-04 -1.024781e-05  5.255297e-07
   [32,]  1.124214e+00  7.333450e-01  4.783742e-01  3.120521e-01  2.035572e-01
   [33,] -6.446808e-01 -2.809633e-01 -1.224488e-01 -5.336535e-02 -2.325756e-02
   [34,]  2.111351e-06  8.915629e-12  3.764814e-17  1.589773e-22  6.713155e-28
   [35,]  8.039987e-01  7.874312e-01  7.712052e-01  7.553135e-01  7.397493e-01
   [36,]  1.365013e+00 -6.262993e-01  2.873605e-01 -1.318476e-01  6.049471e-02
   [37,] -1.808567e+00 -1.461530e+00 -1.181084e+00 -9.544512e-01 -7.713061e-01
   [38,]  4.826744e-01 -4.250961e-01  3.743863e-01 -3.297257e-01  2.903926e-01
   [39,] -2.394001e-01  2.303170e-01 -2.215786e-01  2.131716e-01 -2.050837e-01
   [40,] -9.669097e-02 -2.665516e-03 -7.348126e-05 -2.025685e-06 -5.584281e-08
   [41,] -8.712109e-01 -6.794384e-01 -5.298791e-01 -4.132412e-01 -3.222777e-01
   [42,] -2.203814e+00  1.262153e+00 -7.228516e-01  4.139866e-01 -2.370956e-01
   [43,]  5.908812e-02  5.284332e-02  4.725852e-02  4.226395e-02  3.779724e-02
   [44,] -1.339280e+00  8.590057e-01 -5.509609e-01  3.533829e-01 -2.266576e-01
   [45,]  1.891725e+00  9.584055e-01  4.855574e-01  2.459981e-01  1.246301e-01
   [46,]  4.623242e-01  4.500330e-01  4.380687e-01  4.264224e-01  4.150857e-01
   [47,] -9.086402e-01  8.566986e-01 -8.077262e-01  7.615532e-01 -7.180197e-01
   [48,]  1.941761e+00  1.028382e+00  5.446448e-01  2.884510e-01  1.527675e-01
   [49,] -3.621358e-01  3.127638e-01 -2.701229e-01  2.332956e-01 -2.014891e-01
   [50,]  4.923577e-01 -7.092413e-02  1.021662e-02 -1.471704e-03  2.119990e-04
   [51,] -5.737765e-01  1.314173e-01 -3.009970e-02  6.894009e-03 -1.578998e-03
   [52,]  1.396492e+00 -1.198765e+00  1.029034e+00 -8.833345e-01  7.582646e-01
   [53,] -3.692492e-01  2.527414e-01 -1.729949e-01  1.184105e-01 -8.104887e-02
   [54,] -1.718407e+00 -9.686998e-01 -5.460751e-01 -3.078333e-01 -1.735317e-01
   [55,] -1.673084e+00 -1.442591e+00 -1.243851e+00 -1.072491e+00 -9.247390e-01
   [56,] -3.555333e-01  2.284439e-01 -1.467841e-01  9.431446e-02 -6.060070e-02
   [57,] -3.355828e-01  1.992719e-01 -1.183293e-01  7.026495e-02 -4.172392e-02
   [58,]  1.448214e+00 -1.217742e+00  1.023947e+00 -8.609938e-01  7.239732e-01
   [59,]  1.188708e-02  1.166008e-02  1.143741e-02  1.121899e-02  1.100475e-02
   [60,]  6.264160e-01 -4.386585e-01  3.071781e-01 -2.151067e-01  1.506321e-01
   [61,] -1.371704e+00  9.541097e-01 -6.636459e-01  4.616092e-01 -3.210795e-01
   [62,]  2.106417e-01  9.903849e-03  4.656544e-04  2.189391e-05  1.029398e-06
   [63,]  4.023667e-01  3.943236e-01  3.864413e-01  3.787166e-01  3.711462e-01
   [64,] -8.113874e-01 -4.798460e-01 -2.837759e-01 -1.678221e-01 -9.924821e-02
   [65,] -1.089034e-01 -3.380643e-03 -1.049439e-04 -3.257732e-06 -1.011284e-07
   [66,]  2.729411e-01  2.704490e-01  2.679796e-01  2.655327e-01  2.631082e-01
   [67,] -4.386968e-02  4.382613e-02 -4.378263e-02  4.373917e-02 -4.369575e-02
   [68,] -4.949005e-01 -1.613508e-01 -5.260469e-02 -1.715054e-02 -5.591534e-03
   [69,] -1.835457e+00  8.076677e-01 -3.554032e-01  1.563903e-01 -6.881743e-02
   [70,] -1.069573e+00 -3.344346e-01 -1.045712e-01 -3.269739e-02 -1.022384e-02
   [71,]  9.383103e-01  8.125559e-01  7.036554e-01  6.093500e-01  5.276836e-01
   [72,]  1.428298e-01  8.360867e-02  4.894223e-02  2.864945e-02  1.677060e-02
   [73,]  2.483480e-02 -2.482725e-02  2.481971e-02 -2.481217e-02  2.480463e-02
   [74,]  1.127142e+00  7.543928e-01  5.049127e-01  3.379365e-01  2.261798e-01
   [75,]  6.886225e-01 -6.701281e-01  6.521303e-01 -6.346159e-01  6.175719e-01
   [76,] -4.258070e-01 -4.233160e-01 -4.208396e-01 -4.183777e-01 -4.159302e-01
   [77,]  2.123884e+00  1.510852e+00  1.074764e+00  7.645473e-01  5.438705e-01
   [78,]  1.972944e-01  1.578098e-02  1.262272e-03  1.009652e-04  8.075900e-06
   [79,]  5.062067e-01 -4.989983e-01  4.918925e-01 -4.848880e-01  4.779832e-01
   [80,] -3.829954e-01  2.935617e-01 -2.250118e-01  1.724690e-01 -1.321956e-01
   [81,]  6.212494e-01  1.659093e-01  4.430734e-02  1.183261e-02  3.159988e-03
   [82,]  1.121725e+00  8.062845e-01  5.795491e-01  4.165739e-01  2.994291e-01
   [83,] -2.458133e-01  2.449661e-01 -2.441218e-01  2.432805e-01 -2.424420e-01
   [84,]  5.292416e-01 -2.287814e-01  9.889795e-02 -4.275176e-02  1.848079e-02
   [85,]  1.715466e+00  7.516212e-01  3.293183e-01  1.442888e-01  6.321929e-02
   [86,]  1.388348e-01  8.707411e-02  5.461097e-02  3.425080e-02  2.148134e-02
   [87,] -8.445603e-01 -6.955935e-01 -5.729020e-01 -4.718513e-01 -3.886243e-01
   [88,]  6.896471e-02  1.058191e-03  1.623683e-05  2.491372e-07  3.822748e-09
   [89,] -8.513531e-01 -6.941390e-01 -5.659567e-01 -4.614450e-01 -3.762328e-01
   [90,] -1.359339e+00  9.099366e-01 -6.091084e-01  4.077351e-01 -2.729365e-01
   [91,] -7.982968e-01 -6.890283e-01 -5.947162e-01 -5.133132e-01 -4.430525e-01
   [92,]  5.080665e-01  5.039677e-01  4.999019e-01  4.958689e-01  4.918685e-01
   [93,] -5.364104e-01 -5.125882e-01 -4.898240e-01 -4.680708e-01 -4.472836e-01
   [94,]  3.711862e-01 -1.014479e-01  2.772646e-02 -7.577846e-03  2.071081e-03
   [95,]  1.074841e+00  6.053570e-01  3.409406e-01  1.920198e-01  1.081467e-01
   [96,] -1.241844e-01 -4.394831e-03 -1.555312e-04 -5.504180e-06 -1.947905e-07
   [97,] -1.221023e+00  6.611889e-01 -3.580363e-01  1.938781e-01 -1.049857e-01
   [98,]  1.093745e+00  8.384844e-01  6.427972e-01  4.927799e-01  3.777740e-01
   [99,]  5.817927e-01 -4.629092e-01  3.683183e-01 -2.930561e-01  2.331730e-01
  [100,]  1.592669e+00 -9.749320e-01  5.967921e-01 -3.653186e-01  2.236250e-01
                  [,6]
    [1,]  2.009105e+00
    [2,]  2.286840e+00
    [3,] -7.810211e-01
    [4,] -2.999855e+00
    [5,]  4.010765e+00
    [6,]  1.290614e+00
    [7,] -8.541621e-01
    [8,] -9.995747e-01
    [9,]  1.686034e+00
   [10,] -1.615179e+00
   [11,] -2.974602e+00
   [12,]  3.776836e+00
   [13,] -1.289335e+00
   [14,]  1.628505e+00
   [15,]  2.899220e-01
   [16,]  7.178698e-01
   [17,]  1.990592e+00
   [18,]  1.238850e-01
   [19,] -1.041742e+00
   [20,] -8.292790e-01
   [21,] -1.045270e+00
   [22,] -1.329138e+00
   [23,]  1.629229e+00
   [24,]  3.984211e+00
   [25,] -6.451368e-02
   [26,]  1.909610e+00
   [27,] -1.147123e+00
   [28,]  8.891137e-02
   [29,] -1.784906e+00
   [30,] -1.698569e+00
   [31,] -7.608578e-02
   [32,]  1.483239e+00
   [33,]  7.162842e-01
   [34,]  2.111351e-06
   [35,]  3.980972e+00
   [36,] -1.536264e+00
   [37,]  3.070442e+00
   [38,] -1.019039e+00
   [39,] -8.774330e-01
   [40,]  9.672773e-02
   [41,]  1.391863e+00
   [42,] -2.688378e+00
   [43,]  1.320582e-01
   [44,] -1.745645e+00
   [45,]  2.194161e+00
   [46,]  2.018435e+00
   [47,] -2.726542e+00
   [48,]  2.289167e+00
   [49,] -7.184275e-01
   [50,] -4.975469e-01
   [51,] -5.894456e-01
   [52,] -2.722411e+00
   [53,] -5.064887e-01
   [54,]  2.080481e+00
   [55,]  3.303165e+00
   [56,] -4.639893e-01
   [57,] -4.170769e-01
   [58,] -2.675652e+00
   [59,]  6.111732e-02
   [60,] -8.774796e-01
   [61,] -1.909220e+00
   [62,]  2.108749e-01
   [63,]  2.022498e+00
   [64,]  1.006202e+00
   [65,]  1.089559e-01
   [66,]  2.024393e+00
   [67,] -9.848376e-01
   [68,]  5.235045e-01
   [69,] -2.043984e+00
   [70,]  1.126034e+00
   [71,]  1.876312e+00
   [72,]  1.761669e-01
   [73,] -1.007541e+00
   [74,]  1.517025e+00
   [75,] -2.991381e+00
   [76,]  3.942354e+00
   [77,]  3.021925e+00
   [78,]  1.979286e-01
   [79,] -3.010296e+00
   [80,] -5.963267e-01
   [81,]  6.446632e-01
   [82,]  1.613465e+00
   [83,] -2.963317e+00
   [84,] -5.869124e-01
   [85,]  1.908396e+00
   [86,]  1.782502e-01
   [87,]  1.489137e+00
   [88,]  6.897283e-02
   [89,]  1.470416e+00
   [90,] -1.829760e+00
   [91,]  1.580805e+00
   [92,]  4.007864e+00
   [93,]  1.820188e+00
   [94,] -3.858778e-01
   [95,]  1.300762e+00
   [96,]  1.242622e-01
   [97,] -1.452392e+00
   [98,]  1.703378e+00
   [99,] -9.604604e-01
  [100,] -2.014121e+00

torus_3d() works

Code
  torus_3d(n = 100, num_noise = 2, min_n = -0.05, max_n = 0.05)
Output
             [,1]        [,2]         [,3]         [,4]          [,5]
  out  0.90951920 -0.60806107 -0.423402332  0.046811273 -0.0397026339
  elt -0.08991944  1.37608857  0.783829026 -0.012496258  0.0290763175
  elt  1.92353899  1.36399767 -0.933694924 -0.039036306  0.0422360181
  elt  0.83003839 -0.59852019  0.214714262  0.012114244 -0.0214310022
  elt -0.64328797 -0.85230208 -0.361993519 -0.007777032 -0.0499433291
  elt -1.07740800  0.43641026  0.546342158 -0.043311664 -0.0356851794
  elt  2.27991016  0.94849529  0.883018221  0.009618158  0.0015637302
  elt -0.68459612 -0.96740243 -0.579647433  0.040446538 -0.0123396746
  elt -0.44066721  0.91907265  0.195296091 -0.049745073 -0.0284339315
  elt  2.89233295 -0.02625773 -0.451142082 -0.015265306 -0.0350829806
  elt -1.77013063 -2.17725247 -0.591877980  0.036571148 -0.0353439124
  elt -2.97686698  0.16267482  0.192441454  0.015919120  0.0423142502
  elt -2.30396469 -1.67795640 -0.526417071 -0.031443569 -0.0051962465
  elt -2.86711352  0.52529668  0.403822613  0.044940477 -0.0389469245
  elt -0.49260368  1.36398943 -0.835306661 -0.028938895 -0.0086575911
  elt -1.54463353 -2.07264114  0.811101781  0.013595432  0.0232040592
  elt -2.02761009  1.96098328  0.571280516  0.002368991 -0.0245691278
  elt -2.00402888 -2.22826939  0.078876177 -0.030572272 -0.0315889175
  elt -1.22407299 -1.88529399  0.968806473 -0.018436977  0.0227344875
  elt  1.33131560 -2.20375109  0.818385989  0.045953311 -0.0366494890
  elt  1.72001191 -1.09958228  0.999140538  0.034806118  0.0157848667
  elt  0.54307519  0.84839423 -0.120814417  0.004200594  0.0070135517
  elt -0.97792502  0.38791002  0.318422494 -0.030929957  0.0208199039
  elt  0.95601211  0.62496716 -0.513926816 -0.023326323 -0.0189224581
  elt -0.74198663 -0.85180408 -0.492437719  0.038856192  0.0338216087
  elt -1.77175118 -2.28843176 -0.447795853  0.036005257 -0.0460992394
  elt -2.30083104 -0.65197046  0.920212197 -0.005547783  0.0447378346
  elt -2.70737514 -0.95495518 -0.491536569  0.010797826  0.0272497393
  elt  1.01314292  2.55113040 -0.667125509  0.029635492 -0.0160971409
  elt  2.37055274 -1.83439665 -0.071775824  0.009967849  0.0464448324
  elt -2.30262724  1.22059095  0.795362536 -0.006457079  0.0179349351
  elt  1.01659347  2.36007814  0.821842883 -0.030954550 -0.0207382537
  elt -0.83580668 -1.03065600 -0.739606682 -0.025088984  0.0037443788
  elt -0.03872579 -2.93566285 -0.352217275  0.031934072 -0.0118583800
  elt -2.29220660 -1.81908089  0.376772240 -0.035403466  0.0063740385
  elt -0.91276612  1.53101233 -0.976049974 -0.042859625 -0.0297865495
  elt -1.72952833  1.03476726 -0.999880746 -0.034428535 -0.0433482581
  elt  1.53330562 -2.36913681 -0.569448787  0.034162961 -0.0163532625
  elt -0.74096005 -2.72296339  0.569521392 -0.045406635  0.0359919606
  elt  0.82697717  2.10151405  0.966045000  0.012260502 -0.0370901504
  elt -0.24414201  2.75371405  0.644605254  0.002252682 -0.0496382012
  elt  1.56760255  1.22646358 -0.999953674  0.004865140  0.0114451926
  elt  2.57833755 -0.46358197 -0.784853142  0.037104514 -0.0157686300
  elt  1.95413931 -1.46752808  0.896111606  0.019189041 -0.0482725061
  elt  1.09567189  0.82352660 -0.777125394  0.016947191  0.0417446218
  elt  0.25348964 -0.98093565 -0.161695456  0.023474528  0.0490760001
  elt -0.93104859  0.44192346  0.245508504 -0.046460505 -0.0143416769
  elt  1.57224754 -1.80576569  0.918974650 -0.014047195 -0.0389693632
  elt -0.99198238 -1.04674944  0.829922404 -0.002774406 -0.0050521928
  elt  0.17077138 -2.75178207  0.653326955  0.021978159 -0.0338490285
  elt  1.17360555 -0.04344122 -0.564269394  0.001459893  0.0007207744
  elt -0.87732561 -0.59965247 -0.348462901 -0.032680244  0.0358561296
  elt  0.87291423 -1.03328620 -0.762192123 -0.006952650 -0.0343432767
  elt -0.41889290  2.96684558  0.086271361  0.049056897  0.0380912595
  elt  0.75604245 -0.75795875 -0.368976740 -0.037429136 -0.0017651984
  elt -1.01975695  0.98666147 -0.813864335  0.040186682  0.0271230818
  elt -1.15017686 -0.53898403  0.683661775  0.037823953 -0.0153674109
  elt  1.50138800  0.76302784 -0.948810736 -0.013801423 -0.0435791666
  elt  0.73863510  1.13936198  0.766570036  0.014180800 -0.0007038843
  elt -2.55062055  0.71883590 -0.759951924  0.016110678 -0.0042624283
  elt -2.27318356 -1.47105629  0.706562846  0.045699345  0.0307058573
  elt -0.32582179 -1.13307184  0.570910285 -0.017281139 -0.0172181919
  elt -2.49279489 -1.25531207 -0.611780532 -0.022220930  0.0344564827
  elt -0.63667106  0.77118212  0.008479292  0.048801365 -0.0145525717
  elt  2.28729702  1.75290343 -0.471744562  0.007458667  0.0024064121
  elt -0.88356971 -2.31892603  0.876416079 -0.033425671  0.0470545179
  elt  2.45969599 -0.94180030  0.773467457 -0.035560294 -0.0429631366
  elt -0.40465479 -1.83775855 -0.992987618  0.046699327  0.0314480813
  elt  0.64657094 -2.48771371  0.821391731  0.021227714 -0.0469257004
  elt -0.08441530 -2.92441274  0.378427718  0.028738201  0.0067218661
  elt -0.53067423  1.34949272 -0.835220452 -0.048813058 -0.0365070718
  elt -1.15594435  1.33033489 -0.971359232 -0.025414831  0.0148092618
  elt  0.79367328 -2.63697962 -0.657069683 -0.044960774 -0.0288158743
  elt -2.09948703 -1.83581814  0.614496082 -0.032921567 -0.0393909458
  elt  0.82946845 -0.78850553  0.517715189  0.004026652 -0.0436995254
  elt  2.21799463  1.65808181 -0.638950109  0.014284641 -0.0465217978
  elt -1.46006615 -1.17485514  0.992037077 -0.032963758 -0.0291392233
  elt -1.59277619 -0.32479980 -0.927249355  0.049464466  0.0114881480
  elt  1.49782906 -1.00186546  0.980203269 -0.036069776 -0.0194828836
  elt -1.24085892 -2.59140625  0.487412253  0.020289299 -0.0485348954
  elt  0.39012953 -1.53870104  0.910907058  0.036633093 -0.0097199444
  elt  1.56731349  0.85302527 -0.976484262 -0.029914531 -0.0044783109
  elt -1.31565093 -0.27573310  0.754964550  0.035608689  0.0366461525
  elt -1.95775589 -2.04854721  0.552351312  0.030768446 -0.0395055116
  elt -1.62365279 -0.60268453  0.963391041  0.022653194 -0.0053874930
  elt  0.32195027  1.14458975  0.585055878  0.014886355  0.0058034629
  elt -0.26958936  1.27231605  0.714695177 -0.003475857  0.0060975001
  elt -1.10092603  1.29578627 -0.954040891  0.021506445 -0.0234173421
  elt  1.01021747 -0.16347705  0.214878532  0.031937469  0.0187736356
  elt  2.81321570 -0.88830553  0.311852932 -0.037160310 -0.0442129100
  elt  0.31731560  0.95323875  0.096487094  0.049801787 -0.0419374371
  elt  0.53801202  1.26670743  0.781606682  0.012772074 -0.0498900986
  elt  1.60343247 -2.44556976 -0.381552169  0.005877741  0.0109741065
  elt -0.92271228  1.52914417  0.976826535  0.025761254 -0.0074751925
  elt  1.08607425  2.60936276  0.563136912  0.027342288 -0.0305212979
  elt -0.36325997  1.07125036 -0.495102439 -0.035392174 -0.0172342707
  elt -0.87980337  0.73197081  0.517770327  0.018060863 -0.0040695532
  elt  1.52053991  1.46397425  0.993848385 -0.004448415  0.0392953042
  elt -0.71690846  2.35469226 -0.887187637 -0.047147391  0.0337261188
  elt  2.38947912 -1.77537884  0.213967914 -0.017987990  0.0190098491
Code
  torus_3d(n = 100, num_noise = 0)
Output
              [,1]        [,2]        [,3]
  out -1.170948578  1.40426503  0.98516834
  elt  0.350804429  2.32627898 -0.93578128
  elt -0.007093771  2.81788533  0.57536856
  elt  2.705122972 -0.65488528  0.62168776
  elt -0.190021668 -2.99095084  0.07764577
  elt -2.530052228  0.92360488 -0.72058740
  elt  2.555125861 -1.07899874 -0.63366335
  elt -0.305511091 -2.14352295  0.98626254
  elt  0.949800459 -0.32931865 -0.10254803
  elt -0.097917003  1.57839756 -0.90818538
  elt  2.478360350  0.12105407  0.87654770
  elt -2.648054761 -1.14085567 -0.46870140
  elt  1.313603912  1.93688156 -0.94031218
  elt -0.195618114 -1.64545755  0.93935171
  elt -2.538226414  0.02741418 -0.84270573
  elt -0.080400272  0.99713609 -0.02728196
  elt  1.659840114  0.18481292  0.94401494
  elt -0.496042611 -1.37336240  0.84179298
  elt -0.081425415 -2.99001520  0.13294285
  elt -2.839239210 -0.39371789 -0.49933727
  elt -0.239476792  2.06336166  0.99701468
  elt  1.762273681 -1.86913836 -0.82240139
  elt  1.264654901  0.80039858  0.86408821
  elt  0.674343381 -1.85400267 -0.99963087
  elt  0.564583195 -0.82567054 -0.02204337
  elt -0.979905188 -0.21294683 -0.07446553
  elt -1.362511010 -1.12146091  0.97191900
  elt -0.332405427 -1.60787097 -0.93367235
  elt  1.692104124  0.64140494 -0.98170469
  elt  1.244551311 -0.03667562  0.65583023
  elt -1.579700013  2.32728320 -0.58257870
  elt -1.495696893  2.47534984 -0.45176168
  elt  2.340092122  0.28221546  0.93408592
  elt -2.567278141 -1.24581984  0.52094304
  elt -0.098946327 -1.64871660 -0.93737681
  elt  1.423418073  0.73661087 -0.91769788
  elt -0.396357129 -1.19388862 -0.67035809
  elt -0.183120719  1.63750591 -0.93589210
  elt  0.481808737 -1.02177998 -0.49248437
  elt  0.763519089 -1.80955200  0.99935311
  elt -1.501572546 -2.11634386 -0.80378183
  elt -0.220828483  0.99033731  0.17059725
  elt  1.412381373  1.21212822  0.99032083
  elt  0.023198560  2.97573388 -0.21855645
  elt -0.636679297  1.93907309 -0.99916232
  elt  0.843619989 -0.56663105  0.17954738
  elt  2.816523264  1.02851574 -0.05581881
  elt  2.204215635 -1.27482789 -0.83757562
  elt -1.045433468 -0.62992972  0.62646459
  elt -1.440444817  1.98664868  0.89104961
  elt  1.003208125 -1.25058559 -0.91792405
  elt  0.241986674  1.81865809  0.98624108
  elt  0.776542268  0.93796802 -0.62290629
  elt -0.912176988  1.99873292  0.98039475
  elt -2.760541004 -0.67722161 -0.53885876
  elt  0.783114121  1.53472221 -0.96086247
  elt  1.850741533 -2.35736373  0.07653930
  elt  2.775380728  0.93676489 -0.36955410
  elt  1.137355446  1.35683641 -0.97330281
  elt -2.471040612  0.57468692  0.84359005
  elt  0.385752796  1.07266014 -0.51014986
  elt  1.403791744  1.54730839  0.99601292
  elt -0.897391914  0.58101719 -0.36517687
  elt  0.198526924  0.98609538 -0.10829528
  elt  0.131583001  2.99689854  0.02069608
  elt -2.036781236 -0.68097952  0.98904626
  elt -1.558451529  1.38997275 -0.99609820
  elt -0.317829152 -0.94827180  0.01532156
  elt -2.502146258  0.86717250  0.76150857
  elt -0.403141799  1.09493663 -0.55296354
  elt -0.024020939  2.98560384 -0.16850695
  elt -0.144818903 -2.08769748  0.99569275
  elt -0.966368661  2.39922783  0.80992399
  elt  1.177807239 -0.32471478 -0.62795280
  elt  1.293820957  0.63204058 -0.82845692
  elt -1.620447251  1.21869690  0.99961966
  elt -0.528728642  1.08963869  0.61457630
  elt  0.385130781  1.26659042  0.73676336
  elt -0.299921434  1.63369958  0.94078704
  elt  1.442227903 -2.17757629  0.79095910
  elt  2.826078558  0.81083832 -0.34090312
  elt  0.209991286  1.17309641  0.58882996
  elt -0.432671186 -1.59794207 -0.93878000
  elt  1.211231450  0.66305120 -0.78526469
  elt  0.986028156 -0.18061481 -0.06972367
  elt  0.597239874 -1.19242001 -0.74561854
  elt  1.236554079 -0.28024226 -0.68121044
  elt -0.353718609 -1.43820642 -0.85481391
  elt -0.564383515 -0.82666447  0.04360140
  elt  0.149414123 -1.48166864  0.85968958
  elt  1.628321038 -0.71743942  0.97535701
  elt -2.318212944 -0.91409517  0.87063860
  elt -0.765825039  0.76576434 -0.39888084
  elt  1.686636072  1.04941961  0.99990833
  elt  2.724851151 -1.17369218  0.25523766
  elt -2.829163523 -0.84455190 -0.30444434
  elt -1.051698010 -0.41182871  0.49209116
  elt  0.339256704  0.94978010  0.13050313
  elt  0.976293957  2.72348016 -0.44969810
  elt -1.430329173  1.24764924  0.99478619

cube_3d() works

Code
  cube_3d(num_dims = 3, num_noise = 2, min_n = -0.01, max_n = 0.01)
Output
  $df
                Var1       Var2       Var3                            
     [1,] 0.00000000 0.00000000 0.00000000 -8.124178e-03 -2.697369e-03
     [2,] 0.09090909 0.00000000 0.00000000 -1.391643e-03 -2.970038e-03
     [3,] 0.18181818 0.00000000 0.00000000  4.792298e-03  9.002440e-03
     [4,] 0.27272727 0.00000000 0.00000000  2.867361e-03 -2.866219e-03
     [5,] 0.36363636 0.00000000 0.00000000  8.036624e-03 -2.911962e-03
     [6,] 0.45454545 0.00000000 0.00000000 -6.165649e-03  7.459886e-03
     [7,] 0.54545455 0.00000000 0.00000000 -8.011420e-03  7.328162e-03
     [8,] 0.63636364 0.00000000 0.00000000  6.888202e-04  8.131205e-03
     [9,] 0.72727273 0.00000000 0.00000000 -2.941987e-03  1.259575e-03
    [10,] 0.81818182 0.00000000 0.00000000 -1.179038e-03  9.251623e-03
    [11,] 0.90909091 0.00000000 0.00000000  1.225038e-03  7.426411e-03
    [12,] 1.00000000 0.00000000 0.00000000  1.839802e-03 -2.785255e-03
    [13,] 0.00000000 0.09090909 0.00000000  8.745087e-03  5.421727e-03
    [14,] 0.09090909 0.09090909 0.00000000  6.555077e-03  3.819043e-03
    [15,] 0.18181818 0.09090909 0.00000000 -3.039685e-03  6.666528e-03
    [16,] 0.27272727 0.09090909 0.00000000 -1.968097e-03  4.701778e-03
    [17,] 0.36363636 0.09090909 0.00000000  3.576873e-03 -6.310753e-03
    [18,] 0.45454545 0.09090909 0.00000000  6.256678e-04 -4.448198e-03
    [19,] 0.54545455 0.09090909 0.00000000 -9.971103e-03 -9.307321e-03
    [20,] 0.63636364 0.09090909 0.00000000 -8.510168e-03 -6.461049e-03
    [21,] 0.72727273 0.09090909 0.00000000 -2.827139e-03 -3.320958e-03
    [22,] 0.81818182 0.09090909 0.00000000 -7.983867e-03 -5.806853e-04
    [23,] 0.90909091 0.09090909 0.00000000  1.737718e-04 -6.768188e-03
    [24,] 1.00000000 0.09090909 0.00000000  9.383594e-03 -7.933360e-03
    [25,] 0.00000000 0.18181818 0.00000000 -2.003639e-03 -4.628290e-03
    [26,] 0.09090909 0.18181818 0.00000000 -8.235351e-03  1.723719e-05
    [27,] 0.18181818 0.18181818 0.00000000  5.767927e-04  8.059760e-03
    [28,] 0.27272727 0.18181818 0.00000000  8.676813e-03 -9.961998e-03
    [29,] 0.36363636 0.18181818 0.00000000  3.896825e-03 -3.544780e-03
    [30,] 0.45454545 0.18181818 0.00000000 -3.147099e-03  8.440027e-05
    [31,] 0.54545455 0.18181818 0.00000000 -2.961373e-03 -8.380443e-04
    [32,] 0.63636364 0.18181818 0.00000000  6.988682e-03 -6.405191e-03
    [33,] 0.72727273 0.18181818 0.00000000  2.446833e-03  6.516927e-03
    [34,] 0.81818182 0.18181818 0.00000000  8.064468e-03  5.004854e-03
    [35,] 0.90909091 0.18181818 0.00000000 -2.668493e-03 -4.456271e-03
    [36,] 1.00000000 0.18181818 0.00000000  9.748668e-03 -4.938625e-03
    [37,] 0.00000000 0.27272727 0.00000000 -3.166965e-03  4.893097e-03
    [38,] 0.09090909 0.27272727 0.00000000  5.797137e-03 -8.180000e-03
    [39,] 0.18181818 0.27272727 0.00000000 -6.729819e-03  5.007976e-03
    [40,] 0.27272727 0.27272727 0.00000000  6.948692e-03 -7.134562e-04
    [41,] 0.36363636 0.27272727 0.00000000 -8.189429e-03  9.989207e-03
    [42,] 0.45454545 0.27272727 0.00000000  5.131980e-03 -6.902568e-04
    [43,] 0.54545455 0.27272727 0.00000000  6.812454e-03  5.137314e-03
    [44,] 0.63636364 0.27272727 0.00000000 -3.855060e-04 -3.331670e-03
    [45,] 0.72727273 0.27272727 0.00000000  1.202031e-03  1.556938e-04
    [46,] 0.81818182 0.27272727 0.00000000  1.031531e-03 -9.600339e-04
    [47,] 0.90909091 0.27272727 0.00000000  8.157024e-03  2.535382e-03
    [48,] 1.00000000 0.27272727 0.00000000 -1.718097e-03 -4.326004e-03
    [49,] 0.00000000 0.36363636 0.00000000 -2.718980e-03  8.443764e-03
    [50,] 0.09090909 0.36363636 0.00000000 -1.638941e-03 -1.277512e-03
    [51,] 0.18181818 0.36363636 0.00000000 -2.902901e-03  5.511081e-03
    [52,] 0.27272727 0.36363636 0.00000000 -8.522091e-03  3.674864e-03
    [53,] 0.36363636 0.36363636 0.00000000 -8.789316e-04 -4.785298e-03
    [54,] 0.45454545 0.36363636 0.00000000  6.280160e-03 -7.029393e-04
    [55,] 0.54545455 0.36363636 0.00000000 -1.079386e-03 -6.238216e-03
    [56,] 0.63636364 0.36363636 0.00000000 -8.364354e-03  1.108086e-03
    [57,] 0.72727273 0.36363636 0.00000000  6.203320e-03 -3.236950e-03
    [58,] 0.81818182 0.36363636 0.00000000 -7.675245e-03 -1.891267e-03
    [59,] 0.90909091 0.36363636 0.00000000 -7.903686e-03 -9.915529e-03
    [60,] 1.00000000 0.36363636 0.00000000 -9.771334e-03 -1.269518e-03
    [61,] 0.00000000 0.45454545 0.00000000  1.551525e-03  1.362679e-03
    [62,] 0.09090909 0.45454545 0.00000000  7.072805e-03  4.340921e-03
    [63,] 0.18181818 0.45454545 0.00000000  6.294653e-03  2.027933e-03
    [64,] 0.27272727 0.45454545 0.00000000  6.929461e-03  1.230003e-03
    [65,] 0.36363636 0.45454545 0.00000000 -2.831100e-03 -3.161999e-03
    [66,] 0.45454545 0.45454545 0.00000000 -2.649885e-03  7.039033e-04
    [67,] 0.54545455 0.45454545 0.00000000 -4.958013e-03  2.844952e-03
    [68,] 0.63636364 0.45454545 0.00000000 -8.854278e-03  8.967116e-04
    [69,] 0.72727273 0.45454545 0.00000000 -2.135294e-03  6.446204e-03
    [70,] 0.81818182 0.45454545 0.00000000  8.770339e-03 -8.459764e-03
    [71,] 0.90909091 0.45454545 0.00000000  3.288736e-03 -4.875961e-03
    [72,] 1.00000000 0.45454545 0.00000000 -4.301946e-03  7.542220e-03
    [73,] 0.00000000 0.54545455 0.00000000  1.716214e-03  4.929327e-03
    [74,] 0.09090909 0.54545455 0.00000000 -5.049159e-03 -5.734380e-03
    [75,] 0.18181818 0.54545455 0.00000000 -6.828386e-03 -1.807518e-03
    [76,] 0.27272727 0.54545455 0.00000000 -8.071567e-03  6.202702e-03
    [77,] 0.36363636 0.54545455 0.00000000 -4.154307e-03 -2.778889e-03
    [78,] 0.45454545 0.54545455 0.00000000  8.071286e-03  9.874226e-03
    [79,] 0.54545455 0.54545455 0.00000000  6.193354e-03  5.233020e-03
    [80,] 0.63636364 0.54545455 0.00000000  5.831866e-03 -3.171882e-03
    [81,] 0.72727273 0.54545455 0.00000000  4.718525e-03 -7.069478e-03
    [82,] 0.81818182 0.54545455 0.00000000  7.770217e-03  9.788304e-03
    [83,] 0.90909091 0.54545455 0.00000000  7.886724e-03 -3.823116e-03
    [84,] 1.00000000 0.54545455 0.00000000 -4.969361e-03  8.060303e-03
    [85,] 0.00000000 0.63636364 0.00000000 -9.433733e-03 -9.193862e-03
    [86,] 0.09090909 0.63636364 0.00000000 -7.127383e-03  8.764185e-03
    [87,] 0.18181818 0.63636364 0.00000000 -7.949668e-03 -5.112082e-03
    [88,] 0.27272727 0.63636364 0.00000000  6.463802e-03  3.641166e-03
    [89,] 0.36363636 0.63636364 0.00000000  7.948379e-03 -6.627908e-03
    [90,] 0.45454545 0.63636364 0.00000000 -2.833229e-03 -5.032779e-03
    [91,] 0.54545455 0.63636364 0.00000000 -5.804955e-03 -2.422864e-03
    [92,] 0.63636364 0.63636364 0.00000000 -5.169622e-04  2.716772e-03
    [93,] 0.72727273 0.63636364 0.00000000  1.410634e-03  1.289683e-03
    [94,] 0.81818182 0.63636364 0.00000000  7.895493e-04 -5.980759e-03
    [95,] 0.90909091 0.63636364 0.00000000 -7.280306e-03  4.260543e-03
    [96,] 1.00000000 0.63636364 0.00000000  6.290187e-03 -8.953455e-03
    [97,] 0.00000000 0.72727273 0.00000000 -2.585488e-03  8.084754e-03
    [98,] 0.09090909 0.72727273 0.00000000  3.116154e-03 -6.553089e-04
    [99,] 0.18181818 0.72727273 0.00000000 -5.197285e-03 -3.019085e-03
   [100,] 0.27272727 0.72727273 0.00000000  7.733727e-03  6.295110e-03
   [101,] 0.36363636 0.72727273 0.00000000 -9.882231e-03  4.538513e-03
   [102,] 0.45454545 0.72727273 0.00000000 -1.908421e-03 -2.830505e-03
   [103,] 0.54545455 0.72727273 0.00000000 -1.908479e-03  2.238200e-05
   [104,] 0.63636364 0.72727273 0.00000000 -1.132963e-03 -4.086983e-03
   [105,] 0.72727273 0.72727273 0.00000000 -7.232830e-03 -9.776966e-03
   [106,] 0.81818182 0.72727273 0.00000000 -2.758769e-03 -4.291739e-03
   [107,] 0.90909091 0.72727273 0.00000000  4.553525e-03 -3.065229e-03
   [108,] 1.00000000 0.72727273 0.00000000  9.725048e-03 -3.912031e-03
   [109,] 0.00000000 0.81818182 0.00000000 -7.495971e-03  4.154205e-03
   [110,] 0.09090909 0.81818182 0.00000000 -1.202918e-03  5.797433e-03
   [111,] 0.18181818 0.81818182 0.00000000  2.447500e-03  8.597864e-03
   [112,] 0.27272727 0.81818182 0.00000000 -3.026401e-03 -8.573975e-03
   [113,] 0.36363636 0.81818182 0.00000000 -1.394902e-03  1.954309e-04
   [114,] 0.45454545 0.81818182 0.00000000  2.396136e-03 -3.901417e-03
   [115,] 0.54545455 0.81818182 0.00000000  8.503313e-03  1.870572e-03
   [116,] 0.63636364 0.81818182 0.00000000 -3.977120e-03  8.616173e-03
   [117,] 0.72727273 0.81818182 0.00000000  6.830826e-03  9.354180e-03
   [118,] 0.81818182 0.81818182 0.00000000  2.780382e-03  6.952329e-03
   [119,] 0.90909091 0.81818182 0.00000000  8.744064e-04 -1.746174e-03
   [120,] 1.00000000 0.81818182 0.00000000 -7.252224e-03  9.008143e-03
   [121,] 0.00000000 0.90909091 0.00000000 -1.828240e-03 -1.356061e-03
   [122,] 0.09090909 0.90909091 0.00000000  7.502448e-03 -5.765045e-03
   [123,] 0.18181818 0.90909091 0.00000000 -4.108727e-03  7.633204e-04
   [124,] 0.27272727 0.90909091 0.00000000  1.934096e-03 -9.722112e-03
   [125,] 0.36363636 0.90909091 0.00000000 -1.484930e-03 -4.320201e-04
   [126,] 0.45454545 0.90909091 0.00000000 -7.904536e-03  1.387228e-03
   [127,] 0.54545455 0.90909091 0.00000000  2.803204e-03  4.546905e-03
   [128,] 0.63636364 0.90909091 0.00000000  2.699075e-05 -4.086098e-03
   [129,] 0.72727273 0.90909091 0.00000000  7.918596e-03  1.736256e-03
   [130,] 0.81818182 0.90909091 0.00000000 -8.436244e-03  3.525322e-03
   [131,] 0.90909091 0.90909091 0.00000000 -3.841216e-03  8.931835e-03
   [132,] 1.00000000 0.90909091 0.00000000  6.599277e-03 -2.330168e-03
   [133,] 0.00000000 1.00000000 0.00000000 -8.836028e-03 -7.303112e-03
   [134,] 0.09090909 1.00000000 0.00000000  7.185206e-03  8.214986e-03
   [135,] 0.18181818 1.00000000 0.00000000 -4.310124e-03 -6.978052e-05
   [136,] 0.27272727 1.00000000 0.00000000 -4.622817e-03  1.669922e-03
   [137,] 0.36363636 1.00000000 0.00000000 -5.809397e-03 -1.855650e-03
   [138,] 0.45454545 1.00000000 0.00000000  6.931980e-03 -8.520004e-03
   [139,] 0.54545455 1.00000000 0.00000000 -4.908143e-03 -5.100815e-03
   [140,] 0.63636364 1.00000000 0.00000000  8.764649e-03 -3.456176e-05
   [141,] 0.72727273 1.00000000 0.00000000  3.807404e-03 -5.793903e-04
   [142,] 0.81818182 1.00000000 0.00000000 -3.146600e-03 -9.868424e-03
   [143,] 0.90909091 1.00000000 0.00000000  2.722901e-03 -1.758524e-03
   [144,] 1.00000000 1.00000000 0.00000000 -4.236341e-03 -6.469695e-03
   [145,] 0.00000000 0.00000000 0.09090909 -5.930592e-03 -7.778733e-03
   [146,] 0.09090909 0.00000000 0.09090909 -7.717957e-03 -3.228411e-03
   [147,] 0.18181818 0.00000000 0.09090909 -2.287048e-03 -8.102733e-03
   [148,] 0.27272727 0.00000000 0.09090909  7.893594e-03 -6.802622e-03
   [149,] 0.36363636 0.00000000 0.09090909 -7.580571e-03 -3.298732e-03
   [150,] 0.45454545 0.00000000 0.09090909  1.732173e-03  8.849527e-03
   [151,] 0.54545455 0.00000000 0.09090909  7.956651e-03  5.548212e-03
   [152,] 0.63636364 0.00000000 0.09090909 -7.793690e-03  7.458924e-03
   [153,] 0.72727273 0.00000000 0.09090909 -2.156789e-03 -5.852982e-03
   [154,] 0.81818182 0.00000000 0.09090909  4.598033e-03 -8.378869e-03
   [155,] 0.90909091 0.00000000 0.09090909 -6.403200e-04 -3.535548e-03
   [156,] 1.00000000 0.00000000 0.09090909 -3.778334e-03  3.581210e-03
   [157,] 0.00000000 0.09090909 0.09090909 -8.123461e-03  2.127145e-04
   [158,] 0.09090909 0.09090909 0.09090909  4.365574e-03  3.907957e-03
   [159,] 0.18181818 0.09090909 0.09090909 -3.578512e-03  1.210487e-03
   [160,] 0.27272727 0.09090909 0.09090909  8.379409e-03  4.016883e-03
   [161,] 0.36363636 0.09090909 0.09090909 -5.790402e-03  1.277035e-03
   [162,] 0.45454545 0.09090909 0.09090909  3.646167e-03  9.579999e-03
   [163,] 0.54545455 0.09090909 0.09090909  8.413463e-03 -2.227314e-03
   [164,] 0.63636364 0.09090909 0.09090909 -4.308330e-03 -7.271333e-03
   [165,] 0.72727273 0.09090909 0.09090909 -6.575937e-04 -5.084751e-03
   [166,] 0.81818182 0.09090909 0.09090909  2.723460e-03 -4.429561e-03
   [167,] 0.90909091 0.09090909 0.09090909 -2.572123e-03 -1.661987e-03
   [168,] 1.00000000 0.09090909 0.09090909  8.137307e-03 -5.396547e-03
   [169,] 0.00000000 0.18181818 0.09090909 -1.131358e-03  3.782149e-03
   [170,] 0.09090909 0.18181818 0.09090909  4.136042e-03  7.301706e-03
   [171,] 0.18181818 0.18181818 0.09090909  5.872791e-03  7.878061e-03
   [172,] 0.27272727 0.18181818 0.09090909  1.989274e-03 -7.002534e-03
   [173,] 0.36363636 0.18181818 0.09090909  4.335368e-03  8.007125e-03
   [174,] 0.45454545 0.18181818 0.09090909  2.534346e-03 -4.678686e-03
   [175,] 0.54545455 0.18181818 0.09090909  2.758228e-03 -6.263430e-03
   [176,] 0.63636364 0.18181818 0.09090909 -4.031213e-03  7.686993e-03
   [177,] 0.72727273 0.18181818 0.09090909 -9.489326e-03  7.701355e-04
   [178,] 0.81818182 0.18181818 0.09090909  6.893556e-04 -6.015660e-03
   [179,] 0.90909091 0.18181818 0.09090909 -9.026438e-03 -1.601373e-03
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   [809,] 0.36363636 0.63636364 0.45454545 -4.798042e-03  1.711841e-05
   [810,] 0.45454545 0.63636364 0.45454545  9.752597e-03  4.102459e-04
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  [1580,] 0.63636364 1.00000000 0.90909091 -8.815224e-03  8.335216e-03
  [1581,] 0.72727273 1.00000000 0.90909091 -5.044006e-03 -2.265286e-03
  [1582,] 0.81818182 1.00000000 0.90909091  6.403191e-04  5.180697e-03
  [1583,] 0.90909091 1.00000000 0.90909091 -6.688153e-03  1.313714e-03
  [1584,] 1.00000000 1.00000000 0.90909091 -2.018944e-03 -8.714355e-03
  [1585,] 0.00000000 0.00000000 1.00000000  6.104885e-03 -1.413538e-03
  [1586,] 0.09090909 0.00000000 1.00000000 -2.321193e-03  2.602344e-03
  [1587,] 0.18181818 0.00000000 1.00000000  7.584225e-03 -9.842067e-03
  [1588,] 0.27272727 0.00000000 1.00000000 -6.316232e-03  8.483869e-03
  [1589,] 0.36363636 0.00000000 1.00000000  2.889475e-07 -1.603122e-03
  [1590,] 0.45454545 0.00000000 1.00000000  9.561405e-03  4.959655e-03
  [1591,] 0.54545455 0.00000000 1.00000000 -3.573121e-03 -9.887722e-03
  [1592,] 0.63636364 0.00000000 1.00000000  1.657902e-03 -6.200351e-04
  [1593,] 0.72727273 0.00000000 1.00000000 -8.284473e-04  7.696748e-03
  [1594,] 0.81818182 0.00000000 1.00000000 -5.756071e-03 -2.678921e-03
  [1595,] 0.90909091 0.00000000 1.00000000 -9.356224e-03 -8.886881e-03
  [1596,] 1.00000000 0.00000000 1.00000000 -1.449756e-03 -8.241763e-03
  [1597,] 0.00000000 0.09090909 1.00000000 -4.774053e-03  9.653803e-03
  [1598,] 0.09090909 0.09090909 1.00000000 -5.576625e-03  5.774612e-03
  [1599,] 0.18181818 0.09090909 1.00000000  4.711577e-03  9.477345e-03
  [1600,] 0.27272727 0.09090909 1.00000000  1.814793e-03 -6.371466e-03
  [1601,] 0.36363636 0.09090909 1.00000000  2.771913e-03 -2.543030e-03
  [1602,] 0.45454545 0.09090909 1.00000000  9.133286e-03  6.217493e-03
  [1603,] 0.54545455 0.09090909 1.00000000  2.435664e-03 -8.314024e-03
  [1604,] 0.63636364 0.09090909 1.00000000 -4.273178e-03  9.206720e-04
  [1605,] 0.72727273 0.09090909 1.00000000 -8.201059e-04  2.201468e-03
  [1606,] 0.81818182 0.09090909 1.00000000 -6.726725e-03 -8.412112e-04
  [1607,] 0.90909091 0.09090909 1.00000000  2.059461e-04  2.950300e-03
  [1608,] 1.00000000 0.09090909 1.00000000  1.528113e-03  9.217839e-03
  [1609,] 0.00000000 0.18181818 1.00000000  4.444573e-03 -1.188735e-03
  [1610,] 0.09090909 0.18181818 1.00000000  1.190156e-03  7.939435e-03
  [1611,] 0.18181818 0.18181818 1.00000000  6.645194e-03  4.867917e-03
  [1612,] 0.27272727 0.18181818 1.00000000 -5.155482e-03 -5.506128e-03
  [1613,] 0.36363636 0.18181818 1.00000000 -9.627298e-04 -6.243836e-03
  [1614,] 0.45454545 0.18181818 1.00000000 -3.620473e-03 -1.546055e-03
  [1615,] 0.54545455 0.18181818 1.00000000  7.805396e-03  1.810432e-03
  [1616,] 0.63636364 0.18181818 1.00000000  2.872391e-03 -2.599188e-03
  [1617,] 0.72727273 0.18181818 1.00000000  5.179339e-03  1.067395e-03
  [1618,] 0.81818182 0.18181818 1.00000000  7.983316e-03  1.379886e-04
  [1619,] 0.90909091 0.18181818 1.00000000  6.948620e-03  8.670693e-03
  [1620,] 1.00000000 0.18181818 1.00000000  4.357475e-03  4.665708e-04
  [1621,] 0.00000000 0.27272727 1.00000000  2.782787e-03 -2.617568e-03
  [1622,] 0.09090909 0.27272727 1.00000000 -3.245281e-03  2.982378e-03
  [1623,] 0.18181818 0.27272727 1.00000000 -8.431883e-03  2.573354e-03
  [1624,] 0.27272727 0.27272727 1.00000000 -3.089068e-03  8.604834e-03
  [1625,] 0.36363636 0.27272727 1.00000000 -8.581568e-03 -2.863751e-03
  [1626,] 0.45454545 0.27272727 1.00000000 -8.024913e-04  8.925753e-04
  [1627,] 0.54545455 0.27272727 1.00000000 -2.414034e-03 -4.875963e-03
  [1628,] 0.63636364 0.27272727 1.00000000  4.784999e-03 -4.124806e-03
  [1629,] 0.72727273 0.27272727 1.00000000 -6.674164e-03 -8.697546e-04
  [1630,] 0.81818182 0.27272727 1.00000000 -2.901029e-03  6.274546e-03
  [1631,] 0.90909091 0.27272727 1.00000000 -8.555052e-03 -8.471369e-03
  [1632,] 1.00000000 0.27272727 1.00000000 -5.914284e-03  2.109654e-04
  [1633,] 0.00000000 0.36363636 1.00000000  3.729403e-03  1.299353e-04
  [1634,] 0.09090909 0.36363636 1.00000000  1.173164e-03  4.991812e-04
  [1635,] 0.18181818 0.36363636 1.00000000 -1.818492e-03  1.597107e-03
  [1636,] 0.27272727 0.36363636 1.00000000 -2.928133e-03 -2.462527e-03
  [1637,] 0.36363636 0.36363636 1.00000000  1.311911e-04  8.522693e-04
  [1638,] 0.45454545 0.36363636 1.00000000  1.824795e-04  8.280233e-03
  [1639,] 0.54545455 0.36363636 1.00000000  3.976408e-03 -1.257185e-04
  [1640,] 0.63636364 0.36363636 1.00000000  4.634903e-03  5.086198e-04
  [1641,] 0.72727273 0.36363636 1.00000000  3.873971e-03 -8.539769e-03
  [1642,] 0.81818182 0.36363636 1.00000000  2.042103e-03 -8.432307e-03
  [1643,] 0.90909091 0.36363636 1.00000000 -4.443782e-03  2.646365e-03
  [1644,] 1.00000000 0.36363636 1.00000000 -3.106501e-03 -9.333927e-03
  [1645,] 0.00000000 0.45454545 1.00000000  5.969514e-03 -7.625488e-03
  [1646,] 0.09090909 0.45454545 1.00000000  6.822768e-04  2.649410e-03
  [1647,] 0.18181818 0.45454545 1.00000000  1.702835e-03 -4.249591e-04
  [1648,] 0.27272727 0.45454545 1.00000000  4.805151e-03 -9.066235e-03
  [1649,] 0.36363636 0.45454545 1.00000000 -2.758698e-03  4.279720e-03
  [1650,] 0.45454545 0.45454545 1.00000000 -3.135789e-03  4.875665e-03
  [1651,] 0.54545455 0.45454545 1.00000000 -7.607304e-03  8.874256e-04
  [1652,] 0.63636364 0.45454545 1.00000000  3.253354e-03  8.762683e-04
  [1653,] 0.72727273 0.45454545 1.00000000 -5.826511e-03  3.613380e-03
  [1654,] 0.81818182 0.45454545 1.00000000 -6.233085e-03 -4.133798e-03
  [1655,] 0.90909091 0.45454545 1.00000000  9.074114e-04 -5.127050e-03
  [1656,] 1.00000000 0.45454545 1.00000000 -5.506149e-03  4.242383e-03
  [1657,] 0.00000000 0.54545455 1.00000000 -5.956223e-03 -1.944740e-03
  [1658,] 0.09090909 0.54545455 1.00000000  6.779641e-03 -6.271885e-03
  [1659,] 0.18181818 0.54545455 1.00000000 -7.225592e-03  2.188998e-03
  [1660,] 0.27272727 0.54545455 1.00000000 -1.140536e-03 -6.695109e-04
  [1661,] 0.36363636 0.54545455 1.00000000 -3.673408e-03  7.724930e-03
  [1662,] 0.45454545 0.54545455 1.00000000 -9.096824e-03 -8.937437e-03
  [1663,] 0.54545455 0.54545455 1.00000000 -9.877305e-03  8.042793e-03
  [1664,] 0.63636364 0.54545455 1.00000000  1.353424e-03 -2.543047e-03
  [1665,] 0.72727273 0.54545455 1.00000000  9.151178e-03 -8.281311e-03
  [1666,] 0.81818182 0.54545455 1.00000000  6.052484e-03  6.056614e-03
  [1667,] 0.90909091 0.54545455 1.00000000 -4.406545e-03 -7.458168e-03
  [1668,] 1.00000000 0.54545455 1.00000000 -5.144215e-03  5.546472e-03
  [1669,] 0.00000000 0.63636364 1.00000000 -3.473737e-03  8.634533e-03
  [1670,] 0.09090909 0.63636364 1.00000000 -1.650987e-03 -5.039590e-03
  [1671,] 0.18181818 0.63636364 1.00000000 -5.256711e-04  5.749846e-03
  [1672,] 0.27272727 0.63636364 1.00000000  2.104814e-03  1.323998e-03
  [1673,] 0.36363636 0.63636364 1.00000000 -9.312075e-03 -9.666541e-03
  [1674,] 0.45454545 0.63636364 1.00000000  5.493203e-03  7.152049e-03
  [1675,] 0.54545455 0.63636364 1.00000000 -6.610695e-03 -4.744296e-03
  [1676,] 0.63636364 0.63636364 1.00000000  4.116141e-03 -9.262513e-03
  [1677,] 0.72727273 0.63636364 1.00000000 -4.487776e-03 -5.978624e-03
  [1678,] 0.81818182 0.63636364 1.00000000  8.415479e-03 -9.971959e-03
  [1679,] 0.90909091 0.63636364 1.00000000 -2.784945e-03  9.969195e-03
  [1680,] 1.00000000 0.63636364 1.00000000 -4.283962e-03 -9.383352e-03
  [1681,] 0.00000000 0.72727273 1.00000000 -1.404238e-03 -4.596370e-03
  [1682,] 0.09090909 0.72727273 1.00000000  9.196774e-03  5.663406e-03
  [1683,] 0.18181818 0.72727273 1.00000000 -2.757855e-03 -5.134904e-03
  [1684,] 0.27272727 0.72727273 1.00000000  3.938986e-03 -6.847528e-03
  [1685,] 0.36363636 0.72727273 1.00000000  6.966994e-03 -9.045184e-03
  [1686,] 0.45454545 0.72727273 1.00000000  5.814768e-03  7.696430e-03
  [1687,] 0.54545455 0.72727273 1.00000000  2.742251e-03 -1.522068e-03
  [1688,] 0.63636364 0.72727273 1.00000000 -4.026530e-03  7.395455e-03
  [1689,] 0.72727273 0.72727273 1.00000000 -6.168054e-03 -6.280896e-03
  [1690,] 0.81818182 0.72727273 1.00000000 -7.736905e-03  3.946389e-03
  [1691,] 0.90909091 0.72727273 1.00000000  3.452651e-04 -8.295309e-03
  [1692,] 1.00000000 0.72727273 1.00000000  6.032109e-03 -9.557919e-03
  [1693,] 0.00000000 0.81818182 1.00000000  7.895923e-03 -9.181371e-03
  [1694,] 0.09090909 0.81818182 1.00000000  5.224800e-03 -3.712648e-03
  [1695,] 0.18181818 0.81818182 1.00000000  7.660326e-03 -6.911674e-03
  [1696,] 0.27272727 0.81818182 1.00000000  8.060702e-03  7.537608e-03
  [1697,] 0.36363636 0.81818182 1.00000000 -6.150429e-03 -3.662043e-03
  [1698,] 0.45454545 0.81818182 1.00000000  5.651128e-03 -9.292303e-03
  [1699,] 0.54545455 0.81818182 1.00000000  7.374462e-04 -6.164989e-03
  [1700,] 0.63636364 0.81818182 1.00000000  1.187464e-03  9.544814e-03
  [1701,] 0.72727273 0.81818182 1.00000000 -7.782446e-03 -8.556072e-03
  [1702,] 0.81818182 0.81818182 1.00000000 -9.830652e-03  6.055710e-03
  [1703,] 0.90909091 0.81818182 1.00000000  2.298624e-03  9.335329e-03
  [1704,] 1.00000000 0.81818182 1.00000000 -3.416932e-03 -8.424729e-03
  [1705,] 0.00000000 0.90909091 1.00000000  4.291821e-04  4.648450e-03
  [1706,] 0.09090909 0.90909091 1.00000000 -4.448861e-03  1.304070e-03
  [1707,] 0.18181818 0.90909091 1.00000000 -7.495962e-03 -5.454505e-03
  [1708,] 0.27272727 0.90909091 1.00000000 -5.873161e-03  4.939192e-03
  [1709,] 0.36363636 0.90909091 1.00000000 -4.904083e-03  5.463492e-03
  [1710,] 0.45454545 0.90909091 1.00000000 -3.723501e-03  5.917703e-03
  [1711,] 0.54545455 0.90909091 1.00000000  6.454152e-03  9.534715e-03
  [1712,] 0.63636364 0.90909091 1.00000000  3.396292e-03 -3.441850e-03
  [1713,] 0.72727273 0.90909091 1.00000000  8.105398e-03  4.973455e-03
  [1714,] 0.81818182 0.90909091 1.00000000 -1.859781e-03 -6.054568e-03
  [1715,] 0.90909091 0.90909091 1.00000000 -3.102750e-04  8.857937e-03
  [1716,] 1.00000000 0.90909091 1.00000000 -2.198128e-03 -8.725928e-03
  [1717,] 0.00000000 1.00000000 1.00000000  8.285061e-03  5.819579e-03
  [1718,] 0.09090909 1.00000000 1.00000000 -4.893654e-03  9.796202e-03
  [1719,] 0.18181818 1.00000000 1.00000000 -9.517211e-03 -9.447374e-03
  [1720,] 0.27272727 1.00000000 1.00000000 -9.302805e-05  1.474461e-04
  [1721,] 0.36363636 1.00000000 1.00000000 -9.492665e-03  3.242945e-03
  [1722,] 0.45454545 1.00000000 1.00000000  6.081180e-03  1.397690e-03
  [1723,] 0.54545455 1.00000000 1.00000000 -9.436660e-03 -2.539156e-03
  [1724,] 0.63636364 1.00000000 1.00000000  2.989624e-03 -4.150173e-03
  [1725,] 0.72727273 1.00000000 1.00000000 -8.443475e-04  7.936131e-03
  [1726,] 0.81818182 1.00000000 1.00000000  7.462067e-03 -2.298748e-03
  [1727,] 0.90909091 1.00000000 1.00000000 -8.667500e-03  5.050174e-03
  [1728,] 1.00000000 1.00000000 1.00000000 -1.135952e-03  7.939331e-03

  $n
  [1] 1728
Code
  cube_3d(num_dims = 3, num_noise = 0)
Output
  $df
                Var1       Var2       Var3
     [1,] 0.00000000 0.00000000 0.00000000
     [2,] 0.09090909 0.00000000 0.00000000
     [3,] 0.18181818 0.00000000 0.00000000
     [4,] 0.27272727 0.00000000 0.00000000
     [5,] 0.36363636 0.00000000 0.00000000
     [6,] 0.45454545 0.00000000 0.00000000
     [7,] 0.54545455 0.00000000 0.00000000
     [8,] 0.63636364 0.00000000 0.00000000
     [9,] 0.72727273 0.00000000 0.00000000
    [10,] 0.81818182 0.00000000 0.00000000
    [11,] 0.90909091 0.00000000 0.00000000
    [12,] 1.00000000 0.00000000 0.00000000
    [13,] 0.00000000 0.09090909 0.00000000
    [14,] 0.09090909 0.09090909 0.00000000
    [15,] 0.18181818 0.09090909 0.00000000
    [16,] 0.27272727 0.09090909 0.00000000
    [17,] 0.36363636 0.09090909 0.00000000
    [18,] 0.45454545 0.09090909 0.00000000
    [19,] 0.54545455 0.09090909 0.00000000
    [20,] 0.63636364 0.09090909 0.00000000
    [21,] 0.72727273 0.09090909 0.00000000
    [22,] 0.81818182 0.09090909 0.00000000
    [23,] 0.90909091 0.09090909 0.00000000
    [24,] 1.00000000 0.09090909 0.00000000
    [25,] 0.00000000 0.18181818 0.00000000
    [26,] 0.09090909 0.18181818 0.00000000
    [27,] 0.18181818 0.18181818 0.00000000
    [28,] 0.27272727 0.18181818 0.00000000
    [29,] 0.36363636 0.18181818 0.00000000
    [30,] 0.45454545 0.18181818 0.00000000
    [31,] 0.54545455 0.18181818 0.00000000
    [32,] 0.63636364 0.18181818 0.00000000
    [33,] 0.72727273 0.18181818 0.00000000
    [34,] 0.81818182 0.18181818 0.00000000
    [35,] 0.90909091 0.18181818 0.00000000
    [36,] 1.00000000 0.18181818 0.00000000
    [37,] 0.00000000 0.27272727 0.00000000
    [38,] 0.09090909 0.27272727 0.00000000
    [39,] 0.18181818 0.27272727 0.00000000
    [40,] 0.27272727 0.27272727 0.00000000
    [41,] 0.36363636 0.27272727 0.00000000
    [42,] 0.45454545 0.27272727 0.00000000
    [43,] 0.54545455 0.27272727 0.00000000
    [44,] 0.63636364 0.27272727 0.00000000
    [45,] 0.72727273 0.27272727 0.00000000
    [46,] 0.81818182 0.27272727 0.00000000
    [47,] 0.90909091 0.27272727 0.00000000
    [48,] 1.00000000 0.27272727 0.00000000
    [49,] 0.00000000 0.36363636 0.00000000
    [50,] 0.09090909 0.36363636 0.00000000
    [51,] 0.18181818 0.36363636 0.00000000
    [52,] 0.27272727 0.36363636 0.00000000
    [53,] 0.36363636 0.36363636 0.00000000
    [54,] 0.45454545 0.36363636 0.00000000
    [55,] 0.54545455 0.36363636 0.00000000
    [56,] 0.63636364 0.36363636 0.00000000
    [57,] 0.72727273 0.36363636 0.00000000
    [58,] 0.81818182 0.36363636 0.00000000
    [59,] 0.90909091 0.36363636 0.00000000
    [60,] 1.00000000 0.36363636 0.00000000
    [61,] 0.00000000 0.45454545 0.00000000
    [62,] 0.09090909 0.45454545 0.00000000
    [63,] 0.18181818 0.45454545 0.00000000
    [64,] 0.27272727 0.45454545 0.00000000
    [65,] 0.36363636 0.45454545 0.00000000
    [66,] 0.45454545 0.45454545 0.00000000
    [67,] 0.54545455 0.45454545 0.00000000
    [68,] 0.63636364 0.45454545 0.00000000
    [69,] 0.72727273 0.45454545 0.00000000
    [70,] 0.81818182 0.45454545 0.00000000
    [71,] 0.90909091 0.45454545 0.00000000
    [72,] 1.00000000 0.45454545 0.00000000
    [73,] 0.00000000 0.54545455 0.00000000
    [74,] 0.09090909 0.54545455 0.00000000
    [75,] 0.18181818 0.54545455 0.00000000
    [76,] 0.27272727 0.54545455 0.00000000
    [77,] 0.36363636 0.54545455 0.00000000
    [78,] 0.45454545 0.54545455 0.00000000
    [79,] 0.54545455 0.54545455 0.00000000
    [80,] 0.63636364 0.54545455 0.00000000
    [81,] 0.72727273 0.54545455 0.00000000
    [82,] 0.81818182 0.54545455 0.00000000
    [83,] 0.90909091 0.54545455 0.00000000
    [84,] 1.00000000 0.54545455 0.00000000
    [85,] 0.00000000 0.63636364 0.00000000
    [86,] 0.09090909 0.63636364 0.00000000
    [87,] 0.18181818 0.63636364 0.00000000
    [88,] 0.27272727 0.63636364 0.00000000
    [89,] 0.36363636 0.63636364 0.00000000
    [90,] 0.45454545 0.63636364 0.00000000
    [91,] 0.54545455 0.63636364 0.00000000
    [92,] 0.63636364 0.63636364 0.00000000
    [93,] 0.72727273 0.63636364 0.00000000
    [94,] 0.81818182 0.63636364 0.00000000
    [95,] 0.90909091 0.63636364 0.00000000
    [96,] 1.00000000 0.63636364 0.00000000
    [97,] 0.00000000 0.72727273 0.00000000
    [98,] 0.09090909 0.72727273 0.00000000
    [99,] 0.18181818 0.72727273 0.00000000
   [100,] 0.27272727 0.72727273 0.00000000
   [101,] 0.36363636 0.72727273 0.00000000
   [102,] 0.45454545 0.72727273 0.00000000
   [103,] 0.54545455 0.72727273 0.00000000
   [104,] 0.63636364 0.72727273 0.00000000
   [105,] 0.72727273 0.72727273 0.00000000
   [106,] 0.81818182 0.72727273 0.00000000
   [107,] 0.90909091 0.72727273 0.00000000
   [108,] 1.00000000 0.72727273 0.00000000
   [109,] 0.00000000 0.81818182 0.00000000
   [110,] 0.09090909 0.81818182 0.00000000
   [111,] 0.18181818 0.81818182 0.00000000
   [112,] 0.27272727 0.81818182 0.00000000
   [113,] 0.36363636 0.81818182 0.00000000
   [114,] 0.45454545 0.81818182 0.00000000
   [115,] 0.54545455 0.81818182 0.00000000
   [116,] 0.63636364 0.81818182 0.00000000
   [117,] 0.72727273 0.81818182 0.00000000
   [118,] 0.81818182 0.81818182 0.00000000
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  [1529,] 0.36363636 0.63636364 0.90909091
  [1530,] 0.45454545 0.63636364 0.90909091
  [1531,] 0.54545455 0.63636364 0.90909091
  [1532,] 0.63636364 0.63636364 0.90909091
  [1533,] 0.72727273 0.63636364 0.90909091
  [1534,] 0.81818182 0.63636364 0.90909091
  [1535,] 0.90909091 0.63636364 0.90909091
  [1536,] 1.00000000 0.63636364 0.90909091
  [1537,] 0.00000000 0.72727273 0.90909091
  [1538,] 0.09090909 0.72727273 0.90909091
  [1539,] 0.18181818 0.72727273 0.90909091
  [1540,] 0.27272727 0.72727273 0.90909091
  [1541,] 0.36363636 0.72727273 0.90909091
  [1542,] 0.45454545 0.72727273 0.90909091
  [1543,] 0.54545455 0.72727273 0.90909091
  [1544,] 0.63636364 0.72727273 0.90909091
  [1545,] 0.72727273 0.72727273 0.90909091
  [1546,] 0.81818182 0.72727273 0.90909091
  [1547,] 0.90909091 0.72727273 0.90909091
  [1548,] 1.00000000 0.72727273 0.90909091
  [1549,] 0.00000000 0.81818182 0.90909091
  [1550,] 0.09090909 0.81818182 0.90909091
  [1551,] 0.18181818 0.81818182 0.90909091
  [1552,] 0.27272727 0.81818182 0.90909091
  [1553,] 0.36363636 0.81818182 0.90909091
  [1554,] 0.45454545 0.81818182 0.90909091
  [1555,] 0.54545455 0.81818182 0.90909091
  [1556,] 0.63636364 0.81818182 0.90909091
  [1557,] 0.72727273 0.81818182 0.90909091
  [1558,] 0.81818182 0.81818182 0.90909091
  [1559,] 0.90909091 0.81818182 0.90909091
  [1560,] 1.00000000 0.81818182 0.90909091
  [1561,] 0.00000000 0.90909091 0.90909091
  [1562,] 0.09090909 0.90909091 0.90909091
  [1563,] 0.18181818 0.90909091 0.90909091
  [1564,] 0.27272727 0.90909091 0.90909091
  [1565,] 0.36363636 0.90909091 0.90909091
  [1566,] 0.45454545 0.90909091 0.90909091
  [1567,] 0.54545455 0.90909091 0.90909091
  [1568,] 0.63636364 0.90909091 0.90909091
  [1569,] 0.72727273 0.90909091 0.90909091
  [1570,] 0.81818182 0.90909091 0.90909091
  [1571,] 0.90909091 0.90909091 0.90909091
  [1572,] 1.00000000 0.90909091 0.90909091
  [1573,] 0.00000000 1.00000000 0.90909091
  [1574,] 0.09090909 1.00000000 0.90909091
  [1575,] 0.18181818 1.00000000 0.90909091
  [1576,] 0.27272727 1.00000000 0.90909091
  [1577,] 0.36363636 1.00000000 0.90909091
  [1578,] 0.45454545 1.00000000 0.90909091
  [1579,] 0.54545455 1.00000000 0.90909091
  [1580,] 0.63636364 1.00000000 0.90909091
  [1581,] 0.72727273 1.00000000 0.90909091
  [1582,] 0.81818182 1.00000000 0.90909091
  [1583,] 0.90909091 1.00000000 0.90909091
  [1584,] 1.00000000 1.00000000 0.90909091
  [1585,] 0.00000000 0.00000000 1.00000000
  [1586,] 0.09090909 0.00000000 1.00000000
  [1587,] 0.18181818 0.00000000 1.00000000
  [1588,] 0.27272727 0.00000000 1.00000000
  [1589,] 0.36363636 0.00000000 1.00000000
  [1590,] 0.45454545 0.00000000 1.00000000
  [1591,] 0.54545455 0.00000000 1.00000000
  [1592,] 0.63636364 0.00000000 1.00000000
  [1593,] 0.72727273 0.00000000 1.00000000
  [1594,] 0.81818182 0.00000000 1.00000000
  [1595,] 0.90909091 0.00000000 1.00000000
  [1596,] 1.00000000 0.00000000 1.00000000
  [1597,] 0.00000000 0.09090909 1.00000000
  [1598,] 0.09090909 0.09090909 1.00000000
  [1599,] 0.18181818 0.09090909 1.00000000
  [1600,] 0.27272727 0.09090909 1.00000000
  [1601,] 0.36363636 0.09090909 1.00000000
  [1602,] 0.45454545 0.09090909 1.00000000
  [1603,] 0.54545455 0.09090909 1.00000000
  [1604,] 0.63636364 0.09090909 1.00000000
  [1605,] 0.72727273 0.09090909 1.00000000
  [1606,] 0.81818182 0.09090909 1.00000000
  [1607,] 0.90909091 0.09090909 1.00000000
  [1608,] 1.00000000 0.09090909 1.00000000
  [1609,] 0.00000000 0.18181818 1.00000000
  [1610,] 0.09090909 0.18181818 1.00000000
  [1611,] 0.18181818 0.18181818 1.00000000
  [1612,] 0.27272727 0.18181818 1.00000000
  [1613,] 0.36363636 0.18181818 1.00000000
  [1614,] 0.45454545 0.18181818 1.00000000
  [1615,] 0.54545455 0.18181818 1.00000000
  [1616,] 0.63636364 0.18181818 1.00000000
  [1617,] 0.72727273 0.18181818 1.00000000
  [1618,] 0.81818182 0.18181818 1.00000000
  [1619,] 0.90909091 0.18181818 1.00000000
  [1620,] 1.00000000 0.18181818 1.00000000
  [1621,] 0.00000000 0.27272727 1.00000000
  [1622,] 0.09090909 0.27272727 1.00000000
  [1623,] 0.18181818 0.27272727 1.00000000
  [1624,] 0.27272727 0.27272727 1.00000000
  [1625,] 0.36363636 0.27272727 1.00000000
  [1626,] 0.45454545 0.27272727 1.00000000
  [1627,] 0.54545455 0.27272727 1.00000000
  [1628,] 0.63636364 0.27272727 1.00000000
  [1629,] 0.72727273 0.27272727 1.00000000
  [1630,] 0.81818182 0.27272727 1.00000000
  [1631,] 0.90909091 0.27272727 1.00000000
  [1632,] 1.00000000 0.27272727 1.00000000
  [1633,] 0.00000000 0.36363636 1.00000000
  [1634,] 0.09090909 0.36363636 1.00000000
  [1635,] 0.18181818 0.36363636 1.00000000
  [1636,] 0.27272727 0.36363636 1.00000000
  [1637,] 0.36363636 0.36363636 1.00000000
  [1638,] 0.45454545 0.36363636 1.00000000
  [1639,] 0.54545455 0.36363636 1.00000000
  [1640,] 0.63636364 0.36363636 1.00000000
  [1641,] 0.72727273 0.36363636 1.00000000
  [1642,] 0.81818182 0.36363636 1.00000000
  [1643,] 0.90909091 0.36363636 1.00000000
  [1644,] 1.00000000 0.36363636 1.00000000
  [1645,] 0.00000000 0.45454545 1.00000000
  [1646,] 0.09090909 0.45454545 1.00000000
  [1647,] 0.18181818 0.45454545 1.00000000
  [1648,] 0.27272727 0.45454545 1.00000000
  [1649,] 0.36363636 0.45454545 1.00000000
  [1650,] 0.45454545 0.45454545 1.00000000
  [1651,] 0.54545455 0.45454545 1.00000000
  [1652,] 0.63636364 0.45454545 1.00000000
  [1653,] 0.72727273 0.45454545 1.00000000
  [1654,] 0.81818182 0.45454545 1.00000000
  [1655,] 0.90909091 0.45454545 1.00000000
  [1656,] 1.00000000 0.45454545 1.00000000
  [1657,] 0.00000000 0.54545455 1.00000000
  [1658,] 0.09090909 0.54545455 1.00000000
  [1659,] 0.18181818 0.54545455 1.00000000
  [1660,] 0.27272727 0.54545455 1.00000000
  [1661,] 0.36363636 0.54545455 1.00000000
  [1662,] 0.45454545 0.54545455 1.00000000
  [1663,] 0.54545455 0.54545455 1.00000000
  [1664,] 0.63636364 0.54545455 1.00000000
  [1665,] 0.72727273 0.54545455 1.00000000
  [1666,] 0.81818182 0.54545455 1.00000000
  [1667,] 0.90909091 0.54545455 1.00000000
  [1668,] 1.00000000 0.54545455 1.00000000
  [1669,] 0.00000000 0.63636364 1.00000000
  [1670,] 0.09090909 0.63636364 1.00000000
  [1671,] 0.18181818 0.63636364 1.00000000
  [1672,] 0.27272727 0.63636364 1.00000000
  [1673,] 0.36363636 0.63636364 1.00000000
  [1674,] 0.45454545 0.63636364 1.00000000
  [1675,] 0.54545455 0.63636364 1.00000000
  [1676,] 0.63636364 0.63636364 1.00000000
  [1677,] 0.72727273 0.63636364 1.00000000
  [1678,] 0.81818182 0.63636364 1.00000000
  [1679,] 0.90909091 0.63636364 1.00000000
  [1680,] 1.00000000 0.63636364 1.00000000
  [1681,] 0.00000000 0.72727273 1.00000000
  [1682,] 0.09090909 0.72727273 1.00000000
  [1683,] 0.18181818 0.72727273 1.00000000
  [1684,] 0.27272727 0.72727273 1.00000000
  [1685,] 0.36363636 0.72727273 1.00000000
  [1686,] 0.45454545 0.72727273 1.00000000
  [1687,] 0.54545455 0.72727273 1.00000000
  [1688,] 0.63636364 0.72727273 1.00000000
  [1689,] 0.72727273 0.72727273 1.00000000
  [1690,] 0.81818182 0.72727273 1.00000000
  [1691,] 0.90909091 0.72727273 1.00000000
  [1692,] 1.00000000 0.72727273 1.00000000
  [1693,] 0.00000000 0.81818182 1.00000000
  [1694,] 0.09090909 0.81818182 1.00000000
  [1695,] 0.18181818 0.81818182 1.00000000
  [1696,] 0.27272727 0.81818182 1.00000000
  [1697,] 0.36363636 0.81818182 1.00000000
  [1698,] 0.45454545 0.81818182 1.00000000
  [1699,] 0.54545455 0.81818182 1.00000000
  [1700,] 0.63636364 0.81818182 1.00000000
  [1701,] 0.72727273 0.81818182 1.00000000
  [1702,] 0.81818182 0.81818182 1.00000000
  [1703,] 0.90909091 0.81818182 1.00000000
  [1704,] 1.00000000 0.81818182 1.00000000
  [1705,] 0.00000000 0.90909091 1.00000000
  [1706,] 0.09090909 0.90909091 1.00000000
  [1707,] 0.18181818 0.90909091 1.00000000
  [1708,] 0.27272727 0.90909091 1.00000000
  [1709,] 0.36363636 0.90909091 1.00000000
  [1710,] 0.45454545 0.90909091 1.00000000
  [1711,] 0.54545455 0.90909091 1.00000000
  [1712,] 0.63636364 0.90909091 1.00000000
  [1713,] 0.72727273 0.90909091 1.00000000
  [1714,] 0.81818182 0.90909091 1.00000000
  [1715,] 0.90909091 0.90909091 1.00000000
  [1716,] 1.00000000 0.90909091 1.00000000
  [1717,] 0.00000000 1.00000000 1.00000000
  [1718,] 0.09090909 1.00000000 1.00000000
  [1719,] 0.18181818 1.00000000 1.00000000
  [1720,] 0.27272727 1.00000000 1.00000000
  [1721,] 0.36363636 1.00000000 1.00000000
  [1722,] 0.45454545 1.00000000 1.00000000
  [1723,] 0.54545455 1.00000000 1.00000000
  [1724,] 0.63636364 1.00000000 1.00000000
  [1725,] 0.72727273 1.00000000 1.00000000
  [1726,] 0.81818182 1.00000000 1.00000000
  [1727,] 0.90909091 1.00000000 1.00000000
  [1728,] 1.00000000 1.00000000 1.00000000

  $n
  [1] 1728


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cardinalR documentation built on May 29, 2024, 4:37 a.m.