in reply to Fractal structure index puzzle

Should the top left (20x20) block (of 64x64) at depth 3 look like this: 

3  2  2  2   1  0  0  0   1  0  0  0   1  0  0  0   2  1  1  1 ...
2  3  2  2   0  1  0  0   0  1  0  0   0  1  0  0   1  2  1  1 ...
2  2  3  2   0  0  1  0   0  0  1  0   0  0  1  0   1  1  2  1 ...
2  2  2  3   0  0  0  1   0  0  0  1   0  0  0  1   1  1  1  2 ...

1  0  0  0   3  2  2  2   1  0  0  0   1  0  0  0   1  0  0  0 ...
0  1  0  0   2  3  2  2   0  1  0  0   0  1  0  0   0  1  0  0 ...
0  0  1  0   2  2  3  2   0  0  1  0   0  0  1  0   0  0  1  0 ...
0  0  0  1   2  2  2  3   0  0  0  1   0  0  0  1   0  0  0  1 ...

1  0  0  0   1  0  0  0   3  2  2  2   1  0  0  0   1  0  0  0 ...
0  1  0  0   0  1  0  0   2  3  2  2   0  1  0  0   0  1  0  0 ...
0  0  1  0   0  0  1  0   2  2  3  2   0  0  1  0   0  0  1  0 ...
0  0  0  1   0  0  0  1   2  2  2  3   0  0  0  1   0  0  0  1 ...

1  0  0  0   1  0  0  0   1  0  0  0   3  2  2  2   1  0  0  0 ...
0  1  0  0   0  1  0  0   0  1  0  0   2  3  2  2   0  1  0  0 ...
0  0  1  0   0  0  1  0   0  0  1  0   2  2  3  2   0  0  1  0 ...
0  0  0  1   0  0  0  1   0  0  0  1   2  2  2  3   0  0  0  1 ...

2  1  1  1   1  0  0  0   1  0  0  0   1  0  0  0   3  2  2  2 ...
1  2  1  1   0  1  0  0   0  1  0  0   0  1  0  0   2  3  2  2 ...
1  1  2  1   0  0  1  0   0  0  1  0   0  0  1  0   2  2  3  2 ...
1  1  1  2   0  0  0  1   0  0  0  1   0  0  0  1   2  2  2  3 ...

   ...

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Or like this: 

3  2  2  2   2  1  1  1   2  1  1  1   2  1  1  1   2  1  1  1 ...
2  3  2  2   1  2  1  1   1  2  1  1   1  2  1  1   1  2  1  1 ...
2  2  3  2   1  1  2  1   1  1  2  1   1  1  2  1   1  1  2  1 ...
2  2  2  3   1  1  1  2   1  1  1  2   1  1  1  2   1  1  1  2 ...

2  1  1  1   3  2  2  2   2  1  1  1   2  1  1  1   1  0  0  0 ...
1  2  1  1   2  3  2  2   1  2  1  1   1  2  1  1   0  1  0  0 ...
1  1  2  1   2  2  3  2   1  1  2  1   1  1  2  1   0  0  1  0 ...
1  1  1  2   2  2  2  3   1  1  1  2   1  1  1  2   0  0  0  1 ...

2  1  1  1   2  1  1  1   3  2  2  2   2  1  1  1   1  0  0  0 ...
1  2  1  1   1  2  1  1   2  3  2  2   1  2  1  1   0  1  0  0 ...
1  1  2  1   1  1  2  1   2  2  3  2   1  1  2  1   0  0  1  0 ...
1  1  1  2   1  1  1  2   2  2  2  3   1  1  1  2   0  0  0  1 ...

2  1  1  1   2  1  1  1   2  1  1  1   3  2  2  2   1  0  0  0 ...
1  2  1  1   1  2  1  1   1  2  1  1   2  3  2  2   0  1  0  0 ...
1  1  2  1   1  1  2  1   1  1  2  1   2  2  3  2   0  0  1  0 ...
1  1  1  2   1  1  1  2   1  1  1  2   2  2  2  3   0  0  0  1 ...

2  1  1  1   1  0  0  0   1  0  0  0   1  0  0  0   3  2  2  2 ...
1  2  1  1   0  1  0  0   0  1  0  0   0  1  0  0   2  3  2  2 ...
1  1  2  1   0  0  1  0   0  0  1  0   0  0  1  0   2  2  3  2 ...
1  1  1  2   0  0  0  1   0  0  0  1   0  0  0  1   2  2  2  3 ...

 ...

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Re^2: Fractal structure index puzzle
by FFRANK (Beadle) on Jul 19, 2007 at 13:41 UTC
    The leftmost 20x20 corner at depth 3 should look like this (second one):
    3 2 2 2 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1
    2 3 2 2 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1
    2 2 3 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1
    2 2 2 3 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2
    2 1 1 1 3 2 2 2 2 1 1 1 2 1 1 1 1 0 0 0
    1 2 1 1 2 3 2 2 1 2 1 1 1 2 1 1 0 1 0 0
    1 1 2 1 2 2 3 2 1 1 2 1 1 1 2 1 0 0 1 0
    1 1 1 2 2 2 2 3 1 1 1 2 1 1 1 2 0 0 0 1
    2 1 1 1 2 1 1 1 3 2 2 2 2 1 1 1 1 0 0 0
    1 2 1 1 1 2 1 1 2 3 2 2 1 2 1 1 0 1 0 0
    1 1 2 1 1 1 2 1 2 2 3 2 1 1 2 1 0 0 1 0
    1 1 1 2 1 1 1 2 2 2 2 3 1 1 1 2 0 0 0 1
    2 1 1 1 2 1 1 1 2 1 1 1 3 2 2 2 1 0 0 0
    1 2 1 1 1 2 1 1 1 2 1 1 2 3 2 2 0 1 0 0
    1 1 2 1 1 1 2 1 1 1 2 1 2 2 3 2 0 0 1 0
    1 1 1 2 1 1 1 2 1 1 1 2 2 2 2 3 0 0 0 1
    2 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 3 2 2 2
    1 2 1 1 0 1 0 0 0 1 0 0 0 1 0 0 2 3 2 2
    1 1 2 1 0 0 1 0 0 0 1 0 0 0 1 0 2 2 3 2
    1 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1 2 2 2 3

    Frank
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