# two.d.array: Convert (p x k x n) data array into 2D data matrix In geomorph: Geometric Morphometric Analyses of 2D/3D Landmark Data

## Description

Convert a three-dimensional array of landmark coordinates into a two-dimensional matrix

## Usage

 `1` ```two.d.array(A, sep = ".") ```

## Arguments

 `A` A 3D array (p x k x n) containing landmark coordinates for a set of specimens `sep` An optional argument for variable labeling, combining landmark labels (e.g., 1, 2, 3, ...) and partial dimension labels (e.g., "x", "y", and "z"), much like the `paste` function. The default is sep = ".", but this can be changed to any separator. One should make sure to match separators with `arrayspecs` if switching between matrices and arrays.

## Details

This function converts a (p x k x n) array of landmark coordinates into a two-dimensional matrix (n x [p x k]). The latter format of the shape data is useful for performing subsequent statistical analyses in R (e.g., PCA, MANOVA, PLS, etc.). Row labels are preserved if included in the original array.

## Value

Function returns a two-dimensional matrix of dimension (n x [p x k]), where rows represent specimens and columns represent variables.

## Author(s)

`arrayspecs`

## Examples

 ```1 2 3 4``` ```data(plethodon) plethodon\$land #original data in the form of 3D array two.d.array(plethodon\$land) # Convert to a 2D data matrix ```

### Example output

```Loading required package: rgl
Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl_init' failed, running with rgl.useNULL = TRUE
call: fun(...)
, , 1

[,1]     [,2]
[1,]  8.89372 53.77644
[2,]  9.26840 52.77072
[3,]  5.56104 54.21028
[4,]  1.87340 52.75100
[5,]  1.28180 53.18484
[6,]  1.24236 53.32288
[7,]  0.84796 54.70328
[8,]  3.35240 55.76816
[9,]  6.29068 55.70900
[10,]  8.87400 55.25544
[11,] 10.74740 55.43292
[12,] 14.39560 52.75100

, , 2

[,1]     [,2]
[1,]  8.679762 54.57819
[2,]  8.935628 53.83027
[3,]  5.451914 54.65691
[4,]  1.987882 52.68871
[5,]  1.515514 53.02331
[6,]  1.338376 53.22013
[7,]  1.239966 54.44041
[8,]  3.247530 55.85752
[9,]  6.219512 55.99529
[10,]  8.758490 56.01497
[11,] 10.903828 55.83783
[12,] 14.033266 53.86963

, , 3

[,1]     [,2]
[1,]  9.805328 56.06903
[2,] 10.137712 55.27961
[3,]  6.647680 55.73664
[4,]  3.448484 53.86698
[5,]  3.012230 54.34478
[6,]  2.825264 54.57330
[7,]  2.721394 55.73664
[8,]  4.549506 56.79612
[9,]  7.520188 57.35701
[10,]  9.846876 57.25314
[11,] 11.986598 57.23237
[12,] 14.749540 55.11342

, , 4

[,1]     [,2]
[1,]  9.637164 58.03294
[2,]  9.952104 56.77318
[3,]  6.109836 57.94896
[4,]  2.645496 55.89135
[5,]  2.015616 56.62621
[6,]  1.721672 57.21410
[7,]  1.868644 58.51585
[8,]  3.632308 59.48167
[9,]  6.865692 59.92258
[10,]  9.763140 59.56565
[11,] 11.883736 59.46067
[12,] 15.369072 56.56322

, , 5

[,1]     [,2]
[1,] 11.035692 58.75009
[2,] 11.335110 57.85184
[3,]  8.255382 58.92119
[4,]  4.555431 57.46687
[5,]  3.956595 58.08709
[6,]  3.871047 58.40790
[7,]  3.871047 59.58418
[8,]  5.795877 60.22579
[9,]  9.068088 60.24718
[10,] 11.420658 59.94776
[11,] 12.768039 59.88360
[12,] 15.847767 57.46687

, , 6

[,1]     [,2]
[1,]  7.946625 55.71114
[2,]  8.476400 54.82112
[3,]  4.979885 54.90588
[4,]  2.479347 52.85035
[5,]  2.076718 53.10465
[6,]  1.737662 53.14703
[7,]  1.335033 54.20658
[8,]  2.712448 55.54161
[9,]  5.382514 56.60116
[10,]  7.861861 56.96141
[11,]  9.663096 57.49118
[12,] 13.138420 55.75352

, , 7

[,1]     [,2]
[1,]  8.849841 58.66961
[2,]  9.396387 57.82877
[3,]  5.990985 58.31225
[4,]  2.501499 56.84078
[5,]  2.102100 57.28223
[6,]  1.933932 57.47141
[7,]  1.975974 58.43838
[8,]  3.741738 59.34228
[9,]  6.642636 59.72066
[10,]  8.849841 59.82577
[11,] 10.951941 59.48943
[12,] 13.579566 57.89183

, , 8

[,1]     [,2]
[1,]  9.331504 56.36904
[2,] 10.154872 55.31344
[3,]  6.671392 56.62238
[4,]  2.195648 55.08121
[5,]  1.688960 55.79902
[6,]  1.520064 56.28459
[7,]  1.583400 57.34019
[8,]  3.715712 58.22690
[9,]  7.241416 58.26912
[10,]  9.774856 57.88910
[11,] 11.949392 57.59354
[12,] 15.432872 54.70119

, , 9

[,1]     [,2]
[1,]  9.840795 58.49453
[2,] 10.179403 57.37289
[3,]  6.031455 58.49453
[4,]  2.624212 57.05545
[5,]  2.137463 57.35173
[6,]  1.566062 57.71150
[7,]  1.693040 58.98128
[8,]  3.745851 60.06059
[9,]  7.110768 60.14525
[10,] 10.073588 60.12408
[11,] 11.787791 59.89129
[12,] 15.131545 57.41522

, , 10

[,1]     [,2]
[1,]  9.563510 56.51740
[2,]  9.900550 55.50628
[3,]  5.919265 56.36994
[4,]  1.811590 54.45303
[5,]  1.369225 55.02178
[6,]  1.221770 55.54841
[7,]  1.200705 56.87550
[8,]  3.265075 57.88662
[9,]  6.551215 58.05514
[10,]  9.437120 57.97088
[11,] 11.627880 57.52851
[12,] 15.419580 55.08498

, , 11

[,1]     [,2]
[1,]  8.211782 57.04143
[2,]  8.337794 55.52929
[3,]  4.830460 59.47766
[4,]  0.336032 60.90580
[5,]  0.462044 61.68287
[6,]  0.378036 62.18692
[7,]  1.176112 63.19502
[8,]  4.053386 62.58596
[9,]  6.993666 60.56977
[10,]  9.765930 58.61658
[11,] 11.803124 57.29346
[12,] 15.016430 53.55510

, , 12

[,1]     [,2]
[1,]  8.691998 54.71960
[2,]  9.660114 53.56207
[3,]  5.240454 55.43516
[4,]  1.641588 54.76169
[5,]  0.926024 55.37203
[6,]  0.610334 55.85608
[7,]  0.926024 57.09780
[8,]  3.220038 57.72918
[9,]  6.503214 57.11884
[10,]  9.533838 56.46642
[11,] 11.449024 56.48746
[12,] 15.889730 54.13031

, , 13

[,1]     [,2]
[1,] 10.707338 61.44578
[2,] 11.724882 60.26636
[3,]  7.030304 61.28390
[4,]  2.890750 59.13318
[5,]  2.220096 59.78071
[6,]  2.058214 60.10447
[7,]  2.127592 61.49203
[8,]  4.393940 62.85647
[9,]  7.932218 63.11085
[10,] 11.216110 63.29586
[11,] 13.228072 63.85089
[12,] 18.500800 63.06460

, , 14

[,1]     [,2]
[1,]  8.470779 53.32874
[2,]  9.155484 52.66360
[3,]  6.397101 53.21136
[4,]  4.460364 52.42884
[5,]  4.166919 52.76141
[6,]  3.990852 53.21136
[7,]  4.264734 54.07213
[8,]  5.164632 54.50252
[9,]  7.453503 54.32645
[10,]  8.842476 54.34601
[11,]  9.820626 54.26776
[12,] 12.735513 53.48524

, , 15

[,1]     [,2]
[1,] 11.532672 74.42845
[2,] 12.226768 72.61312
[3,]  7.635056 75.04246
[4,]  2.776384 73.92122
[5,]  2.322552 74.32166
[6,]  1.681848 74.82889
[7,]  2.215768 76.40395
[8,]  4.965456 77.36501
[9,]  9.396992 76.99126
[10,] 12.280160 76.59082
[11,] 14.389144 76.27047
[12,] 19.488080 73.89453

, , 16

[,1]     [,2]
[1,]  8.919900 55.17745
[2,]  9.675468 53.01569
[3,]  5.561820 55.57622
[4,]  0.797544 54.17003
[5,]  0.482724 54.98856
[6,]  0.272844 55.49227
[7,]  0.524700 56.81452
[8,]  3.022272 57.63305
[9,]  6.737148 57.27625
[10,]  9.864360 56.98242
[11,] 11.984148 56.45772
[12,] 16.454592 54.75769

, , 17

[,1]     [,2]
[1,]  9.914553 55.94491
[2,] 10.459539 55.16935
[3,]  7.524999 55.94491
[4,]  5.009679 55.10647
[5,]  4.716225 55.48377
[6,]  4.527576 55.86107
[7,]  4.527576 56.55278
[8,]  5.743314 57.43314
[9,]  8.405361 57.34930
[10,] 10.124163 57.22353
[11,] 11.738160 57.22353
[12,] 14.484051 56.04971

, , 18

[,1]     [,2]
[1,] 10.661782 62.89986
[2,] 11.616221 61.66607
[3,]  6.867305 63.76118
[4,]  2.677085 62.24805
[5,]  2.025273 62.80674
[6,]  1.489856 63.36544
[7,]  1.839041 64.78546
[8,]  4.283336 65.83301
[9,]  8.566672 65.55366
[10,] 11.616221 64.92513
[11,] 13.874284 64.76218
[12,] 18.623200 62.87658

, , 19

[,1]     [,2]
[1,]  8.313908 51.34480
[2,]  9.735764 50.02168
[3,]  4.838260 51.38430
[4,]  1.303368 49.98219
[5,]  0.710928 50.57463
[6,]  0.572692 51.04858
[7,]  0.829416 52.23346
[8,]  2.784468 53.28010
[9,]  6.516840 53.35910
[10,]  9.419796 53.26036
[11,] 11.098376 53.14187
[12,] 15.818148 51.44354

, , 20

[,1]     [,2]
[1,]  8.506270 57.07500
[2,]  9.813331 55.99615
[3,]  5.912895 57.30321
[4,]  1.514531 56.24512
[5,]  1.161832 56.84678
[6,]  0.871374 57.19948
[7,]  1.286314 58.36131
[8,]  3.651472 59.00447
[9,]  6.929498 59.08746
[10,]  9.979307 58.65177
[11,] 11.888031 58.77625
[12,] 16.556106 56.95052

, , 21

[,1]     [,2]
[1,] 10.310018 55.68670
[2,] 11.086944 54.67879
[3,]  7.895248 55.77069
[4,]  4.388582 54.51081
[5,]  3.884630 54.80478
[6,]  3.569660 55.09875
[7,]  3.548662 56.10666
[8,]  5.291496 57.15656
[9,]  8.294210 57.40853
[10,] 10.519998 57.34554
[11,] 13.732692 57.51352
[12,] 15.958480 55.93867

, , 22

[,1]     [,2]
[1,]  8.168564 57.41153
[2,]  8.189617 56.04309
[3,]  5.579045 59.41157
[4,]  0.694749 60.42211
[5,]  0.421060 61.11686
[6,]  0.336848 61.58002
[7,]  1.305286 62.52741
[8,]  3.957964 62.61162
[9,]  7.494868 60.90633
[10,] 10.084387 59.05366
[11,] 13.810768 56.90626
[12,] 15.052895 53.24304

, , 23

[,1]     [,2]
[1,]  8.514847 55.94275
[2,]  9.163398 54.83394
[3,]  5.732354 55.92183
[4,]  2.238547 54.66657
[5,]  1.882890 55.00131
[6,]  1.694601 55.41973
[7,]  1.799206 56.25657
[8,]  3.640254 57.34446
[9,]  6.673799 57.59551
[10,]  9.016951 57.51183
[11,] 11.883128 57.34446
[12,] 14.100754 55.37789

, , 24

[,1]     [,2]
[1,]  7.52874 58.00074
[2,]  7.90728 57.24366
[3,]  5.23647 58.12692
[4,]  1.95579 56.94924
[5,]  1.55622 57.26469
[6,]  1.36695 57.79044
[7,]  1.53519 58.73679
[8,]  3.13347 59.49387
[9,]  5.59398 59.51490
[10,]  7.90728 59.22048
[11,] 10.53603 59.17842
[12,] 12.38667 57.43293

, , 25

[,1]     [,2]
[1,]  9.660255 58.00344
[2,] 10.498455 57.16524
[3,]  7.543800 58.17108
[4,]  4.253865 56.80901
[5,]  3.876675 57.27002
[6,]  3.583305 57.60530
[7,]  3.604260 58.50636
[8,]  5.196840 59.55411
[9,]  7.858125 59.70080
[10,] 10.142220 59.61698
[11,] 12.824460 59.38647
[12,] 15.108555 57.66816

, , 26

[,1]     [,2]
[1,]  8.374318 56.47404
[2,]  8.837220 55.10638
[3,]  5.554824 57.02111
[4,]  1.346624 55.94802
[5,]  0.967886 56.74758
[6,]  0.799558 57.33673
[7,]  0.904763 58.51502
[8,]  3.008863 59.20937
[9,]  6.312300 58.97792
[10,]  9.110753 58.28357
[11,] 12.498354 57.84171
[12,] 15.465135 55.56928

, , 27

[,1]     [,2]
[1,]  8.634288 57.98208
[2,]  9.663680 56.13338
[3,]  5.945264 58.54930
[4,]  1.491568 56.53253
[5,]  0.924352 57.41486
[6,]  0.630240 58.27619
[7,]  0.861328 59.83078
[8,]  3.361280 60.90219
[9,]  7.016672 60.86018
[10,]  9.936784 59.95683
[11,] 14.180400 59.43163
[12,] 17.016480 57.01571

, , 28

[,1]     [,2]
[1,]  9.99570 57.01410
[2,] 10.63920 55.74855
[3,]  6.73530 57.70050
[4,]  1.26555 55.83435
[5,]  0.64350 56.49930
[6,]  0.49335 56.99265
[7,]  0.66495 58.25820
[8,]  3.81810 59.56665
[9,]  7.61475 59.48085
[10,] 10.85370 58.92315
[11,] 14.43585 58.53705
[12,] 17.54610 56.11320

, , 29

[,1]     [,2]
[1,]  9.293050 56.80955
[2,]  9.860725 55.37985
[3,]  6.664925 57.29312
[4,]  2.733250 55.90547
[5,]  2.291725 56.15777
[6,]  2.018400 56.62032
[7,]  2.060450 57.83977
[8,]  4.205000 59.08025
[9,]  7.758225 59.01717
[10,] 10.449425 58.40745
[11,] 13.645225 57.96592
[12,] 15.831825 56.15777

, , 30

[,1]     [,2]
[1,]  8.395014 57.54170
[2,]  9.238734 56.52924
[3,]  6.243528 57.96356
[4,]  2.425695 57.01438
[5,]  1.792905 57.26750
[6,]  1.455417 57.49952
[7,]  1.413231 58.51198
[8,]  3.417066 59.65100
[9,]  6.686481 59.54554
[10,]  9.133269 58.80728
[11,] 11.790987 58.51198
[12,] 14.090124 56.74017

, , 31

[,1]     [,2]
[1,]  9.536103 56.41668
[2,] 10.188684 55.53254
[3,]  6.862626 56.83770
[4,]  2.778732 55.72200
[5,]  2.315610 56.16407
[6,]  1.978794 56.45878
[7,]  2.084049 57.49028
[8,]  4.189149 58.39547
[9,]  7.431003 58.62703
[10,] 10.314990 58.35337
[11,] 13.809456 57.99551
[12,] 15.935607 56.03776

, , 32

[,1]     [,2]
[1,]  9.28998 57.66999
[2,]  9.43845 56.39739
[3,]  6.15090 60.06672
[4,]  0.91203 61.10601
[5,]  0.67872 61.63626
[6,]  0.57267 62.16651
[7,]  1.16655 63.16338
[8,]  4.43289 63.26943
[9,]  7.86891 61.44537
[10,] 10.90194 59.30316
[11,] 14.23191 57.26700
[12,] 15.84387 53.95824

, , 33

[,1]     [,2]
[1,]  9.45411 57.01684
[2,] 10.10108 56.05682
[3,]  6.63666 57.28815
[4,]  2.69223 55.86899
[5,]  2.35831 56.36987
[6,]  2.02439 56.72466
[7,]  2.08700 57.72642
[8,]  3.88182 58.85340
[9,]  7.57581 58.89514
[10,] 10.20543 58.39426
[11,] 13.44028 58.20643
[12,] 16.13251 56.32813

, , 34

[,1]     [,2]
[1,]  7.130627 56.33819
[2,]  7.546407 55.63136
[3,]  5.238828 56.50450
[4,]  1.683909 55.36111
[5,]  1.476019 55.67294
[6,]  1.247340 55.75610
[7,]  1.164184 56.75397
[8,]  2.577836 57.81421
[9,]  5.488296 57.98052
[10,]  7.691930 57.54395
[11,] 10.165821 57.39843
[12,] 12.847602 55.79768

, , 35

[,1]     [,2]
[1,]  9.093168 58.07419
[2,]  9.745687 56.79020
[3,]  6.209455 58.36888
[4,]  1.852312 57.00069
[5,]  1.283989 57.48482
[6,]  1.094548 57.90580
[7,]  1.305038 59.00035
[8,]  3.388889 59.96860
[9,]  7.114562 60.32643
[10,]  9.787785 59.71601
[11,] 12.945135 59.16874
[12,] 15.239476 57.50587

, , 36

[,1]     [,2]
[1,]  8.076244 58.16164
[2,]  8.837356 57.21025
[3,]  5.412352 58.26735
[4,]  1.945064 56.51257
[5,]  1.458798 56.93541
[6,]  1.205094 57.29482
[7,]  1.374230 58.20393
[8,]  3.065590 59.45130
[9,]  5.835192 59.85300
[10,]  8.625936 59.64158
[11,] 11.691526 59.76843
[12,] 14.672548 57.88680

, , 37

[,1]     [,2]
[1,]  8.46210 56.89815
[2,]  9.28305 55.97195
[3,]  6.44130 56.77185
[4,]  2.31550 55.29835
[5,]  1.91555 55.57200
[6,]  1.78925 56.05615
[7,]  1.76820 57.08760
[8,]  3.17855 57.99275
[9,]  6.31500 58.45585
[10,]  8.77785 58.37165
[11,] 11.97745 58.35060
[12,] 14.46135 57.08760

, , 38

[,1]     [,2]
[1,]  8.58024 57.72735
[2,]  9.65277 56.27628
[3,]  6.07767 58.31619
[4,]  1.21974 57.41190
[5,]  0.79914 58.27413
[6,]  0.65193 58.77885
[7,]  1.07253 60.12477
[8,]  3.36480 60.73464
[9,]  6.98196 60.27198
[10,] 10.01028 59.28357
[11,] 13.83774 58.88400
[12,] 16.71885 56.08701

, , 39

[,1]     [,2]
[1,]  9.389055 56.73521
[2,] 10.000926 55.84905
[3,]  6.751680 56.94620
[4,]  2.869464 55.57477
[5,]  2.363088 56.06004
[6,]  2.088801 56.62972
[7,]  2.236494 57.62137
[8,]  4.198701 58.50753
[9,]  7.532343 58.38093
[10,]  9.916530 58.21214
[11,] 12.638301 58.29654
[12,] 15.338973 56.27103

, , 40

[,1]     [,2]
[1,]  9.494001 56.66929
[2,] 10.125531 55.57464
[3,]  6.694218 57.25872
[4,]  1.494621 56.47983
[5,]  0.968346 56.77455
[6,]  0.842040 57.34292
[7,]  0.989397 58.33232
[8,]  3.410262 59.30067
[9,]  7.473105 58.92175
[10,]  9.957123 58.26917
[11,] 13.514742 57.72184
[12,] 15.956658 55.59569

[,1]     [,2]      [,3]     [,4]     [,5]     [,6]     [,7]     [,8]
[1,]  8.893720 53.77644  9.268400 52.77072 5.561040 54.21028 1.873400 52.75100
[2,]  8.679762 54.57819  8.935628 53.83027 5.451914 54.65691 1.987882 52.68871
[3,]  9.805328 56.06903 10.137712 55.27961 6.647680 55.73664 3.448484 53.86698
[4,]  9.637164 58.03294  9.952104 56.77318 6.109836 57.94896 2.645496 55.89135
[5,] 11.035692 58.75009 11.335110 57.85184 8.255382 58.92119 4.555431 57.46687
[6,]  7.946625 55.71114  8.476400 54.82112 4.979885 54.90588 2.479347 52.85035
[7,]  8.849841 58.66961  9.396387 57.82877 5.990985 58.31225 2.501499 56.84078
[8,]  9.331504 56.36904 10.154872 55.31344 6.671392 56.62238 2.195648 55.08121
[9,]  9.840795 58.49453 10.179403 57.37289 6.031455 58.49453 2.624212 57.05545
[10,]  9.563510 56.51740  9.900550 55.50628 5.919265 56.36994 1.811590 54.45303
[11,]  8.211782 57.04143  8.337794 55.52929 4.830460 59.47766 0.336032 60.90580
[12,]  8.691998 54.71960  9.660114 53.56207 5.240454 55.43516 1.641588 54.76169
[13,] 10.707338 61.44578 11.724882 60.26636 7.030304 61.28390 2.890750 59.13318
[14,]  8.470779 53.32874  9.155484 52.66360 6.397101 53.21136 4.460364 52.42884
[15,] 11.532672 74.42845 12.226768 72.61312 7.635056 75.04246 2.776384 73.92122
[16,]  8.919900 55.17745  9.675468 53.01569 5.561820 55.57622 0.797544 54.17003
[17,]  9.914553 55.94491 10.459539 55.16935 7.524999 55.94491 5.009679 55.10647
[18,] 10.661782 62.89986 11.616221 61.66607 6.867305 63.76118 2.677085 62.24805
[19,]  8.313908 51.34480  9.735764 50.02168 4.838260 51.38430 1.303368 49.98219
[20,]  8.506270 57.07500  9.813331 55.99615 5.912895 57.30321 1.514531 56.24512
[21,] 10.310018 55.68670 11.086944 54.67879 7.895248 55.77069 4.388582 54.51081
[22,]  8.168564 57.41153  8.189617 56.04309 5.579045 59.41157 0.694749 60.42211
[23,]  8.514847 55.94275  9.163398 54.83394 5.732354 55.92183 2.238547 54.66657
[24,]  7.528740 58.00074  7.907280 57.24366 5.236470 58.12692 1.955790 56.94924
[25,]  9.660255 58.00344 10.498455 57.16524 7.543800 58.17108 4.253865 56.80901
[26,]  8.374318 56.47404  8.837220 55.10638 5.554824 57.02111 1.346624 55.94802
[27,]  8.634288 57.98208  9.663680 56.13338 5.945264 58.54930 1.491568 56.53253
[28,]  9.995700 57.01410 10.639200 55.74855 6.735300 57.70050 1.265550 55.83435
[29,]  9.293050 56.80955  9.860725 55.37985 6.664925 57.29312 2.733250 55.90547
[30,]  8.395014 57.54170  9.238734 56.52924 6.243528 57.96356 2.425695 57.01438
[31,]  9.536103 56.41668 10.188684 55.53254 6.862626 56.83770 2.778732 55.72200
[32,]  9.289980 57.66999  9.438450 56.39739 6.150900 60.06672 0.912030 61.10601
[33,]  9.454110 57.01684 10.101080 56.05682 6.636660 57.28815 2.692230 55.86899
[34,]  7.130627 56.33819  7.546407 55.63136 5.238828 56.50450 1.683909 55.36111
[35,]  9.093168 58.07419  9.745687 56.79020 6.209455 58.36888 1.852312 57.00069
[36,]  8.076244 58.16164  8.837356 57.21025 5.412352 58.26735 1.945064 56.51257
[37,]  8.462100 56.89815  9.283050 55.97195 6.441300 56.77185 2.315500 55.29835
[38,]  8.580240 57.72735  9.652770 56.27628 6.077670 58.31619 1.219740 57.41190
[39,]  9.389055 56.73521 10.000926 55.84905 6.751680 56.94620 2.869464 55.57477
[40,]  9.494001 56.66929 10.125531 55.57464 6.694218 57.25872 1.494621 56.47983
[,9]    [,10]    [,11]    [,12]    [,13]    [,14]    [,15]    [,16]
[1,] 1.281800 53.18484 1.242360 53.32288 0.847960 54.70328 3.352400 55.76816
[2,] 1.515514 53.02331 1.338376 53.22013 1.239966 54.44041 3.247530 55.85752
[3,] 3.012230 54.34478 2.825264 54.57330 2.721394 55.73664 4.549506 56.79612
[4,] 2.015616 56.62621 1.721672 57.21410 1.868644 58.51585 3.632308 59.48167
[5,] 3.956595 58.08709 3.871047 58.40790 3.871047 59.58418 5.795877 60.22579
[6,] 2.076718 53.10465 1.737662 53.14703 1.335033 54.20658 2.712448 55.54161
[7,] 2.102100 57.28223 1.933932 57.47141 1.975974 58.43838 3.741738 59.34228
[8,] 1.688960 55.79902 1.520064 56.28459 1.583400 57.34019 3.715712 58.22690
[9,] 2.137463 57.35173 1.566062 57.71150 1.693040 58.98128 3.745851 60.06059
[10,] 1.369225 55.02178 1.221770 55.54841 1.200705 56.87550 3.265075 57.88662
[11,] 0.462044 61.68287 0.378036 62.18692 1.176112 63.19502 4.053386 62.58596
[12,] 0.926024 55.37203 0.610334 55.85608 0.926024 57.09780 3.220038 57.72918
[13,] 2.220096 59.78071 2.058214 60.10447 2.127592 61.49203 4.393940 62.85647
[14,] 4.166919 52.76141 3.990852 53.21136 4.264734 54.07213 5.164632 54.50252
[15,] 2.322552 74.32166 1.681848 74.82889 2.215768 76.40395 4.965456 77.36501
[16,] 0.482724 54.98856 0.272844 55.49227 0.524700 56.81452 3.022272 57.63305
[17,] 4.716225 55.48377 4.527576 55.86107 4.527576 56.55278 5.743314 57.43314
[18,] 2.025273 62.80674 1.489856 63.36544 1.839041 64.78546 4.283336 65.83301
[19,] 0.710928 50.57463 0.572692 51.04858 0.829416 52.23346 2.784468 53.28010
[20,] 1.161832 56.84678 0.871374 57.19948 1.286314 58.36131 3.651472 59.00447
[21,] 3.884630 54.80478 3.569660 55.09875 3.548662 56.10666 5.291496 57.15656
[22,] 0.421060 61.11686 0.336848 61.58002 1.305286 62.52741 3.957964 62.61162
[23,] 1.882890 55.00131 1.694601 55.41973 1.799206 56.25657 3.640254 57.34446
[24,] 1.556220 57.26469 1.366950 57.79044 1.535190 58.73679 3.133470 59.49387
[25,] 3.876675 57.27002 3.583305 57.60530 3.604260 58.50636 5.196840 59.55411
[26,] 0.967886 56.74758 0.799558 57.33673 0.904763 58.51502 3.008863 59.20937
[27,] 0.924352 57.41486 0.630240 58.27619 0.861328 59.83078 3.361280 60.90219
[28,] 0.643500 56.49930 0.493350 56.99265 0.664950 58.25820 3.818100 59.56665
[29,] 2.291725 56.15777 2.018400 56.62032 2.060450 57.83977 4.205000 59.08025
[30,] 1.792905 57.26750 1.455417 57.49952 1.413231 58.51198 3.417066 59.65100
[31,] 2.315610 56.16407 1.978794 56.45878 2.084049 57.49028 4.189149 58.39547
[32,] 0.678720 61.63626 0.572670 62.16651 1.166550 63.16338 4.432890 63.26943
[33,] 2.358310 56.36987 2.024390 56.72466 2.087000 57.72642 3.881820 58.85340
[34,] 1.476019 55.67294 1.247340 55.75610 1.164184 56.75397 2.577836 57.81421
[35,] 1.283989 57.48482 1.094548 57.90580 1.305038 59.00035 3.388889 59.96860
[36,] 1.458798 56.93541 1.205094 57.29482 1.374230 58.20393 3.065590 59.45130
[37,] 1.915550 55.57200 1.789250 56.05615 1.768200 57.08760 3.178550 57.99275
[38,] 0.799140 58.27413 0.651930 58.77885 1.072530 60.12477 3.364800 60.73464
[39,] 2.363088 56.06004 2.088801 56.62972 2.236494 57.62137 4.198701 58.50753
[40,] 0.968346 56.77455 0.842040 57.34292 0.989397 58.33232 3.410262 59.30067
[,17]    [,18]     [,19]    [,20]     [,21]    [,22]    [,23]    [,24]
[1,] 6.290680 55.70900  8.874000 55.25544 10.747400 55.43292 14.39560 52.75100
[2,] 6.219512 55.99529  8.758490 56.01497 10.903828 55.83783 14.03327 53.86963
[3,] 7.520188 57.35701  9.846876 57.25314 11.986598 57.23237 14.74954 55.11342
[4,] 6.865692 59.92258  9.763140 59.56565 11.883736 59.46067 15.36907 56.56322
[5,] 9.068088 60.24718 11.420658 59.94776 12.768039 59.88360 15.84777 57.46687
[6,] 5.382514 56.60116  7.861861 56.96141  9.663096 57.49118 13.13842 55.75352
[7,] 6.642636 59.72066  8.849841 59.82577 10.951941 59.48943 13.57957 57.89183
[8,] 7.241416 58.26912  9.774856 57.88910 11.949392 57.59354 15.43287 54.70119
[9,] 7.110768 60.14525 10.073588 60.12408 11.787791 59.89129 15.13155 57.41522
[10,] 6.551215 58.05514  9.437120 57.97088 11.627880 57.52851 15.41958 55.08498
[11,] 6.993666 60.56977  9.765930 58.61658 11.803124 57.29346 15.01643 53.55510
[12,] 6.503214 57.11884  9.533838 56.46642 11.449024 56.48746 15.88973 54.13031
[13,] 7.932218 63.11085 11.216110 63.29586 13.228072 63.85089 18.50080 63.06460
[14,] 7.453503 54.32645  8.842476 54.34601  9.820626 54.26776 12.73551 53.48524
[15,] 9.396992 76.99126 12.280160 76.59082 14.389144 76.27047 19.48808 73.89453
[16,] 6.737148 57.27625  9.864360 56.98242 11.984148 56.45772 16.45459 54.75769
[17,] 8.405361 57.34930 10.124163 57.22353 11.738160 57.22353 14.48405 56.04971
[18,] 8.566672 65.55366 11.616221 64.92513 13.874284 64.76218 18.62320 62.87658
[19,] 6.516840 53.35910  9.419796 53.26036 11.098376 53.14187 15.81815 51.44354
[20,] 6.929498 59.08746  9.979307 58.65177 11.888031 58.77625 16.55611 56.95052
[21,] 8.294210 57.40853 10.519998 57.34554 13.732692 57.51352 15.95848 55.93867
[22,] 7.494868 60.90633 10.084387 59.05366 13.810768 56.90626 15.05289 53.24304
[23,] 6.673799 57.59551  9.016951 57.51183 11.883128 57.34446 14.10075 55.37789
[24,] 5.593980 59.51490  7.907280 59.22048 10.536030 59.17842 12.38667 57.43293
[25,] 7.858125 59.70080 10.142220 59.61698 12.824460 59.38647 15.10856 57.66816
[26,] 6.312300 58.97792  9.110753 58.28357 12.498354 57.84171 15.46514 55.56928
[27,] 7.016672 60.86018  9.936784 59.95683 14.180400 59.43163 17.01648 57.01571
[28,] 7.614750 59.48085 10.853700 58.92315 14.435850 58.53705 17.54610 56.11320
[29,] 7.758225 59.01717 10.449425 58.40745 13.645225 57.96592 15.83182 56.15777
[30,] 6.686481 59.54554  9.133269 58.80728 11.790987 58.51198 14.09012 56.74017
[31,] 7.431003 58.62703 10.314990 58.35337 13.809456 57.99551 15.93561 56.03776
[32,] 7.868910 61.44537 10.901940 59.30316 14.231910 57.26700 15.84387 53.95824
[33,] 7.575810 58.89514 10.205430 58.39426 13.440280 58.20643 16.13251 56.32813
[34,] 5.488296 57.98052  7.691930 57.54395 10.165821 57.39843 12.84760 55.79768
[35,] 7.114562 60.32643  9.787785 59.71601 12.945135 59.16874 15.23948 57.50587
[36,] 5.835192 59.85300  8.625936 59.64158 11.691526 59.76843 14.67255 57.88680
[37,] 6.315000 58.45585  8.777850 58.37165 11.977450 58.35060 14.46135 57.08760
[38,] 6.981960 60.27198 10.010280 59.28357 13.837740 58.88400 16.71885 56.08701
[39,] 7.532343 58.38093  9.916530 58.21214 12.638301 58.29654 15.33897 56.27103
[40,] 7.473105 58.92175  9.957123 58.26917 13.514742 57.72184 15.95666 55.59569
```

geomorph documentation built on Aug. 10, 2017, 1:11 a.m.