# nolhDesign: Cioppa's Nearly Orthogonal Latin Hypercube Designs In DiceDesign: Designs of Computer Experiments

## Description

This function generates a NOLH design of dimension 2 to 29 and normalizes it to the selected range. The design is extracted from Cioppa's `NOLHdesigns` list.

## Usage

 `1` ```nolhDesign(dimension, range = c(0, 1)) ```

## Arguments

 `dimension ` number of input variables `range ` the scale (min and max) of the inputs. Range (0, 0) and (1, 1) are special cases and call integer ranges (-m, m) and (0, 2m). See the examples

## Value

A list with components:

 `n ` the number of lines/experiments `dimension ` the number of columns/input variables `design ` the design of experiments

## Author(s)

T.M. Cioppa for the designs. P. Kiener for the R code.

Cioppa's list `NOLHdesigns`. Other NOLH and OLH designs: `nolhdrDesign`, `olhDesign`.

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11``` ```## Classical normalizations nolhDesign(8, range = c(1, 1)) nolhDesign(8, range = c(0, 0)) nolhDesign(8, range = c(0, 1)) nolhDesign(8, range = c(-1, 1)) ## Change the dimnames, adjust to range (-10, 10) and round to 2 digits xDRDN(nolhDesign(8), letter = "T", dgts = 2, range = c(-10, 10)) ## A list of designs lapply(5:9, function(n) nolhDesign(n, range = c(-1, 1))\$design) ```

### Example output

```\$n
[1] 33

\$dimension
[1] 8

\$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,]   16  -13   -2  -10   12    4    6   -1
[2,]   13   16  -12   -4   -1  -10    8   -6
[3,]   12   -2   13  -11  -15    3    7  -15
[4,]    2   12   16   -3   14  -11   10  -14
[5,]   14  -15   -1   -9    6    7   -3    2
[6,]   15   14   -6   -7   -2   -9  -11   12
[7,]    6   -1   15   -8  -16    5   -4   13
[8,]    1    6   14   -5   13   -8   -9   16
[9,]    5   -8   -9    1    7   -6  -16  -10
[10,]    8    5   -7    6   -9    1  -13   -4
[11,]    7   -9    8   15   -5  -14  -12  -11
[12,]    9    7    5   14    8   15   -1   -3
[13,]    3  -11  -10    2    3  -12   15    9
[14,]   11    3   -4   12  -11    2   14    7
[15,]    4  -10   11   13   -4  -16    5    8
[16,]   10    4    3   16   10   13    2    5
[17,]    0    0    0    0    0    0    0    0
[18,]  -16   13    2   10  -12   -4   -6    1
[19,]  -13  -16   12    4    1   10   -8    6
[20,]  -12    2  -13   11   15   -3   -7   15
[21,]   -2  -12  -16    3  -14   11  -10   14
[22,]  -14   15    1    9   -6   -7    3   -2
[23,]  -15  -14    6    7    2    9   11  -12
[24,]   -6    1  -15    8   16   -5    4  -13
[25,]   -1   -6  -14    5  -13    8    9  -16
[26,]   -5    8    9   -1   -7    6   16   10
[27,]   -8   -5    7   -6    9   -1   13    4
[28,]   -7    9   -8  -15    5   14   12   11
[29,]   -9   -7   -5  -14   -8  -15    1    3
[30,]   -3   11   10   -2   -3   12  -15   -9
[31,]  -11   -3    4  -12   11   -2  -14   -7
[32,]   -4   10  -11  -13    4   16   -5   -8
[33,]  -10   -4   -3  -16  -10  -13   -2   -5

\$n
[1] 33

\$dimension
[1] 8

\$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,]   32    3   14    6   28   20   22   15
[2,]   29   32    4   12   15    6   24   10
[3,]   28   14   29    5    1   19   23    1
[4,]   18   28   32   13   30    5   26    2
[5,]   30    1   15    7   22   23   13   18
[6,]   31   30   10    9   14    7    5   28
[7,]   22   15   31    8    0   21   12   29
[8,]   17   22   30   11   29    8    7   32
[9,]   21    8    7   17   23   10    0    6
[10,]   24   21    9   22    7   17    3   12
[11,]   23    7   24   31   11    2    4    5
[12,]   25   23   21   30   24   31   15   13
[13,]   19    5    6   18   19    4   31   25
[14,]   27   19   12   28    5   18   30   23
[15,]   20    6   27   29   12    0   21   24
[16,]   26   20   19   32   26   29   18   21
[17,]   16   16   16   16   16   16   16   16
[18,]    0   29   18   26    4   12   10   17
[19,]    3    0   28   20   17   26    8   22
[20,]    4   18    3   27   31   13    9   31
[21,]   14    4    0   19    2   27    6   30
[22,]    2   31   17   25   10    9   19   14
[23,]    1    2   22   23   18   25   27    4
[24,]   10   17    1   24   32   11   20    3
[25,]   15   10    2   21    3   24   25    0
[26,]   11   24   25   15    9   22   32   26
[27,]    8   11   23   10   25   15   29   20
[28,]    9   25    8    1   21   30   28   27
[29,]    7    9   11    2    8    1   17   19
[30,]   13   27   26   14   13   28    1    7
[31,]    5   13   20    4   27   14    2    9
[32,]   12   26    5    3   20   32   11    8
[33,]    6   12   13    0    6    3   14   11

\$n
[1] 33

\$dimension
[1] 8

\$design
[,1]    [,2]    [,3]    [,4]    [,5]    [,6]    [,7]    [,8]
[1,] 1.00000 0.09375 0.43750 0.18750 0.87500 0.62500 0.68750 0.46875
[2,] 0.90625 1.00000 0.12500 0.37500 0.46875 0.18750 0.75000 0.31250
[3,] 0.87500 0.43750 0.90625 0.15625 0.03125 0.59375 0.71875 0.03125
[4,] 0.56250 0.87500 1.00000 0.40625 0.93750 0.15625 0.81250 0.06250
[5,] 0.93750 0.03125 0.46875 0.21875 0.68750 0.71875 0.40625 0.56250
[6,] 0.96875 0.93750 0.31250 0.28125 0.43750 0.21875 0.15625 0.87500
[7,] 0.68750 0.46875 0.96875 0.25000 0.00000 0.65625 0.37500 0.90625
[8,] 0.53125 0.68750 0.93750 0.34375 0.90625 0.25000 0.21875 1.00000
[9,] 0.65625 0.25000 0.21875 0.53125 0.71875 0.31250 0.00000 0.18750
[10,] 0.75000 0.65625 0.28125 0.68750 0.21875 0.53125 0.09375 0.37500
[11,] 0.71875 0.21875 0.75000 0.96875 0.34375 0.06250 0.12500 0.15625
[12,] 0.78125 0.71875 0.65625 0.93750 0.75000 0.96875 0.46875 0.40625
[13,] 0.59375 0.15625 0.18750 0.56250 0.59375 0.12500 0.96875 0.78125
[14,] 0.84375 0.59375 0.37500 0.87500 0.15625 0.56250 0.93750 0.71875
[15,] 0.62500 0.18750 0.84375 0.90625 0.37500 0.00000 0.65625 0.75000
[16,] 0.81250 0.62500 0.59375 1.00000 0.81250 0.90625 0.56250 0.65625
[17,] 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000
[18,] 0.00000 0.90625 0.56250 0.81250 0.12500 0.37500 0.31250 0.53125
[19,] 0.09375 0.00000 0.87500 0.62500 0.53125 0.81250 0.25000 0.68750
[20,] 0.12500 0.56250 0.09375 0.84375 0.96875 0.40625 0.28125 0.96875
[21,] 0.43750 0.12500 0.00000 0.59375 0.06250 0.84375 0.18750 0.93750
[22,] 0.06250 0.96875 0.53125 0.78125 0.31250 0.28125 0.59375 0.43750
[23,] 0.03125 0.06250 0.68750 0.71875 0.56250 0.78125 0.84375 0.12500
[24,] 0.31250 0.53125 0.03125 0.75000 1.00000 0.34375 0.62500 0.09375
[25,] 0.46875 0.31250 0.06250 0.65625 0.09375 0.75000 0.78125 0.00000
[26,] 0.34375 0.75000 0.78125 0.46875 0.28125 0.68750 1.00000 0.81250
[27,] 0.25000 0.34375 0.71875 0.31250 0.78125 0.46875 0.90625 0.62500
[28,] 0.28125 0.78125 0.25000 0.03125 0.65625 0.93750 0.87500 0.84375
[29,] 0.21875 0.28125 0.34375 0.06250 0.25000 0.03125 0.53125 0.59375
[30,] 0.40625 0.84375 0.81250 0.43750 0.40625 0.87500 0.03125 0.21875
[31,] 0.15625 0.40625 0.62500 0.12500 0.84375 0.43750 0.06250 0.28125
[32,] 0.37500 0.81250 0.15625 0.09375 0.62500 1.00000 0.34375 0.25000
[33,] 0.18750 0.37500 0.40625 0.00000 0.18750 0.09375 0.43750 0.34375

\$n
[1] 33

\$dimension
[1] 8

\$design
[,1]    [,2]    [,3]    [,4]    [,5]    [,6]    [,7]    [,8]
[1,]  1.0000 -0.8125 -0.1250 -0.6250  0.7500  0.2500  0.3750 -0.0625
[2,]  0.8125  1.0000 -0.7500 -0.2500 -0.0625 -0.6250  0.5000 -0.3750
[3,]  0.7500 -0.1250  0.8125 -0.6875 -0.9375  0.1875  0.4375 -0.9375
[4,]  0.1250  0.7500  1.0000 -0.1875  0.8750 -0.6875  0.6250 -0.8750
[5,]  0.8750 -0.9375 -0.0625 -0.5625  0.3750  0.4375 -0.1875  0.1250
[6,]  0.9375  0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875  0.7500
[7,]  0.3750 -0.0625  0.9375 -0.5000 -1.0000  0.3125 -0.2500  0.8125
[8,]  0.0625  0.3750  0.8750 -0.3125  0.8125 -0.5000 -0.5625  1.0000
[9,]  0.3125 -0.5000 -0.5625  0.0625  0.4375 -0.3750 -1.0000 -0.6250
[10,]  0.5000  0.3125 -0.4375  0.3750 -0.5625  0.0625 -0.8125 -0.2500
[11,]  0.4375 -0.5625  0.5000  0.9375 -0.3125 -0.8750 -0.7500 -0.6875
[12,]  0.5625  0.4375  0.3125  0.8750  0.5000  0.9375 -0.0625 -0.1875
[13,]  0.1875 -0.6875 -0.6250  0.1250  0.1875 -0.7500  0.9375  0.5625
[14,]  0.6875  0.1875 -0.2500  0.7500 -0.6875  0.1250  0.8750  0.4375
[15,]  0.2500 -0.6250  0.6875  0.8125 -0.2500 -1.0000  0.3125  0.5000
[16,]  0.6250  0.2500  0.1875  1.0000  0.6250  0.8125  0.1250  0.3125
[17,]  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000
[18,] -1.0000  0.8125  0.1250  0.6250 -0.7500 -0.2500 -0.3750  0.0625
[19,] -0.8125 -1.0000  0.7500  0.2500  0.0625  0.6250 -0.5000  0.3750
[20,] -0.7500  0.1250 -0.8125  0.6875  0.9375 -0.1875 -0.4375  0.9375
[21,] -0.1250 -0.7500 -1.0000  0.1875 -0.8750  0.6875 -0.6250  0.8750
[22,] -0.8750  0.9375  0.0625  0.5625 -0.3750 -0.4375  0.1875 -0.1250
[23,] -0.9375 -0.8750  0.3750  0.4375  0.1250  0.5625  0.6875 -0.7500
[24,] -0.3750  0.0625 -0.9375  0.5000  1.0000 -0.3125  0.2500 -0.8125
[25,] -0.0625 -0.3750 -0.8750  0.3125 -0.8125  0.5000  0.5625 -1.0000
[26,] -0.3125  0.5000  0.5625 -0.0625 -0.4375  0.3750  1.0000  0.6250
[27,] -0.5000 -0.3125  0.4375 -0.3750  0.5625 -0.0625  0.8125  0.2500
[28,] -0.4375  0.5625 -0.5000 -0.9375  0.3125  0.8750  0.7500  0.6875
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375  0.0625  0.1875
[30,] -0.1875  0.6875  0.6250 -0.1250 -0.1875  0.7500 -0.9375 -0.5625
[31,] -0.6875 -0.1875  0.2500 -0.7500  0.6875 -0.1250 -0.8750 -0.4375
[32,] -0.2500  0.6250 -0.6875 -0.8125  0.2500  1.0000 -0.3125 -0.5000
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125

T1     T2     T3     T4     T5     T6     T7     T8
1   10.00  -8.12  -1.25  -6.25   7.50   2.50   3.75  -0.62
2    8.12  10.00  -7.50  -2.50  -0.62  -6.25   5.00  -3.75
3    7.50  -1.25   8.12  -6.88  -9.38   1.88   4.38  -9.38
4    1.25   7.50  10.00  -1.88   8.75  -6.88   6.25  -8.75
5    8.75  -9.38  -0.62  -5.62   3.75   4.38  -1.88   1.25
6    9.38   8.75  -3.75  -4.38  -1.25  -5.62  -6.88   7.50
7    3.75  -0.62   9.38  -5.00 -10.00   3.12  -2.50   8.12
8    0.62   3.75   8.75  -3.12   8.12  -5.00  -5.62  10.00
9    3.12  -5.00  -5.62   0.62   4.38  -3.75 -10.00  -6.25
10   5.00   3.12  -4.38   3.75  -5.62   0.62  -8.12  -2.50
11   4.38  -5.62   5.00   9.38  -3.12  -8.75  -7.50  -6.88
12   5.62   4.38   3.12   8.75   5.00   9.38  -0.62  -1.88
13   1.88  -6.88  -6.25   1.25   1.88  -7.50   9.38   5.62
14   6.88   1.88  -2.50   7.50  -6.88   1.25   8.75   4.38
15   2.50  -6.25   6.88   8.12  -2.50 -10.00   3.12   5.00
16   6.25   2.50   1.88  10.00   6.25   8.12   1.25   3.12
17   0.00   0.00   0.00   0.00   0.00   0.00   0.00   0.00
18 -10.00   8.12   1.25   6.25  -7.50  -2.50  -3.75   0.62
19  -8.12 -10.00   7.50   2.50   0.62   6.25  -5.00   3.75
20  -7.50   1.25  -8.12   6.88   9.38  -1.88  -4.38   9.38
21  -1.25  -7.50 -10.00   1.88  -8.75   6.88  -6.25   8.75
22  -8.75   9.38   0.62   5.62  -3.75  -4.38   1.88  -1.25
23  -9.38  -8.75   3.75   4.38   1.25   5.62   6.88  -7.50
24  -3.75   0.62  -9.38   5.00  10.00  -3.12   2.50  -8.12
25  -0.62  -3.75  -8.75   3.12  -8.12   5.00   5.62 -10.00
26  -3.12   5.00   5.62  -0.62  -4.38   3.75  10.00   6.25
27  -5.00  -3.12   4.38  -3.75   5.62  -0.62   8.12   2.50
28  -4.38   5.62  -5.00  -9.38   3.12   8.75   7.50   6.88
29  -5.62  -4.38  -3.12  -8.75  -5.00  -9.38   0.62   1.88
30  -1.88   6.88   6.25  -1.25  -1.88   7.50  -9.38  -5.62
31  -6.88  -1.88   2.50  -7.50   6.88  -1.25  -8.75  -4.38
32  -2.50   6.25  -6.88  -8.12   2.50  10.00  -3.12  -5.00
33  -6.25  -2.50  -1.88 -10.00  -6.25  -8.12  -1.25  -3.12
[[1]]
[,1]   [,2]   [,3]   [,4]   [,5]
[1,] -0.375  1.000  0.625 -0.250 -0.500
[2,] -0.875 -0.500  0.750  0.125 -1.000
[3,] -0.750 -0.125 -0.875 -0.500  0.250
[4,] -0.625  0.250 -0.375  1.000  0.125
[5,]  0.500  0.875 -0.125 -0.750 -0.375
[6,]  1.000 -0.375 -0.250  0.625 -0.875
[7,]  0.250 -0.625  1.000 -0.375  0.750
[8,]  0.125  0.750  0.500  0.875  0.625
[9,]  0.000  0.000  0.000  0.000  0.000
[10,]  0.375 -1.000 -0.625  0.250  0.500
[11,]  0.875  0.500 -0.750 -0.125  1.000
[12,]  0.750  0.125  0.875  0.500 -0.250
[13,]  0.625 -0.250  0.375 -1.000 -0.125
[14,] -0.500 -0.875  0.125  0.750  0.375
[15,] -1.000  0.375  0.250 -0.625  0.875
[16,] -0.250  0.625 -1.000  0.375 -0.750
[17,] -0.125 -0.750 -0.500 -0.875 -0.625

[[2]]
[,1]   [,2]   [,3]   [,4]   [,5]   [,6]
[1,] -0.375  1.000  0.625 -0.250 -0.500  0.875
[2,] -0.875 -0.500  0.750  0.125 -1.000 -0.375
[3,] -0.750 -0.125 -0.875 -0.500  0.250  0.625
[4,] -0.625  0.250 -0.375  1.000  0.125 -0.750
[5,]  0.500  0.875 -0.125 -0.750 -0.375 -1.000
[6,]  1.000 -0.375 -0.250  0.625 -0.875  0.500
[7,]  0.250 -0.625  1.000 -0.375  0.750 -0.125
[8,]  0.125  0.750  0.500  0.875  0.625  0.250
[9,]  0.000  0.000  0.000  0.000  0.000  0.000
[10,]  0.375 -1.000 -0.625  0.250  0.500 -0.875
[11,]  0.875  0.500 -0.750 -0.125  1.000  0.375
[12,]  0.750  0.125  0.875  0.500 -0.250 -0.625
[13,]  0.625 -0.250  0.375 -1.000 -0.125  0.750
[14,] -0.500 -0.875  0.125  0.750  0.375  1.000
[15,] -1.000  0.375  0.250 -0.625  0.875 -0.500
[16,] -0.250  0.625 -1.000  0.375 -0.750  0.125
[17,] -0.125 -0.750 -0.500 -0.875 -0.625 -0.250

[[3]]
[,1]   [,2]   [,3]   [,4]   [,5]   [,6]   [,7]
[1,] -0.375  1.000  0.625 -0.250 -0.500  0.875  0.125
[2,] -0.875 -0.500  0.750  0.125 -1.000 -0.375  0.250
[3,] -0.750 -0.125 -0.875 -0.500  0.250  0.625  1.000
[4,] -0.625  0.250 -0.375  1.000  0.125 -0.750  0.500
[5,]  0.500  0.875 -0.125 -0.750 -0.375 -1.000  0.625
[6,]  1.000 -0.375 -0.250  0.625 -0.875  0.500  0.750
[7,]  0.250 -0.625  1.000 -0.375  0.750 -0.125  0.875
[8,]  0.125  0.750  0.500  0.875  0.625  0.250  0.375
[9,]  0.000  0.000  0.000  0.000  0.000  0.000  0.000
[10,]  0.375 -1.000 -0.625  0.250  0.500 -0.875 -0.125
[11,]  0.875  0.500 -0.750 -0.125  1.000  0.375 -0.250
[12,]  0.750  0.125  0.875  0.500 -0.250 -0.625 -1.000
[13,]  0.625 -0.250  0.375 -1.000 -0.125  0.750 -0.500
[14,] -0.500 -0.875  0.125  0.750  0.375  1.000 -0.625
[15,] -1.000  0.375  0.250 -0.625  0.875 -0.500 -0.750
[16,] -0.250  0.625 -1.000  0.375 -0.750  0.125 -0.875
[17,] -0.125 -0.750 -0.500 -0.875 -0.625 -0.250 -0.375

[[4]]
[,1]    [,2]    [,3]    [,4]    [,5]    [,6]    [,7]    [,8]
[1,]  1.0000 -0.8125 -0.1250 -0.6250  0.7500  0.2500  0.3750 -0.0625
[2,]  0.8125  1.0000 -0.7500 -0.2500 -0.0625 -0.6250  0.5000 -0.3750
[3,]  0.7500 -0.1250  0.8125 -0.6875 -0.9375  0.1875  0.4375 -0.9375
[4,]  0.1250  0.7500  1.0000 -0.1875  0.8750 -0.6875  0.6250 -0.8750
[5,]  0.8750 -0.9375 -0.0625 -0.5625  0.3750  0.4375 -0.1875  0.1250
[6,]  0.9375  0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875  0.7500
[7,]  0.3750 -0.0625  0.9375 -0.5000 -1.0000  0.3125 -0.2500  0.8125
[8,]  0.0625  0.3750  0.8750 -0.3125  0.8125 -0.5000 -0.5625  1.0000
[9,]  0.3125 -0.5000 -0.5625  0.0625  0.4375 -0.3750 -1.0000 -0.6250
[10,]  0.5000  0.3125 -0.4375  0.3750 -0.5625  0.0625 -0.8125 -0.2500
[11,]  0.4375 -0.5625  0.5000  0.9375 -0.3125 -0.8750 -0.7500 -0.6875
[12,]  0.5625  0.4375  0.3125  0.8750  0.5000  0.9375 -0.0625 -0.1875
[13,]  0.1875 -0.6875 -0.6250  0.1250  0.1875 -0.7500  0.9375  0.5625
[14,]  0.6875  0.1875 -0.2500  0.7500 -0.6875  0.1250  0.8750  0.4375
[15,]  0.2500 -0.6250  0.6875  0.8125 -0.2500 -1.0000  0.3125  0.5000
[16,]  0.6250  0.2500  0.1875  1.0000  0.6250  0.8125  0.1250  0.3125
[17,]  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000
[18,] -1.0000  0.8125  0.1250  0.6250 -0.7500 -0.2500 -0.3750  0.0625
[19,] -0.8125 -1.0000  0.7500  0.2500  0.0625  0.6250 -0.5000  0.3750
[20,] -0.7500  0.1250 -0.8125  0.6875  0.9375 -0.1875 -0.4375  0.9375
[21,] -0.1250 -0.7500 -1.0000  0.1875 -0.8750  0.6875 -0.6250  0.8750
[22,] -0.8750  0.9375  0.0625  0.5625 -0.3750 -0.4375  0.1875 -0.1250
[23,] -0.9375 -0.8750  0.3750  0.4375  0.1250  0.5625  0.6875 -0.7500
[24,] -0.3750  0.0625 -0.9375  0.5000  1.0000 -0.3125  0.2500 -0.8125
[25,] -0.0625 -0.3750 -0.8750  0.3125 -0.8125  0.5000  0.5625 -1.0000
[26,] -0.3125  0.5000  0.5625 -0.0625 -0.4375  0.3750  1.0000  0.6250
[27,] -0.5000 -0.3125  0.4375 -0.3750  0.5625 -0.0625  0.8125  0.2500
[28,] -0.4375  0.5625 -0.5000 -0.9375  0.3125  0.8750  0.7500  0.6875
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375  0.0625  0.1875
[30,] -0.1875  0.6875  0.6250 -0.1250 -0.1875  0.7500 -0.9375 -0.5625
[31,] -0.6875 -0.1875  0.2500 -0.7500  0.6875 -0.1250 -0.8750 -0.4375
[32,] -0.2500  0.6250 -0.6875 -0.8125  0.2500  1.0000 -0.3125 -0.5000
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125

[[5]]
[,1]    [,2]    [,3]    [,4]    [,5]    [,6]    [,7]    [,8]    [,9]
[1,]  1.0000 -0.8125 -0.1250 -0.6250  0.7500  0.2500  0.3750 -0.0625  1.0000
[2,]  0.8125  1.0000 -0.7500 -0.2500 -0.0625 -0.6250  0.5000 -0.3750  0.8125
[3,]  0.7500 -0.1250  0.8125 -0.6875 -0.9375  0.1875  0.4375 -0.9375 -0.3750
[4,]  0.1250  0.7500  1.0000 -0.1875  0.8750 -0.6875  0.6250 -0.8750 -0.1250
[5,]  0.8750 -0.9375 -0.0625 -0.5625  0.3750  0.4375 -0.1875  0.1250 -0.8750
[6,]  0.9375  0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875  0.7500 -0.9375
[7,]  0.3750 -0.0625  0.9375 -0.5000 -1.0000  0.3125 -0.2500  0.8125  0.7500
[8,]  0.0625  0.3750  0.8750 -0.3125  0.8125 -0.5000 -0.5625  1.0000  0.0625
[9,]  0.3125 -0.5000 -0.5625  0.0625  0.4375 -0.3750 -1.0000 -0.6250  0.1875
[10,]  0.5000  0.3125 -0.4375  0.3750 -0.5625  0.0625 -0.8125 -0.2500  0.6875
[11,]  0.4375 -0.5625  0.5000  0.9375 -0.3125 -0.8750 -0.7500 -0.6875 -0.2500
[12,]  0.5625  0.4375  0.3125  0.8750  0.5000  0.9375 -0.0625 -0.1875 -0.5625
[13,]  0.1875 -0.6875 -0.6250  0.1250  0.1875 -0.7500  0.9375  0.5625 -0.3125
[14,]  0.6875  0.1875 -0.2500  0.7500 -0.6875  0.1250  0.8750  0.4375 -0.5000
[15,]  0.2500 -0.6250  0.6875  0.8125 -0.2500 -1.0000  0.3125  0.5000  0.4375
[16,]  0.6250  0.2500  0.1875  1.0000  0.6250  0.8125  0.1250  0.3125  0.6250
[17,]  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000  0.0000
[18,] -1.0000  0.8125  0.1250  0.6250 -0.7500 -0.2500 -0.3750  0.0625 -1.0000
[19,] -0.8125 -1.0000  0.7500  0.2500  0.0625  0.6250 -0.5000  0.3750 -0.8125
[20,] -0.7500  0.1250 -0.8125  0.6875  0.9375 -0.1875 -0.4375  0.9375  0.3750
[21,] -0.1250 -0.7500 -1.0000  0.1875 -0.8750  0.6875 -0.6250  0.8750  0.1250
[22,] -0.8750  0.9375  0.0625  0.5625 -0.3750 -0.4375  0.1875 -0.1250  0.8750
[23,] -0.9375 -0.8750  0.3750  0.4375  0.1250  0.5625  0.6875 -0.7500  0.9375
[24,] -0.3750  0.0625 -0.9375  0.5000  1.0000 -0.3125  0.2500 -0.8125 -0.7500
[25,] -0.0625 -0.3750 -0.8750  0.3125 -0.8125  0.5000  0.5625 -1.0000 -0.0625
[26,] -0.3125  0.5000  0.5625 -0.0625 -0.4375  0.3750  1.0000  0.6250 -0.1875
[27,] -0.5000 -0.3125  0.4375 -0.3750  0.5625 -0.0625  0.8125  0.2500 -0.6875
[28,] -0.4375  0.5625 -0.5000 -0.9375  0.3125  0.8750  0.7500  0.6875  0.2500
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375  0.0625  0.1875  0.5625
[30,] -0.1875  0.6875  0.6250 -0.1250 -0.1875  0.7500 -0.9375 -0.5625  0.3125
[31,] -0.6875 -0.1875  0.2500 -0.7500  0.6875 -0.1250 -0.8750 -0.4375  0.5000
[32,] -0.2500  0.6250 -0.6875 -0.8125  0.2500  1.0000 -0.3125 -0.5000 -0.4375
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125 -0.6250
```

DiceDesign documentation built on Feb. 13, 2021, 1:06 a.m.