Rule 105
1 - Matrix
for n=7
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c=0 | c=1
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2 - Number of different rows and columns
For different center values 0 and 1, and for different n=1,2,..,12.
(r0) 2 2 2 2 2 2 2 2 2 2 2 2
(c0) 2 2 2 2 2 2 2 2 2 2 2 2
(r1) 2 2 2 2 2 2 2 2 2 2 2 2
(r1) 2 2 2 2 2 2 2 2 2 2 2 2
Maximal of the numbers above (dn)
3 - Time evolution diagram
Time goes upwards. The values of the initial configuration can be
changed by clicking on the bottom row. A grey cell means that its value
is not specified.
4 - Local rule
A dot stands for an unspecified cell.
1 1 1 . . . . . .
000 011 110 01. 0.. 1.0 .00 .10 ..0
0 0 0 . . . . . .
001 100 111 0.0 10. 1.1 .01 .11 ..1
0 1 . . . . . . .
010 101 00. 0.1 11. 1.. .0. .1. ...
5 - Sensitivity
The sensibility of a cell is computed as follows. For every row n
in the diagram, the upper center cell depends on the 2n+1 cells of
row n. Let w in {0,1}2n+1 be a bit string with a single
1, selecting a cell. We compute the proportion of bitstrings u in
{0,1}2n+1 such that fn(u) =/= fn(u and
w). If it is 0, we color the cell yellow, otherwise we choose a color
between red and black depending on the proportion, 1 beeing black.
6 - Symetric rules
reflexive | 105
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conjugate | 105
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reflexive conjugate | 105
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