An artistic pattern based on Nim addition table

[Gerald McGarvey]

Seqfans,

The following pattern of colors (which I hope you find pleasing) is based 
on a Nim addition table
for n = 0 to 31, m = 0 to 31. The color mapping starts with red = 0 then 
goes around the spectrum
as the value of the nimber increases, yellow = 5, green = 10, cyan = 15, 
blue = 21, magenta = 26.
See A003987 - Table of n XOR m (or Nim-sum of n and m) read by antidiagonals,
i.e. with entries in the order (n,m) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...
http://www.research.att.com/~njas/sequences/A003987
(I got turned onto nimbers from reading 'The Book of Numbers' by Conway and 
Guy)

c9c2a3.jpg


To make the image I computed the values, put them into a web page that uses 
css to map the colors,
then used Paint Shop Pro to do a screen capture. Below are the values in 
the addition table. If there's an interest
I could put the web page on the internet. Images based on Nim 
multiplication, powers etc. might be nice.

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

Cheers,
Gerald 
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