Re: Random posts 2
Posted: May 7th, 2021, 9:47 am
Where are cellular automata archaeologists?
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The conversion between this and the Hensel notation for isotropic non-totalistic Life-like cellular automata is listed below.
This definition stems from a kind of weighted CA with weights
The 25 possibilities (sum of any of which is an integer between 0~24) may also be listed directly and each place is assigned a 0 or 1.
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A hexagonal equivalent uses the following neighbourhood:
EDIT one year later: for more information see this much earlier summary: viewtopic.php?f=11&t=936 This is also a nice role model for my proposal.
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The idea was described in detail at the (currently down) Modern Cellular Automata Words here. Here the characters "a" to "e" are used to indicate the number of side neighbors in the rule. "a" corresponds to zero side neighbors, while "e" corresponds to four side neighbors.Naszvadi wrote: April 22nd, 2019, 7:10 am Moore-neighbourhood, E^2 lattice:
There is a nontrivial set of cellular automata rules between isotropic nontotalistic and outer-totalistic set, where only the number of diagonal and orthogonal neigbours count. Using Hensel-notation, only the following rulestring parts are valid in a birth or survival section:and so on.
- 0 diagonal, 0 orthogonal: 0
- 1 d., 0 o.: 1c
- 0 d., 1 o.: 1e
- 2 d., 0 o.: 2cn
- 1 d., 1 o.: 2ak
- 0 d., 2 o.: 2ei
- 3 d., 0 o.: 3c
- 2 d., 1 o.: 3inqy
- 1 d., 2 o.: 3akjr
- 0 d., 3 o.: 3e
- ...
Code: Select all
0a
1ab
2abc
3abcd
4abcde
5bcde
6cde
7de
8e
Code: Select all
0a = 0
1a = 1c
1b = 1e
2a = 2cn
2b = 2ak
2c = 2ei
3a = 3c
3b = 3inqy
3c = 3ajkr
3d = 3e
4a = 4c
4b = 4ny
4c = 4aikqtwz
4d = 4jr
4e = 4e
5b = 5e
5c = 5ajkr
5d = 5inqy
5e = 5c
6c = 6ei
6d = 6ak
6e = 6cn
7d = 7e
7e = 7c
8e = 8
Code: Select all
1 5 1
5 * 5
1 5 1
Code: Select all
0a1a2a3a4a.1b2b3b4b5b.2c3c4c5c6c.3d4d5d6d7d.4e5e6e7e8e.A hexagonal equivalent uses the following neighbourhood:
Code: Select all
x = 5, y = 5, rule = B/S0123456H
bo$4o$bobo$b4o$3bo!
#C [[ THUMBNAIL THUMBSIZE 4 ZOOM 64 VIEWONLY GRID ]]