X-Rule

For discussion of other cellular automata.
jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

X-Rule

A New Cellular Automata capable of logic Universality: X-Rule.

X-Rule is 2D, binary with a Moore Neighborhood like Game of Life, but
is no based on birth/survival and is non-isotropic.

for more details see:
http://arxiv.org/abs/1504.01434

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: X-Rule

Hm... I tried to make a Golly ruletable for the X-rule based on Figure 12 in the paper, but it didn't quite work out.

I took 'descending order of neighborhood values' to mean counting down, in binary, from 111111111 to 000000000 - where the first digit represents the current cell and the remaining eight represent its Moore neighborhood - matching each row of the image to 64 numbers. (e.g. the first row, 0001001001100000000000010000010000101000011110100000010000010011, went to the neighbor counts 111111111 through 111000000.)

Code: Select all

@RULE not-x-rule
@TABLE

To open this rule, hit 'select all', copy it, then paste into Golly

n_states:2
neighborhood:Moore
symmetries:none

# The first digit represents the current cell, the next eight its Moore neighborhood, and the final digit determines that configuration's output
1,1,1,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,0,0
1,1,1,1,1,1,1,0,1,0
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,1,0,1,1,0
1,1,1,1,1,1,0,1,0,0
1,1,1,1,1,1,0,0,1,1
1,1,1,1,1,1,0,0,0,0
1,1,1,1,1,0,1,1,1,0
1,1,1,1,1,0,1,1,0,1
1,1,1,1,1,0,1,0,1,1
1,1,1,1,1,0,1,0,0,0
1,1,1,1,1,0,0,1,1,0
1,1,1,1,1,0,0,1,0,0
1,1,1,1,1,0,0,0,1,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,1,1,1,0
1,1,1,1,0,1,1,1,0,0
1,1,1,1,0,1,1,0,1,0
1,1,1,1,0,1,1,0,0,0
1,1,1,1,0,1,0,1,1,0
1,1,1,1,0,1,0,1,0,0
1,1,1,1,0,1,0,0,1,0
1,1,1,1,0,1,0,0,0,1
1,1,1,1,0,0,1,1,1,0
1,1,1,1,0,0,1,1,0,0
1,1,1,1,0,0,1,0,1,0
1,1,1,1,0,0,1,0,0,0
1,1,1,1,0,0,0,1,1,0
1,1,1,1,0,0,0,1,0,1
1,1,1,1,0,0,0,0,1,0
1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,1,1,1,1,0
1,1,1,0,1,1,1,1,0,0
1,1,1,0,1,1,1,0,1,1
1,1,1,0,1,1,1,0,0,0
1,1,1,0,1,1,0,1,1,1
1,1,1,0,1,1,0,1,0,0
1,1,1,0,1,1,0,0,1,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,1,1,0
1,1,1,0,1,0,1,1,0,1
1,1,1,0,1,0,1,0,1,1
1,1,1,0,1,0,1,0,0,1
1,1,1,0,1,0,0,1,1,1
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,1
1,1,1,0,1,0,0,0,0,0
1,1,1,0,0,1,1,1,1,0
1,1,1,0,0,1,1,1,0,0
1,1,1,0,0,1,1,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,1,0
1,1,1,0,0,1,0,1,0,1
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,1,0,0,0,0
1,1,1,0,0,0,1,1,1,0
1,1,1,0,0,0,1,1,0,0
1,1,1,0,0,0,1,0,1,0
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,1,0
1,1,1,0,0,0,0,1,0,0
1,1,1,0,0,0,0,0,1,1
1,1,1,0,0,0,0,0,0,1
1,1,0,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,0,0
1,1,0,1,1,1,1,0,1,0
1,1,0,1,1,1,1,0,0,0
1,1,0,1,1,1,0,1,1,0
1,1,0,1,1,1,0,1,0,0
1,1,0,1,1,1,0,0,1,0
1,1,0,1,1,1,0,0,0,0
1,1,0,1,1,0,1,1,1,1
1,1,0,1,1,0,1,1,0,0
1,1,0,1,1,0,1,0,1,0
1,1,0,1,1,0,1,0,0,0
1,1,0,1,1,0,0,1,1,0
1,1,0,1,1,0,0,1,0,0
1,1,0,1,1,0,0,0,1,1
1,1,0,1,1,0,0,0,0,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,0,1,1,1,0,0
1,1,0,1,0,1,1,0,1,0
1,1,0,1,0,1,1,0,0,1
1,1,0,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,0,0
1,1,0,1,0,1,0,0,1,0
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,1,1,0
1,1,0,1,0,0,1,1,0,0
1,1,0,1,0,0,1,0,1,0
1,1,0,1,0,0,1,0,0,0
1,1,0,1,0,0,0,1,1,0
1,1,0,1,0,0,0,1,0,1
1,1,0,1,0,0,0,0,1,0
1,1,0,1,0,0,0,0,0,0
1,1,0,0,1,1,1,1,1,0
1,1,0,0,1,1,1,1,0,0
1,1,0,0,1,1,1,0,1,0
1,1,0,0,1,1,1,0,0,0
1,1,0,0,1,1,0,1,1,0
1,1,0,0,1,1,0,1,0,0
1,1,0,0,1,1,0,0,1,0
1,1,0,0,1,1,0,0,0,0
1,1,0,0,1,0,1,1,1,1
1,1,0,0,1,0,1,1,0,0
1,1,0,0,1,0,1,0,1,1
1,1,0,0,1,0,1,0,0,0
1,1,0,0,1,0,0,1,1,0
1,1,0,0,1,0,0,1,0,0
1,1,0,0,1,0,0,0,1,0
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,1,1,1,0
1,1,0,0,0,1,1,1,0,0
1,1,0,0,0,1,1,0,1,1
1,1,0,0,0,1,1,0,0,0
1,1,0,0,0,1,0,1,1,0
1,1,0,0,0,1,0,1,0,1
1,1,0,0,0,1,0,0,1,0
1,1,0,0,0,1,0,0,0,0
1,1,0,0,0,0,1,1,1,0
1,1,0,0,0,0,1,1,0,0
1,1,0,0,0,0,1,0,1,0
1,1,0,0,0,0,1,0,0,0
1,1,0,0,0,0,0,1,1,0
1,1,0,0,0,0,0,1,0,0
1,1,0,0,0,0,0,0,1,0
1,1,0,0,0,0,0,0,0,0
1,0,1,1,1,1,1,1,1,0
1,0,1,1,1,1,1,1,0,0
1,0,1,1,1,1,1,0,1,0
1,0,1,1,1,1,1,0,0,1
1,0,1,1,1,1,0,1,1,0
1,0,1,1,1,1,0,1,0,0
1,0,1,1,1,1,0,0,1,1
1,0,1,1,1,1,0,0,0,1
1,0,1,1,1,0,1,1,1,1
1,0,1,1,1,0,1,1,0,0
1,0,1,1,1,0,1,0,1,1
1,0,1,1,1,0,1,0,0,1
1,0,1,1,1,0,0,1,1,0
1,0,1,1,1,0,0,1,0,0
1,0,1,1,1,0,0,0,1,1
1,0,1,1,1,0,0,0,0,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,0,1,1,1,0,0
1,0,1,1,0,1,1,0,1,0
1,0,1,1,0,1,1,0,0,0
1,0,1,1,0,1,0,1,1,0
1,0,1,1,0,1,0,1,0,0
1,0,1,1,0,1,0,0,1,0
1,0,1,1,0,1,0,0,0,0
1,0,1,1,0,0,1,1,1,0
1,0,1,1,0,0,1,1,0,0
1,0,1,1,0,0,1,0,1,0
1,0,1,1,0,0,1,0,0,1
1,0,1,1,0,0,0,1,1,1
1,0,1,1,0,0,0,1,0,0
1,0,1,1,0,0,0,0,1,0
1,0,1,1,0,0,0,0,0,0
1,0,1,0,1,1,1,1,1,1
1,0,1,0,1,1,1,1,0,0
1,0,1,0,1,1,1,0,1,1
1,0,1,0,1,1,1,0,0,1
1,0,1,0,1,1,0,1,1,0
1,0,1,0,1,1,0,1,0,0
1,0,1,0,1,1,0,0,1,1
1,0,1,0,1,1,0,0,0,0
1,0,1,0,1,0,1,1,1,1
1,0,1,0,1,0,1,1,0,1
1,0,1,0,1,0,1,0,1,0
1,0,1,0,1,0,1,0,0,0
1,0,1,0,1,0,0,1,1,1
1,0,1,0,1,0,0,1,0,0
1,0,1,0,1,0,0,0,1,0
1,0,1,0,1,0,0,0,0,0
1,0,1,0,0,1,1,1,1,0
1,0,1,0,0,1,1,1,0,1
1,0,1,0,0,1,1,0,1,0
1,0,1,0,0,1,1,0,0,0
1,0,1,0,0,1,0,1,1,0
1,0,1,0,0,1,0,1,0,0
1,0,1,0,0,1,0,0,1,1
1,0,1,0,0,1,0,0,0,0
1,0,1,0,0,0,1,1,1,0
1,0,1,0,0,0,1,1,0,0
1,0,1,0,0,0,1,0,1,0
1,0,1,0,0,0,1,0,0,1
1,0,1,0,0,0,0,1,1,0
1,0,1,0,0,0,0,1,0,0
1,0,1,0,0,0,0,0,1,1
1,0,1,0,0,0,0,0,0,1
1,0,0,1,1,1,1,1,1,1
1,0,0,1,1,1,1,1,0,0
1,0,0,1,1,1,1,0,1,1
1,0,0,1,1,1,1,0,0,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,0,1,0,0
1,0,0,1,1,1,0,0,1,0
1,0,0,1,1,1,0,0,0,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,0,1,1,0,0
1,0,0,1,1,0,1,0,1,1
1,0,0,1,1,0,1,0,0,0
1,0,0,1,1,0,0,1,1,0
1,0,0,1,1,0,0,1,0,0
1,0,0,1,1,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1
1,0,0,1,0,1,1,1,1,0
1,0,0,1,0,1,1,1,0,1
1,0,0,1,0,1,1,0,1,0
1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,1,0,1,1,0
1,0,0,1,0,1,0,1,0,1
1,0,0,1,0,1,0,0,1,0
1,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,1,1,1,0
1,0,0,1,0,0,1,1,0,0
1,0,0,1,0,0,1,0,1,1
1,0,0,1,0,0,1,0,0,0
1,0,0,1,0,0,0,1,1,0
1,0,0,1,0,0,0,1,0,0
1,0,0,1,0,0,0,0,1,0
1,0,0,1,0,0,0,0,0,0
1,0,0,0,1,1,1,1,1,0
1,0,0,0,1,1,1,1,0,0
1,0,0,0,1,1,1,0,1,1
1,0,0,0,1,1,1,0,0,0
1,0,0,0,1,1,0,1,1,1
1,0,0,0,1,1,0,1,0,0
1,0,0,0,1,1,0,0,1,0
1,0,0,0,1,1,0,0,0,0
1,0,0,0,1,0,1,1,1,1
1,0,0,0,1,0,1,1,0,0
1,0,0,0,1,0,1,0,1,0
1,0,0,0,1,0,1,0,0,0
1,0,0,0,1,0,0,1,1,0
1,0,0,0,1,0,0,1,0,0
1,0,0,0,1,0,0,0,1,1
1,0,0,0,1,0,0,0,0,1
1,0,0,0,0,1,1,1,1,0
1,0,0,0,0,1,1,1,0,0
1,0,0,0,0,1,1,0,1,0
1,0,0,0,0,1,1,0,0,0
1,0,0,0,0,1,0,1,1,0
1,0,0,0,0,1,0,1,0,0
1,0,0,0,0,1,0,0,1,0
1,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,1,1,1,1
1,0,0,0,0,0,1,1,0,0
1,0,0,0,0,0,1,0,1,1
1,0,0,0,0,0,1,0,0,1
1,0,0,0,0,0,0,1,1,0
1,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,1,1,1,0
0,1,1,1,1,1,1,1,0,0
0,1,1,1,1,1,1,0,1,0
0,1,1,1,1,1,1,0,0,0
0,1,1,1,1,1,0,1,1,0
0,1,1,1,1,1,0,1,0,0
0,1,1,1,1,1,0,0,1,0
0,1,1,1,1,1,0,0,0,0
0,1,1,1,1,0,1,1,1,0
0,1,1,1,1,0,1,1,0,0
0,1,1,1,1,0,1,0,1,0
0,1,1,1,1,0,1,0,0,0
0,1,1,1,1,0,0,1,1,0
0,1,1,1,1,0,0,1,0,0
0,1,1,1,1,0,0,0,1,0
0,1,1,1,1,0,0,0,0,0
0,1,1,1,0,1,1,1,1,0
0,1,1,1,0,1,1,1,0,0
0,1,1,1,0,1,1,0,1,0
0,1,1,1,0,1,1,0,0,0
0,1,1,1,0,1,0,1,1,0
0,1,1,1,0,1,0,1,0,0
0,1,1,1,0,1,0,0,1,1
0,1,1,1,0,1,0,0,0,1
0,1,1,1,0,0,1,1,1,0
0,1,1,1,0,0,1,1,0,0
0,1,1,1,0,0,1,0,1,1
0,1,1,1,0,0,1,0,0,0
0,1,1,1,0,0,0,1,1,0
0,1,1,1,0,0,0,1,0,1
0,1,1,1,0,0,0,0,1,0
0,1,1,1,0,0,0,0,0,0
0,1,1,0,1,1,1,1,1,1
0,1,1,0,1,1,1,1,0,0
0,1,1,0,1,1,1,0,1,0
0,1,1,0,1,1,1,0,0,1
0,1,1,0,1,1,0,1,1,0
0,1,1,0,1,1,0,1,0,0
0,1,1,0,1,1,0,0,1,0
0,1,1,0,1,1,0,0,0,0
0,1,1,0,1,0,1,1,1,1
0,1,1,0,1,0,1,1,0,0
0,1,1,0,1,0,1,0,1,1
0,1,1,0,1,0,1,0,0,0
0,1,1,0,1,0,0,1,1,0
0,1,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,1,0
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,1,1,1,0
0,1,1,0,0,1,1,1,0,0
0,1,1,0,0,1,1,0,1,0
0,1,1,0,0,1,1,0,0,0
0,1,1,0,0,1,0,1,1,1
0,1,1,0,0,1,0,1,0,1
0,1,1,0,0,1,0,0,1,0
0,1,1,0,0,1,0,0,0,0
0,1,1,0,0,0,1,1,1,0
0,1,1,0,0,0,1,1,0,0
0,1,1,0,0,0,1,0,1,0
0,1,1,0,0,0,1,0,0,0
0,1,1,0,0,0,0,1,1,0
0,1,1,0,0,0,0,1,0,0
0,1,1,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,0,0
0,1,0,1,1,1,1,1,1,0
0,1,0,1,1,1,1,1,0,0
0,1,0,1,1,1,1,0,1,0
0,1,0,1,1,1,1,0,0,0
0,1,0,1,1,1,0,1,1,0
0,1,0,1,1,1,0,1,0,0
0,1,0,1,1,1,0,0,1,0
0,1,0,1,1,1,0,0,0,0
0,1,0,1,1,0,1,1,1,0
0,1,0,1,1,0,1,1,0,0
0,1,0,1,1,0,1,0,1,0
0,1,0,1,1,0,1,0,0,0
0,1,0,1,1,0,0,1,1,0
0,1,0,1,1,0,0,1,0,0
0,1,0,1,1,0,0,0,1,0
0,1,0,1,1,0,0,0,0,1
0,1,0,1,0,1,1,1,1,0
0,1,0,1,0,1,1,1,0,0
0,1,0,1,0,1,1,0,1,0
0,1,0,1,0,1,1,0,0,1
0,1,0,1,0,1,0,1,1,0
0,1,0,1,0,1,0,1,0,0
0,1,0,1,0,1,0,0,1,1
0,1,0,1,0,1,0,0,0,0
0,1,0,1,0,0,1,1,1,1
0,1,0,1,0,0,1,1,0,1
0,1,0,1,0,0,1,0,1,0
0,1,0,1,0,0,1,0,0,0
0,1,0,1,0,0,0,1,1,1
0,1,0,1,0,0,0,1,0,0
0,1,0,1,0,0,0,0,1,0
0,1,0,1,0,0,0,0,0,1
0,1,0,0,1,1,1,1,1,0
0,1,0,0,1,1,1,1,0,0
0,1,0,0,1,1,1,0,1,0
0,1,0,0,1,1,1,0,0,0
0,1,0,0,1,1,0,1,1,0
0,1,0,0,1,1,0,1,0,0
0,1,0,0,1,1,0,0,1,0
0,1,0,0,1,1,0,0,0,1
0,1,0,0,1,0,1,1,1,0
0,1,0,0,1,0,1,1,0,0
0,1,0,0,1,0,1,0,1,0
0,1,0,0,1,0,1,0,0,0
0,1,0,0,1,0,0,1,1,0
0,1,0,0,1,0,0,1,0,0
0,1,0,0,1,0,0,0,1,0
0,1,0,0,1,0,0,0,0,1
0,1,0,0,0,1,1,1,1,1
0,1,0,0,0,1,1,1,0,1
0,1,0,0,0,1,1,0,1,0
0,1,0,0,0,1,1,0,0,0
0,1,0,0,0,1,0,1,1,1
0,1,0,0,0,1,0,1,0,0
0,1,0,0,0,1,0,0,1,0
0,1,0,0,0,1,0,0,0,1
0,1,0,0,0,0,1,1,1,0
0,1,0,0,0,0,1,1,0,0
0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,1,1,0
0,1,0,0,0,0,0,1,0,1
0,1,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,0
0,0,1,1,1,1,1,1,1,1
0,0,1,1,1,1,1,1,0,0
0,0,1,1,1,1,1,0,1,1
0,0,1,1,1,1,1,0,0,0
0,0,1,1,1,1,0,1,1,0
0,0,1,1,1,1,0,1,0,0
0,0,1,1,1,1,0,0,1,0
0,0,1,1,1,1,0,0,0,0
0,0,1,1,1,0,1,1,1,0
0,0,1,1,1,0,1,1,0,1
0,0,1,1,1,0,1,0,1,1
0,0,1,1,1,0,1,0,0,0
0,0,1,1,1,0,0,1,1,0
0,0,1,1,1,0,0,1,0,0
0,0,1,1,1,0,0,0,1,0
0,0,1,1,1,0,0,0,0,0
0,0,1,1,0,1,1,1,1,0
0,0,1,1,0,1,1,1,0,0
0,0,1,1,0,1,1,0,1,0
0,0,1,1,0,1,1,0,0,0
0,0,1,1,0,1,0,1,1,1
0,0,1,1,0,1,0,1,0,1
0,0,1,1,0,1,0,0,1,0
0,0,1,1,0,1,0,0,0,0
0,0,1,1,0,0,1,1,1,0
0,0,1,1,0,0,1,1,0,0
0,0,1,1,0,0,1,0,1,0
0,0,1,1,0,0,1,0,0,0
0,0,1,1,0,0,0,1,1,0
0,0,1,1,0,0,0,1,0,0
0,0,1,1,0,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0
0,0,1,0,1,1,1,1,1,0
0,0,1,0,1,1,1,1,0,0
0,0,1,0,1,1,1,0,1,1
0,0,1,0,1,1,1,0,0,0
0,0,1,0,1,1,0,1,1,0
0,0,1,0,1,1,0,1,0,0
0,0,1,0,1,1,0,0,1,0
0,0,1,0,1,1,0,0,0,1
0,0,1,0,1,0,1,1,1,1
0,0,1,0,1,0,1,1,0,0
0,0,1,0,1,0,1,0,1,0
0,0,1,0,1,0,1,0,0,1
0,0,1,0,1,0,0,1,1,0
0,0,1,0,1,0,0,1,0,0
0,0,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,0,0,1
0,0,1,0,0,1,1,1,1,0
0,0,1,0,0,1,1,1,0,0
0,0,1,0,0,1,1,0,1,1
0,0,1,0,0,1,1,0,0,0
0,0,1,0,0,1,0,1,1,0
0,0,1,0,0,1,0,1,0,0
0,0,1,0,0,1,0,0,1,0
0,0,1,0,0,1,0,0,0,0
0,0,1,0,0,0,1,1,1,1
0,0,1,0,0,0,1,1,0,0
0,0,1,0,0,0,1,0,1,1
0,0,1,0,0,0,1,0,0,0
0,0,1,0,0,0,0,1,1,0
0,0,1,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,1,1
0,0,1,0,0,0,0,0,0,0
0,0,0,1,1,1,1,1,1,0
0,0,0,1,1,1,1,1,0,0
0,0,0,1,1,1,1,0,1,1
0,0,0,1,1,1,1,0,0,0
0,0,0,1,1,1,0,1,1,0
0,0,0,1,1,1,0,1,0,0
0,0,0,1,1,1,0,0,1,0
0,0,0,1,1,1,0,0,0,0
0,0,0,1,1,0,1,1,1,0
0,0,0,1,1,0,1,1,0,0
0,0,0,1,1,0,1,0,1,0
0,0,0,1,1,0,1,0,0,1
0,0,0,1,1,0,0,1,1,0
0,0,0,1,1,0,0,1,0,1
0,0,0,1,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1
0,0,0,1,0,1,1,1,1,1
0,0,0,1,0,1,1,1,0,1
0,0,0,1,0,1,1,0,1,0
0,0,0,1,0,1,1,0,0,0
0,0,0,1,0,1,0,1,1,1
0,0,0,1,0,1,0,1,0,0
0,0,0,1,0,1,0,0,1,0
0,0,0,1,0,1,0,0,0,1
0,0,0,1,0,0,1,1,1,0
0,0,0,1,0,0,1,1,0,0
0,0,0,1,0,0,1,0,1,0
0,0,0,1,0,0,1,0,0,0
0,0,0,1,0,0,0,1,1,0
0,0,0,1,0,0,0,1,0,1
0,0,0,1,0,0,0,0,1,0
0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,1,1,1,1,0
0,0,0,0,1,1,1,1,0,0
0,0,0,0,1,1,1,0,1,0
0,0,0,0,1,1,1,0,0,0
0,0,0,0,1,1,0,1,1,0
0,0,0,0,1,1,0,1,0,1
0,0,0,0,1,1,0,0,1,1
0,0,0,0,1,1,0,0,0,1
0,0,0,0,1,0,1,1,1,0
0,0,0,0,1,0,1,1,0,1
0,0,0,0,1,0,1,0,1,0
0,0,0,0,1,0,1,0,0,1
0,0,0,0,1,0,0,1,1,1
0,0,0,0,1,0,0,1,0,1
0,0,0,0,1,0,0,0,1,1
0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,1,1,1,0
0,0,0,0,0,1,1,1,0,0
0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,1,1,0,0,0
0,0,0,0,0,1,0,1,1,0
0,0,0,0,0,1,0,1,0,1
0,0,0,0,0,1,0,0,1,0
0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,1,1,1,1
0,0,0,0,0,0,1,1,0,0
0,0,0,0,0,0,1,0,1,1
0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0
(note that this is unoptimized in a number of ways; for instance, 'stay-the-same' - 0->0 or 1->1 - transitions don't need to be specified, and there are ways of using variables to shrink the table's size)

Code: Select all

x = 43, y = 11, rule = not-x-rule
9b2o2b2o3b2o$8bo4b2o2bob2o5$3bo7b2o4bo23b2o$2bo7bo5bo8b2o5bo7bo$23bob
2o4bo$b2o6b2o4b2o5bo3bo4bo3bo5b2o$o7bo6b2o5bo11bo6bo!
When that didn't work, I tried reversing the order - counting up from 000000000 to 111111111. Still nothing.

Code: Select all

@RULE also-not-x-rule
@TABLE

n_states:2
neighborhood:Moore
symmetries:none

0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1
1,1,1,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,1
0,1,0,1,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0
0,1,1,0,1,0,0,0,0,0
1,1,1,0,1,0,0,0,0,1
0,0,0,1,1,0,0,0,0,0
1,0,0,1,1,0,0,0,0,0
0,1,0,1,1,0,0,0,0,0
1,1,0,1,1,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0
1,0,1,1,1,0,0,0,0,1
0,1,1,1,1,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,0,0,0,1
1,1,0,0,0,1,0,0,0,0
0,0,1,0,0,1,0,0,0,1
1,0,1,0,0,1,0,0,0,0
0,1,1,0,0,1,0,0,0,0
1,1,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,1,0,0,0,1
0,1,0,1,0,1,0,0,0,1
1,1,0,1,0,1,0,0,0,1
0,0,1,1,0,1,0,0,0,1
1,0,1,1,0,1,0,0,0,0
0,1,1,1,0,1,0,0,0,1
1,1,1,1,0,1,0,0,0,0
0,0,0,0,1,1,0,0,0,0
1,0,0,0,1,1,0,0,0,0
0,1,0,0,1,1,0,0,0,0
1,1,0,0,1,1,0,0,0,0
0,0,1,0,1,1,0,0,0,0
1,0,1,0,1,1,0,0,0,1
0,1,1,0,1,1,0,0,0,0
1,1,1,0,1,1,0,0,0,0
0,0,0,1,1,1,0,0,0,0
1,0,0,1,1,1,0,0,0,0
0,1,0,1,1,1,0,0,0,0
1,1,0,1,1,1,0,0,0,1
0,0,1,1,1,1,0,0,0,0
1,0,1,1,1,1,0,0,0,0
0,1,1,1,1,1,0,0,0,1
1,1,1,1,1,1,0,0,0,1
0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,1,0,0,0
1,1,0,0,0,0,1,0,0,0
0,0,1,0,0,0,1,0,0,0
1,0,1,0,0,0,1,0,0,0
0,1,1,0,0,0,1,0,0,0
1,1,1,0,0,0,1,0,0,0
0,0,0,1,0,0,1,0,0,1
1,0,0,1,0,0,1,0,0,0
0,1,0,1,0,0,1,0,0,0
1,1,0,1,0,0,1,0,0,0
0,0,1,1,0,0,1,0,0,0
1,0,1,1,0,0,1,0,0,0
0,1,1,1,0,0,1,0,0,1
1,1,1,1,0,0,1,0,0,0
0,0,0,0,1,0,1,0,0,0
1,0,0,0,1,0,1,0,0,0
0,1,0,0,1,0,1,0,0,0
1,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,0
1,0,1,0,1,0,1,0,0,0
0,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,1,0,0,1
0,0,0,1,1,0,1,0,0,0
1,0,0,1,1,0,1,0,0,0
0,1,0,1,1,0,1,0,0,0
1,1,0,1,1,0,1,0,0,0
0,0,1,1,1,0,1,0,0,0
1,0,1,1,1,0,1,0,0,1
0,1,1,1,1,0,1,0,0,0
1,1,1,1,1,0,1,0,0,0
0,0,0,0,0,1,1,0,0,0
1,0,0,0,0,1,1,0,0,0
0,1,0,0,0,1,1,0,0,0
1,1,0,0,0,1,1,0,0,0
0,0,1,0,0,1,1,0,0,0
1,0,1,0,0,1,1,0,0,0
0,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,1,0,0,0
0,0,0,1,0,1,1,0,0,1
1,0,0,1,0,1,1,0,0,0
0,1,0,1,0,1,1,0,0,1
1,1,0,1,0,1,1,0,0,0
0,0,1,1,0,1,1,0,0,0
1,0,1,1,0,1,1,0,0,0
0,1,1,1,0,1,1,0,0,0
1,1,1,1,0,1,1,0,0,1
0,0,0,0,1,1,1,0,0,0
1,0,0,0,1,1,1,0,0,0
0,1,0,0,1,1,1,0,0,1
1,1,0,0,1,1,1,0,0,0
0,0,1,0,1,1,1,0,0,0
1,0,1,0,1,1,1,0,0,1
0,1,1,0,1,1,1,0,0,0
1,1,1,0,1,1,1,0,0,0
0,0,0,1,1,1,1,0,0,0
1,0,0,1,1,1,1,0,0,0
0,1,0,1,1,1,1,0,0,0
1,1,0,1,1,1,1,0,0,0
0,0,1,1,1,1,1,0,0,0
1,0,1,1,1,1,1,0,0,0
0,1,1,1,1,1,1,0,0,0
1,1,1,1,1,1,1,0,0,0
0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,1,0,0
1,1,0,0,0,0,0,1,0,1
0,0,1,0,0,0,0,1,0,0
1,0,1,0,0,0,0,1,0,0
0,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,1,0,1
0,0,0,1,0,0,0,1,0,1
1,0,0,1,0,0,0,1,0,0
0,1,0,1,0,0,0,1,0,1
1,1,0,1,0,0,0,1,0,1
0,0,1,1,0,0,0,1,0,0
1,0,1,1,0,0,0,1,0,0
0,1,1,1,0,0,0,1,0,1
1,1,1,1,0,0,0,1,0,0
0,0,0,0,1,0,0,1,0,0
1,0,0,0,1,0,0,1,0,0
0,1,0,0,1,0,0,1,0,0
1,1,0,0,1,0,0,1,0,0
0,0,1,0,1,0,0,1,0,0
1,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,1,0,0
0,0,0,1,1,0,0,1,0,0
1,0,0,1,1,0,0,1,0,0
0,1,0,1,1,0,0,1,0,0
1,1,0,1,1,0,0,1,0,1
0,0,1,1,1,0,0,1,0,1
1,0,1,1,1,0,0,1,0,0
0,1,1,1,1,0,0,1,0,0
1,1,1,1,1,0,0,1,0,0
0,0,0,0,0,1,0,1,0,1
1,0,0,0,0,1,0,1,0,0
0,1,0,0,0,1,0,1,0,1
1,1,0,0,0,1,0,1,0,1
0,0,1,0,0,1,0,1,0,0
1,0,1,0,0,1,0,1,0,0
0,1,1,0,0,1,0,1,0,1
1,1,1,0,0,1,0,1,0,0
0,0,0,1,0,1,0,1,0,1
1,0,0,1,0,1,0,1,0,1
0,1,0,1,0,1,0,1,0,0
1,1,0,1,0,1,0,1,0,0
0,0,1,1,0,1,0,1,0,1
1,0,1,1,0,1,0,1,0,0
0,1,1,1,0,1,0,1,0,0
1,1,1,1,0,1,0,1,0,0
0,0,0,0,1,1,0,1,0,0
1,0,0,0,1,1,0,1,0,1
0,1,0,0,1,1,0,1,0,0
1,1,0,0,1,1,0,1,0,0
0,0,1,0,1,1,0,1,0,0
1,0,1,0,1,1,0,1,0,0
0,1,1,0,1,1,0,1,0,1
1,1,1,0,1,1,0,1,0,0
0,0,0,1,1,1,0,1,0,0
1,0,0,1,1,1,0,1,0,0
0,1,0,1,1,1,0,1,0,0
1,1,0,1,1,1,0,1,0,1
0,0,1,1,1,1,0,1,0,0
1,0,1,1,1,1,0,1,0,0
0,1,1,1,1,1,0,1,0,1
1,1,1,1,1,1,0,1,0,1
0,0,0,0,0,0,1,1,0,1
1,0,0,0,0,0,1,1,0,0
0,1,0,0,0,0,1,1,0,1
1,1,0,0,0,0,1,1,0,0
0,0,1,0,0,0,1,1,0,0
1,0,1,0,0,0,1,1,0,0
0,1,1,0,0,0,1,1,0,0
1,1,1,0,0,0,1,1,0,0
0,0,0,1,0,0,1,1,0,0
1,0,0,1,0,0,1,1,0,0
0,1,0,1,0,0,1,1,0,1
1,1,0,1,0,0,1,1,0,0
0,0,1,1,0,0,1,1,0,0
1,0,1,1,0,0,1,1,0,0
0,1,1,1,0,0,1,1,0,0
1,1,1,1,0,0,1,1,0,1
0,0,0,0,1,0,1,1,0,0
1,0,0,0,1,0,1,1,0,1
0,1,0,0,1,0,1,1,0,0
1,1,0,0,1,0,1,1,0,0
0,0,1,0,1,0,1,1,0,0
1,0,1,0,1,0,1,1,0,1
0,1,1,0,1,0,1,1,0,0
1,1,1,0,1,0,1,1,0,0
0,0,0,1,1,0,1,1,0,0
1,0,0,1,1,0,1,1,0,0
0,1,0,1,1,0,1,1,0,1
1,1,0,1,1,0,1,1,0,0
0,0,1,1,1,0,1,1,0,0
1,0,1,1,1,0,1,1,0,0
0,1,1,1,1,0,1,1,0,0
1,1,1,1,1,0,1,1,0,0
0,0,0,0,0,1,1,1,0,0
1,0,0,0,0,1,1,1,0,0
0,1,0,0,0,1,1,1,0,1
1,1,0,0,0,1,1,1,0,0
0,0,1,0,0,1,1,1,0,1
1,0,1,0,0,1,1,1,0,0
0,1,1,0,0,1,1,1,0,0
1,1,1,0,0,1,1,1,0,0
0,0,0,1,0,1,1,1,0,1
1,0,0,1,0,1,1,1,0,0
0,1,0,1,0,1,1,1,0,0
1,1,0,1,0,1,1,1,0,0
0,0,1,1,0,1,1,1,0,0
1,0,1,1,0,1,1,1,0,0
0,1,1,1,0,1,1,1,0,1
1,1,1,1,0,1,1,1,0,1
0,0,0,0,1,1,1,1,0,0
1,0,0,0,1,1,1,1,0,0
0,1,0,0,1,1,1,1,0,0
1,1,0,0,1,1,1,1,0,0
0,0,1,0,1,1,1,1,0,0
1,0,1,0,1,1,1,1,0,0
0,1,1,0,1,1,1,1,0,0
1,1,1,0,1,1,1,1,0,0
0,0,0,1,1,1,1,1,0,1
1,0,0,1,1,1,1,1,0,0
0,1,0,1,1,1,1,1,0,1
1,1,0,1,1,1,1,1,0,1
0,0,1,1,1,1,1,1,0,0
1,0,1,1,1,1,1,1,0,0
0,1,1,1,1,1,1,1,0,0
1,1,1,1,1,1,1,1,0,0
0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,1,0
1,1,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,1,0
1,0,1,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0
1,1,1,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,1,0
1,0,0,1,0,0,0,0,1,0
0,1,0,1,0,0,0,0,1,0
1,1,0,1,0,0,0,0,1,0
0,0,1,1,0,0,0,0,1,0
1,0,1,1,0,0,0,0,1,0
0,1,1,1,0,0,0,0,1,0
1,1,1,1,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0
1,0,0,0,1,0,0,0,1,0
0,1,0,0,1,0,0,0,1,0
1,1,0,0,1,0,0,0,1,0
0,0,1,0,1,0,0,0,1,0
1,0,1,0,1,0,0,0,1,0
0,1,1,0,1,0,0,0,1,1
1,1,1,0,1,0,0,0,1,1
0,0,0,1,1,0,0,0,1,0
1,0,0,1,1,0,0,0,1,0
0,1,0,1,1,0,0,0,1,1
1,1,0,1,1,0,0,0,1,0
0,0,1,1,1,0,0,0,1,0
1,0,1,1,1,0,0,0,1,1
0,1,1,1,1,0,0,0,1,0
1,1,1,1,1,0,0,0,1,0
0,0,0,0,0,1,0,0,1,1
1,0,0,0,0,1,0,0,1,0
0,1,0,0,0,1,0,0,1,0
1,1,0,0,0,1,0,0,1,1
0,0,1,0,0,1,0,0,1,0
1,0,1,0,0,1,0,0,1,0
0,1,1,0,0,1,0,0,1,0
1,1,1,0,0,1,0,0,1,0
0,0,0,1,0,1,0,0,1,1
1,0,0,1,0,1,0,0,1,0
0,1,0,1,0,1,0,0,1,1
1,1,0,1,0,1,0,0,1,0
0,0,1,1,0,1,0,0,1,0
1,0,1,1,0,1,0,0,1,0
0,1,1,1,0,1,0,0,1,0
1,1,1,1,0,1,0,0,1,1
0,0,0,0,1,1,0,0,1,0
1,0,0,0,1,1,0,0,1,0
0,1,0,0,1,1,0,0,1,0
1,1,0,0,1,1,0,0,1,0
0,0,1,0,1,1,0,0,1,1
1,0,1,0,1,1,0,0,1,1
0,1,1,0,1,1,0,0,1,0
1,1,1,0,1,1,0,0,1,0
0,0,0,1,1,1,0,0,1,0
1,0,0,1,1,1,0,0,1,0
0,1,0,1,1,1,0,0,1,0
1,1,0,1,1,1,0,0,1,0
0,0,1,1,1,1,0,0,1,0
1,0,1,1,1,1,0,0,1,0
0,1,1,1,1,1,0,0,1,0
1,1,1,1,1,1,0,0,1,0
0,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,1,0,1,0
0,1,0,0,0,0,1,0,1,0
1,1,0,0,0,0,1,0,1,0
0,0,1,0,0,0,1,0,1,0
1,0,1,0,0,0,1,0,1,0
0,1,1,0,0,0,1,0,1,0
1,1,1,0,0,0,1,0,1,0
0,0,0,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0
0,1,0,1,0,0,1,0,1,0
1,1,0,1,0,0,1,0,1,0
0,0,1,1,0,0,1,0,1,0
1,0,1,1,0,0,1,0,1,0
0,1,1,1,0,0,1,0,1,0
1,1,1,1,0,0,1,0,1,1
0,0,0,0,1,0,1,0,1,0
1,0,0,0,1,0,1,0,1,0
0,1,0,0,1,0,1,0,1,0
1,1,0,0,1,0,1,0,1,1
0,0,1,0,1,0,1,0,1,0
1,0,1,0,1,0,1,0,1,0
0,1,1,0,1,0,1,0,1,1
1,1,1,0,1,0,1,0,1,0
0,0,0,1,1,0,1,0,1,1
1,0,0,1,1,0,1,0,1,1
0,1,0,1,1,0,1,0,1,0
1,1,0,1,1,0,1,0,1,0
0,0,1,1,1,0,1,0,1,1
1,0,1,1,1,0,1,0,1,0
0,1,1,1,1,0,1,0,1,0
1,1,1,1,1,0,1,0,1,1
0,0,0,0,0,1,1,0,1,0
1,0,0,0,0,1,1,0,1,0
0,1,0,0,0,1,1,0,1,0
1,1,0,0,0,1,1,0,1,0
0,0,1,0,0,1,1,0,1,0
1,0,1,0,0,1,1,0,1,0
0,1,1,0,0,1,1,0,1,0
1,1,1,0,0,1,1,0,1,1
0,0,0,1,0,1,1,0,1,0
1,0,0,1,0,1,1,0,1,0
0,1,0,1,0,1,1,0,1,0
1,1,0,1,0,1,1,0,1,0
0,0,1,1,0,1,1,0,1,0
1,0,1,1,0,1,1,0,1,0
0,1,1,1,0,1,1,0,1,0
1,1,1,1,0,1,1,0,1,1
0,0,0,0,1,1,1,0,1,1
1,0,0,0,1,1,1,0,1,1
0,1,0,0,1,1,1,0,1,0
1,1,0,0,1,1,1,0,1,0
0,0,1,0,1,1,1,0,1,1
1,0,1,0,1,1,1,0,1,0
0,1,1,0,1,1,1,0,1,0
1,1,1,0,1,1,1,0,1,1
0,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,0,1,0
0,1,0,1,1,1,1,0,1,0
1,1,0,1,1,1,1,0,1,0
0,0,1,1,1,1,1,0,1,0
1,0,1,1,1,1,1,0,1,1
0,1,1,1,1,1,1,0,1,0
1,1,1,1,1,1,1,0,1,0
0,0,0,0,0,0,0,1,1,1
1,0,0,0,0,0,0,1,1,0
0,1,0,0,0,0,0,1,1,1
1,1,0,0,0,0,0,1,1,0
0,0,1,0,0,0,0,1,1,0
1,0,1,0,0,0,0,1,1,0
0,1,1,0,0,0,0,1,1,0
1,1,1,0,0,0,0,1,1,0
0,0,0,1,0,0,0,1,1,0
1,0,0,1,0,0,0,1,1,1
0,1,0,1,0,0,0,1,1,1
1,1,0,1,0,0,0,1,1,0
0,0,1,1,0,0,0,1,1,0
1,0,1,1,0,0,0,1,1,0
0,1,1,1,0,0,0,1,1,0
1,1,1,1,0,0,0,1,1,0
0,0,0,0,1,0,0,1,1,0
1,0,0,0,1,0,0,1,1,0
0,1,0,0,1,0,0,1,1,0
1,1,0,0,1,0,0,1,1,0
0,0,1,0,1,0,0,1,1,1
1,0,1,0,1,0,0,1,1,1
0,1,1,0,1,0,0,1,1,0
1,1,1,0,1,0,0,1,1,0
0,0,0,1,1,0,0,1,1,0
1,0,0,1,1,0,0,1,1,0
0,1,0,1,1,0,0,1,1,0
1,1,0,1,1,0,0,1,1,0
0,0,1,1,1,0,0,1,1,0
1,0,1,1,1,0,0,1,1,0
0,1,1,1,1,0,0,1,1,0
1,1,1,1,1,0,0,1,1,0
0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,1,0,1,1,0
0,1,0,0,0,1,0,1,1,1
1,1,0,0,0,1,0,1,1,0
0,0,1,0,0,1,0,1,1,0
1,0,1,0,0,1,0,1,1,0
0,1,1,0,0,1,0,1,1,0
1,1,1,0,0,1,0,1,1,1
0,0,0,1,0,1,0,1,1,1
1,0,0,1,0,1,0,1,1,0
0,1,0,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,1
0,0,1,1,0,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
0,1,1,1,0,1,0,1,1,0
1,1,1,1,0,1,0,1,1,1
0,0,0,0,1,1,0,1,1,0
1,0,0,0,1,1,0,1,1,0
0,1,0,0,1,1,0,1,1,1
1,1,0,0,1,1,0,1,1,0
0,0,1,0,1,1,0,1,1,0
1,0,1,0,1,1,0,1,1,0
0,1,1,0,1,1,0,1,1,0
1,1,1,0,1,1,0,1,1,0
0,0,0,1,1,1,0,1,1,1
1,0,0,1,1,1,0,1,1,0
0,1,0,1,1,1,0,1,1,1
1,1,0,1,1,1,0,1,1,0
0,0,1,1,1,1,0,1,1,0
1,0,1,1,1,1,0,1,1,0
0,1,1,1,1,1,0,1,1,1
1,1,1,1,1,1,0,1,1,0
0,0,0,0,0,0,1,1,1,0
1,0,0,0,0,0,1,1,1,0
0,1,0,0,0,0,1,1,1,1
1,1,0,0,0,0,1,1,1,0
0,0,1,0,0,0,1,1,1,0
1,0,1,0,0,0,1,1,1,0
0,1,1,0,0,0,1,1,1,0
1,1,1,0,0,0,1,1,1,0
0,0,0,1,0,0,1,1,1,0
1,0,0,1,0,0,1,1,1,0
0,1,0,1,0,0,1,1,1,0
1,1,0,1,0,0,1,1,1,1
0,0,1,1,0,0,1,1,1,0
1,0,1,1,0,0,1,1,1,1
0,1,1,1,0,0,1,1,1,0
1,1,1,1,0,0,1,1,1,1
0,0,0,0,1,0,1,1,1,1
1,0,0,0,1,0,1,1,1,1
0,1,0,0,1,0,1,1,1,0
1,1,0,0,1,0,1,1,1,0
0,0,1,0,1,0,1,1,1,1
1,0,1,0,1,0,1,1,1,0
0,1,1,0,1,0,1,1,1,0
1,1,1,0,1,0,1,1,1,1
0,0,0,1,1,0,1,1,1,0
1,0,0,1,1,0,1,1,1,0
0,1,0,1,1,0,1,1,1,0
1,1,0,1,1,0,1,1,1,0
0,0,1,1,1,0,1,1,1,0
1,0,1,1,1,0,1,1,1,1
0,1,1,1,1,0,1,1,1,0
1,1,1,1,1,0,1,1,1,0
0,0,0,0,0,1,1,1,1,0
1,0,0,0,0,1,1,1,1,0
0,1,0,0,0,1,1,1,1,0
1,1,0,0,0,1,1,1,1,0
0,0,1,0,0,1,1,1,1,0
1,0,1,0,0,1,1,1,1,1
0,1,1,0,0,1,1,1,1,1
1,1,1,0,0,1,1,1,1,1
0,0,0,1,0,1,1,1,1,0
1,0,0,1,0,1,1,1,1,1
0,1,0,1,0,1,1,1,1,0
1,1,0,1,0,1,1,1,1,1
0,0,1,1,0,1,1,1,1,1
1,0,1,1,0,1,1,1,1,1
0,1,1,1,0,1,1,1,1,1
1,1,1,1,0,1,1,1,1,0
0,0,0,0,1,1,1,1,1,0
1,0,0,0,1,1,1,1,1,0
0,1,0,0,1,1,1,1,1,0
1,1,0,0,1,1,1,1,1,0
0,0,1,0,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,1
0,1,1,0,1,1,1,1,1,0
1,1,1,0,1,1,1,1,1,0
0,0,0,1,1,1,1,1,1,1
1,0,0,1,1,1,1,1,1,0
0,1,0,1,1,1,1,1,1,1
1,1,0,1,1,1,1,1,1,0
0,0,1,1,1,1,1,1,1,0
1,0,1,1,1,1,1,1,1,0
0,1,1,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

Code: Select all

x = 77, y = 86, rule = also-not-x-rule
31bobobobo$38bo$37b2o$36bo3$37bo$36b2o$27bobobobobo3$31bobobobo$38bo5b
o$37b2o4b2o$28bobobobobo5bo3$43bo$44bo$42bobo$43bo$42b2o$41bo5$46bo$
45b2o$34bobobobobobo2$33bobobobo3bo$40bob2o$33bobobobobo3$41bo$40b2o$39bo$30bo5bo6bo$32bobo3bobob2o$31bobobobobobo3$39bo$38b2o3$36bobobobo$
43bo$35bo6b2o$36bo4bo$35b2o$34bo10$3bobobobobobobobobobobobobobobobobo bobobobobobobobobobobobobobobobobobo$72bo3bo$73bob2o$obobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo7$33bo$32b2o
$3bobobobobobobobobobobobobobobo$bo$2bobobobobobobobobobobobobo$27bo$28bo5bo$29bo3b2o$2bobobobobobobobobobobobobobobobo2$bobobobo$8bo$7b2o!

Any idea what I'm doing wrong?
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
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dvgrn
Moderator
Posts: 6292
Joined: May 17th, 2009, 11:00 pm
Contact:

Re: X-Rule

M. I. Wright wrote:Hm... I tried to make a Golly ruletable for the X-rule based on Figure 12 in the paper, but it didn't quite work out.

I took 'descending order of neighborhood values' to mean counting down, in binary, from 111111111 to 000000000 - where the first digit represents the current cell and the remaining eight represent its Moore neighborhood - matching each row of the image to 64 numbers. (e.g. the first row, 0001001001100000000000010000010000101000011110100000010000010011, went to the neighbor counts 111111111 through 111000000.)
...
Any idea what I'm doing wrong?
It's a good theory. The paper really doesn't explain this well at all -- unless I'm missing seeing a little diagram somewhere that shows which neighbor (or central cell) corresponds to the first bit, which neighbor to the second bit, etc., in 111111111 through 000000000.

There are 512 little squares in that diagram. You must have that part of the mapping right.

But there's no guarantee that they want the leftmost bit to mean the center cell. Could it be that the 1st, leftmost bit is the upper-left cell, the 5th bit is the center cell, and the 9th, rightmost bit is the lower-right cell? That's the mapping I'd bet on, if you haven't tried it.

There are a few other mappings of bits to neighbors that might make sense, like leftmost bit=center cell, then assign neighbors clockwise from the top center, or from the top left, or just left-to-right then top-to-bottom.

There's an interesting diagonal bilateral symmetry in each of the 8x8 boxes in Figure 12. I assume that corresponds to the rotations and reflections that they talk about, that reduce the space from 2^512 to 2^102.

It should be possible to use those diagonal lines of symmetry to deduce the center/neighbor mapping -- but maybe a little more trial and error will be easier!

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: X-Rule

dvgrn wrote:But there's no guarantee that they want the leftmost bit to mean the center cell. Could it be that the 1st, leftmost bit is the upper-left cell, the 5th bit is the center cell, and the 9th, rightmost bit is the lower-right cell? That's the mapping I'd bet on, if you haven't tried it.

There are a few other mappings of bits to neighbors that might make sense, like leftmost bit=center cell, then assign neighbors clockwise from the top center, or from the top left, or just left-to-right then top-to-bottom.
Whoops, I've gotten used to Golly's rule format! I'd be willing to be that it's your first suggestion, actually.
There's an interesting diagonal bilateral symmetry in each of the 8x8 boxes in Figure 12. I assume that corresponds to the rotations and reflections that they talk about, that reduce the space from 2^512 to 2^102.

It should be possible to use those diagonal lines of symmetry to deduce the center/neighbor mapping -- but maybe a little more trial and error will be easier!
Oh shoot, I completely missed that (both the symmetry in the rule-table and the mention of rotations/reflections - I skimmed over 2.1 at first and didn't see other mentions of symmetry). It might be easier to figure out the rule format (and where the center cell lies in the transition) knowing that the precursor has rotate4reflect symmetry, although I've got nothing for now - I'll wait until jmgomez (hopefully) replies before attempting anything new with the ruletable.

Edit - Alternatively: Is anyone familiar with Mathematica's rule format? The note at the bottom says that X-rule was tested in the language, so it might make sense for the image to correspond with that.

This would also be easier if the website listed - http://www.ddlab.org/Xrule/ - were up...
Last edited by M. I. Wright on October 6th, 2015, 10:01 pm, edited 1 time in total.
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
nutshelltlifeDiscord 'Conwaylife Lounge'

dvgrn
Moderator
Posts: 6292
Joined: May 17th, 2009, 11:00 pm
Contact:

Re: X-Rule

dvgrn wrote:But there's no guarantee that they want the leftmost bit to mean the center cell. Could it be that the 1st, leftmost bit is the upper-left cell, the 5th bit is the center cell, and the 9th, rightmost bit is the lower-right cell? That's the mapping I'd bet on, if you haven't tried it.
Yup, I think that's got it. Just had to shuffle the bits in the columns of the first rule table, in a very headache-inducing way:

Code: Select all

@RULE x-rule

@TABLE
n_states:2
neighborhood:Moore
symmetries:none

# The first digit represents the current cell, the next eight its Moore neighborhood, and the final digit determines that configuration's output
# C,N,NE,E,SE,S,SW,W,NW,C'
1,1,1,1,1,1,1,1,1,0
1,1,1,1,0,1,1,1,1,0
1,1,1,1,1,0,1,1,1,0
1,1,1,1,0,0,1,1,1,1
1,1,1,1,1,1,0,1,1,0
1,1,1,1,0,1,0,1,1,0
1,1,1,1,1,0,0,1,1,1
1,1,1,1,0,0,0,1,1,0
1,1,1,0,1,1,1,1,1,0
1,1,1,0,0,1,1,1,1,1
1,1,1,0,1,0,1,1,1,1
1,1,1,0,0,0,1,1,1,0
1,1,1,0,1,1,0,1,1,0
1,1,1,0,0,1,0,1,1,0
1,1,1,0,1,0,0,1,1,0
1,1,1,0,0,0,0,1,1,0
0,1,1,1,1,1,1,1,1,0
0,1,1,1,0,1,1,1,1,0
0,1,1,1,1,0,1,1,1,0
0,1,1,1,0,0,1,1,1,0
0,1,1,1,1,1,0,1,1,0
0,1,1,1,0,1,0,1,1,0
0,1,1,1,1,0,0,1,1,0
0,1,1,1,0,0,0,1,1,1
0,1,1,0,1,1,1,1,1,0
0,1,1,0,0,1,1,1,1,0
0,1,1,0,1,0,1,1,1,0
0,1,1,0,0,0,1,1,1,0
0,1,1,0,1,1,0,1,1,0
0,1,1,0,0,1,0,1,1,1
0,1,1,0,1,0,0,1,1,0
0,1,1,0,0,0,0,1,1,0
1,1,1,1,1,1,1,0,1,0
1,1,1,1,0,1,1,0,1,0
1,1,1,1,1,0,1,0,1,1
1,1,1,1,0,0,1,0,1,0
1,1,1,1,1,1,0,0,1,1
1,1,1,1,0,1,0,0,1,0
1,1,1,1,1,0,0,0,1,0
1,1,1,1,0,0,0,0,1,0
1,1,1,0,1,1,1,0,1,0
1,1,1,0,0,1,1,0,1,1
1,1,1,0,1,0,1,0,1,1
1,1,1,0,0,0,1,0,1,1
1,1,1,0,1,1,0,0,1,1
1,1,1,0,0,1,0,0,1,0
1,1,1,0,1,0,0,0,1,1
1,1,1,0,0,0,0,0,1,0
0,1,1,1,1,1,1,0,1,0
0,1,1,1,0,1,1,0,1,0
0,1,1,1,1,0,1,0,1,0
0,1,1,1,0,0,1,0,1,0
0,1,1,1,1,1,0,0,1,0
0,1,1,1,0,1,0,0,1,1
0,1,1,1,1,0,0,0,1,0
0,1,1,1,0,0,0,0,1,0
0,1,1,0,1,1,1,0,1,0
0,1,1,0,0,1,1,0,1,0
0,1,1,0,1,0,1,0,1,0
0,1,1,0,0,0,1,0,1,1
0,1,1,0,1,1,0,0,1,0
0,1,1,0,0,1,0,0,1,0
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,0,0,0,1,1
1,1,0,1,1,1,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,0,1,1,1,0
1,1,0,1,0,0,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,1,0,1,1,0,0,1,1,0
1,1,0,1,0,0,0,1,1,0
1,1,0,0,1,1,1,1,1,1
1,1,0,0,0,1,1,1,1,0
1,1,0,0,1,0,1,1,1,0
1,1,0,0,0,0,1,1,1,0
1,1,0,0,1,1,0,1,1,0
1,1,0,0,0,1,0,1,1,0
1,1,0,0,1,0,0,1,1,1
1,1,0,0,0,0,0,1,1,0
0,1,0,1,1,1,1,1,1,0
0,1,0,1,0,1,1,1,1,0
0,1,0,1,1,0,1,1,1,0
0,1,0,1,0,0,1,1,1,1
0,1,0,1,1,1,0,1,1,0
0,1,0,1,0,1,0,1,1,0
0,1,0,1,1,0,0,1,1,0
0,1,0,1,0,0,0,1,1,1
0,1,0,0,1,1,1,1,1,0
0,1,0,0,0,1,1,1,1,0
0,1,0,0,1,0,1,1,1,0
0,1,0,0,0,0,1,1,1,0
0,1,0,0,1,1,0,1,1,0
0,1,0,0,0,1,0,1,1,1
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0,1,0,0,0,0,0,1,1,0
1,1,0,1,1,1,1,0,1,0
1,1,0,1,0,1,1,0,1,0
1,1,0,1,1,0,1,0,1,0
1,1,0,1,0,0,1,0,1,0
1,1,0,1,1,1,0,0,1,0
1,1,0,1,0,1,0,0,1,0
1,1,0,1,1,0,0,0,1,0
1,1,0,1,0,0,0,0,1,0
1,1,0,0,1,1,1,0,1,1
1,1,0,0,0,1,1,0,1,0
1,1,0,0,1,0,1,0,1,1
1,1,0,0,0,0,1,0,1,0
1,1,0,0,1,1,0,0,1,0
1,1,0,0,0,1,0,0,1,0
1,1,0,0,1,0,0,0,1,0
1,1,0,0,0,0,0,0,1,1
0,1,0,1,1,1,1,0,1,0
0,1,0,1,0,1,1,0,1,0
0,1,0,1,1,0,1,0,1,1
0,1,0,1,0,0,1,0,1,0
0,1,0,1,1,1,0,0,1,0
0,1,0,1,0,1,0,0,1,1
0,1,0,1,1,0,0,0,1,0
0,1,0,1,0,0,0,0,1,0
0,1,0,0,1,1,1,0,1,0
0,1,0,0,0,1,1,0,1,0
0,1,0,0,1,0,1,0,1,0
0,1,0,0,0,0,1,0,1,0
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1,0,1,1,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,0,1,1,0,0,1,1,1,1
1,0,1,1,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,0,1,1,1,0,0,1,1,1
1,0,1,1,0,0,0,1,1,1
1,0,1,0,1,1,1,1,1,1
1,0,1,0,0,1,1,1,1,0
1,0,1,0,1,0,1,1,1,1
1,0,1,0,0,0,1,1,1,1
1,0,1,0,1,1,0,1,1,0
1,0,1,0,0,1,0,1,1,0
1,0,1,0,1,0,0,1,1,1
1,0,1,0,0,0,0,1,1,0
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0,0,1,1,1,0,1,1,1,0
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0,0,1,0,1,0,1,1,1,0
0,0,1,0,0,0,1,1,1,1
0,0,1,0,1,1,0,1,1,1
0,0,1,0,0,1,0,1,1,0
0,0,1,0,1,0,0,1,1,0
0,0,1,0,0,0,0,1,1,0
1,0,1,1,1,1,1,0,1,1
1,0,1,1,0,1,1,0,1,0
1,0,1,1,1,0,1,0,1,1
1,0,1,1,0,0,1,0,1,1
1,0,1,1,1,1,0,0,1,0
1,0,1,1,0,1,0,0,1,0
1,0,1,1,1,0,0,0,1,1
1,0,1,1,0,0,0,0,1,0
1,0,1,0,1,1,1,0,1,1
1,0,1,0,0,1,1,0,1,1
1,0,1,0,1,0,1,0,1,0
1,0,1,0,0,0,1,0,1,0
1,0,1,0,1,1,0,0,1,1
1,0,1,0,0,1,0,0,1,0
1,0,1,0,1,0,0,0,1,0
1,0,1,0,0,0,0,0,1,0
0,0,1,1,1,1,1,0,1,0
0,0,1,1,0,1,1,0,1,1
0,0,1,1,1,0,1,0,1,0
0,0,1,1,0,0,1,0,1,0
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0,0,1,0,0,1,1,0,1,0
0,0,1,0,1,0,1,0,1,0
0,0,1,0,0,0,1,0,1,1
0,0,1,0,1,1,0,0,1,0
0,0,1,0,0,1,0,0,1,0
0,0,1,0,1,0,0,0,1,1
0,0,1,0,0,0,0,0,1,1
1,0,0,1,1,1,1,1,1,1
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,1
1,0,0,1,0,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,0,1,0,1,1,0
1,0,0,1,1,0,0,1,1,0
1,0,0,1,0,0,0,1,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,0,0,1,1,1,1,0
1,0,0,0,1,0,1,1,1,1
1,0,0,0,0,0,1,1,1,0
1,0,0,0,1,1,0,1,1,0
1,0,0,0,0,1,0,1,1,0
1,0,0,0,1,0,0,1,1,0
1,0,0,0,0,0,0,1,1,1
0,0,0,1,1,1,1,1,1,0
0,0,0,1,0,1,1,1,1,1
0,0,0,1,1,0,1,1,1,0
0,0,0,1,0,0,1,1,1,0
0,0,0,1,1,1,0,1,1,0
0,0,0,1,0,1,0,1,1,1
0,0,0,1,1,0,0,1,1,0
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0,0,0,0,1,1,1,1,1,0
0,0,0,0,0,1,1,1,1,0
0,0,0,0,1,0,1,1,1,1
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0,0,0,0,1,0,0,1,1,0
0,0,0,0,0,0,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,0,1,1,0,1,0
1,0,0,1,1,0,1,0,1,1
1,0,0,1,0,0,1,0,1,0
1,0,0,1,1,1,0,0,1,1
1,0,0,1,0,1,0,0,1,0
1,0,0,1,1,0,0,0,1,0
1,0,0,1,0,0,0,0,1,0
1,0,0,0,1,1,1,0,1,1
1,0,0,0,0,1,1,0,1,0
1,0,0,0,1,0,1,0,1,0
1,0,0,0,0,0,1,0,1,0
1,0,0,0,1,1,0,0,1,0
1,0,0,0,0,1,0,0,1,0
1,0,0,0,1,0,0,0,1,1
1,0,0,0,0,0,0,0,1,1
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0,0,0,1,0,1,0,0,1,0
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0,0,0,0,1,0,1,0,1,1
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0,0,0,0,0,1,0,0,1,0
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1,1,1,1,1,1,1,1,0,0
1,1,1,1,0,1,1,1,0,0
1,1,1,1,1,0,1,1,0,0
1,1,1,1,0,0,1,1,0,0
1,1,1,1,1,1,0,1,0,0
1,1,1,1,0,1,0,1,0,0
1,1,1,1,1,0,0,1,0,0
1,1,1,1,0,0,0,1,0,0
1,1,1,0,1,1,1,1,0,0
1,1,1,0,0,1,1,1,0,0
1,1,1,0,1,0,1,1,0,0
1,1,1,0,0,0,1,1,0,0
1,1,1,0,1,1,0,1,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,1,0,0,1,0,0
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0,1,1,0,1,0,1,1,0,1
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0,1,1,0,0,1,0,1,0,1
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1,1,1,1,1,1,1,0,0,1
1,1,1,1,0,1,1,0,0,0
1,1,1,1,1,0,1,0,0,0
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1,1,1,1,1,0,0,0,0,0
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1,1,1,0,1,1,1,0,0,1
1,1,1,0,0,1,1,0,0,0
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1,1,1,0,0,0,1,0,0,0
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1,1,1,0,0,1,0,0,0,0
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0,0,1,0,0,0,0,1,0,0
1,0,1,1,1,1,1,0,0,0
1,0,1,1,0,1,1,0,0,0
1,0,1,1,1,0,1,0,0,1
1,0,1,1,0,0,1,0,0,0
1,0,1,1,1,1,0,0,0,0
1,0,1,1,0,1,0,0,0,0
1,0,1,1,1,0,0,0,0,0
1,0,1,1,0,0,0,0,0,1
1,0,1,0,1,1,1,0,0,1
1,0,1,0,0,1,1,0,0,0
1,0,1,0,1,0,1,0,0,0
1,0,1,0,0,0,1,0,0,1
1,0,1,0,1,1,0,0,0,0
1,0,1,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1
0,0,1,1,1,1,1,0,0,0
0,0,1,1,0,1,1,0,0,0
0,0,1,1,1,0,1,0,0,1
0,0,1,1,0,0,1,0,0,0
0,0,1,1,1,1,0,0,0,0
0,0,1,1,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0
0,0,1,0,1,1,1,0,0,1
0,0,1,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,1
0,0,1,0,0,0,1,0,0,0
0,0,1,0,1,1,0,0,0,0
0,0,1,0,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0
1,0,0,1,1,1,1,1,0,0
1,0,0,1,0,1,1,1,0,0
1,0,0,1,1,0,1,1,0,1
1,0,0,1,0,0,1,1,0,0
1,0,0,1,1,1,0,1,0,0
1,0,0,1,0,1,0,1,0,0
1,0,0,1,1,0,0,1,0,0
1,0,0,1,0,0,0,1,0,0
1,0,0,0,1,1,1,1,0,0
1,0,0,0,0,1,1,1,0,0
1,0,0,0,1,0,1,1,0,0
1,0,0,0,0,0,1,1,0,1
1,0,0,0,1,1,0,1,0,0
1,0,0,0,0,1,0,1,0,1
1,0,0,0,1,0,0,1,0,0
1,0,0,0,0,0,0,1,0,1
0,0,0,1,1,1,1,1,0,1
0,0,0,1,0,1,1,1,0,1
0,0,0,1,1,0,1,1,0,0
0,0,0,1,0,0,1,1,0,0
0,0,0,1,1,1,0,1,0,1
0,0,0,1,0,1,0,1,0,0
0,0,0,1,1,0,0,1,0,0
0,0,0,1,0,0,0,1,0,1
0,0,0,0,1,1,1,1,0,0
0,0,0,0,0,1,1,1,0,0
0,0,0,0,1,0,1,1,0,0
0,0,0,0,0,0,1,1,0,0
0,0,0,0,1,1,0,1,0,0
0,0,0,0,0,1,0,1,0,1
0,0,0,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0
1,0,0,1,1,1,1,0,0,0
1,0,0,1,0,1,1,0,0,0
1,0,0,1,1,0,1,0,0,0
1,0,0,1,0,0,1,0,0,0
1,0,0,1,1,1,0,0,0,0
1,0,0,1,0,1,0,0,0,1
1,0,0,1,1,0,0,0,0,1
1,0,0,1,0,0,0,0,0,1
1,0,0,0,1,1,1,0,0,0
1,0,0,0,0,1,1,0,0,1
1,0,0,0,1,0,1,0,0,0
1,0,0,0,0,0,1,0,0,1
1,0,0,0,1,1,0,0,0,1
1,0,0,0,0,1,0,0,0,1
1,0,0,0,1,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0
0,0,0,1,0,1,1,0,0,0
0,0,0,1,1,0,1,0,0,0
0,0,0,1,0,0,1,0,0,0
0,0,0,1,1,1,0,0,0,0
0,0,0,1,0,1,0,0,0,1
0,0,0,1,1,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1
0,0,0,0,0,1,1,0,0,0
0,0,0,0,1,0,1,0,0,1
0,0,0,0,0,0,1,0,0,0
0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: X-Rule

Oh, awesome! Glider guns GGa and GGb in RLE format:

Code: Select all

x = 57, y = 7, rule = x-rule
2o24b2o2b2o23b2o$bo24bo4bo23bo$6b2o12b2o15bo8bo2bo$5bo16bo13bo13bo$6b
2o12b2o15bo8bo2bo$bo24bo4bo23bo$2o24b2o2b2o23b2o!

gamer54657 wrote:God save us all.
God save humanity.

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Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: X-Rule

Code: Select all

x = 4, y = 4, rule = x-rule
o$o$bo$2b2o!  Code: Select all x = 9, y = 9, rule = x-rule bo$obo$obo4$6b2o$8bo$6b2o!

shifter

Code: Select all

x = 3, y = 6, rule = x-rule
b2o3$2bo$bo$bo!  Airy Clave White It Nay Code: Select all x = 17, y = 10, rule = B3/S23 b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

danieldb
Posts: 163
Joined: July 15th, 2015, 4:27 pm
Location: Right behind you holding a knife
Contact:

Re: X-Rule

p2:

Code: Select all

x = 5, y = 5, rule = x-rule
bobo$o3bo2$o3bo$bobo!  Splitters(?): Code: Select all x = 55, y = 8, rule = x-rule o7bo37bo7bo$o7bo37bo7bo4$50bo$4bo44bobo$3bobo!  Oscillators that follow an unknown (as of now) formula: Code: Select all x = 5, y = 7, rule = x-rule o3bo$o3bo$2bo$bobo2$o3bo$o3bo!


Code: Select all

x = 18, y = 40, rule = x-rule
2o4b2o$3bo$2bo$3bo$2o4b2o3$2o6b2o$3bo$2bo$3bo$2o6b2o3$2o8b2o$3bo$2bo$3bo$2o8b2o3$2o10b2o$3bo$2bo$3bo$2o10b2o3$2o12b2o$3bo$2bo$3bo$2o12b2o3$2o14b2o$3bo$2bo$3bo$2o14b2o!  Sequence is 2, 8, 14, 22, 30, 38, 46, 54, 62, 70, 78, 86, 94, 102, 110, 118, 126, 134, 142, ... Glider eater: Code: Select all x = 3, y = 5, rule = x-rule 2bo$2bo$o$bo$bo!  Last edited by danieldb on November 1st, 2015, 1:23 pm, edited 2 times in total. moved to drc M. I. Wright Posts: 372 Joined: June 13th, 2015, 12:04 pm Re: X-Rule Saka wrote: Code: Select all x = 4, y = 4, rule = x-rule o$o$bo$2b2o!

This was mentioned in the paper.

@danieldb Neat! Most soups just devolve into still-lifes and spaceships, so I was starting to think that the rule didn't have any oscillators.

By the way, I kinda doubt that guns are impossible in the isotropic X-rule predecessor... I'll make a ruletable for it soon to search around for one.
Last edited by M. I. Wright on November 4th, 2015, 3:03 pm, edited 2 times in total.
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danieldb
Posts: 163
Joined: July 15th, 2015, 4:27 pm
Location: Right behind you holding a knife
Contact:

Re: X-Rule

orthogonal glider to diagonal glider and *almost* diag to ortho:

Code: Select all

x = 12, y = 11, rule = x-rule
7bobo$8bo$o$o7$10b2o!

moved to drc

danieldb
Posts: 163
Joined: July 15th, 2015, 4:27 pm
Location: Right behind you holding a knife
Contact:

Re: X-Rule

selfdestruct reflectors:

Code: Select all

x = 7, y = 328, rule = x-rule
bo3bo$bo3bo$3bo$2bobo3$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5b
o$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o 5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo 9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o
5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo9$o5bo$o5bo!  moved to drc jmgomez Posts: 43 Joined: October 6th, 2015, 1:42 am Re: X-Rule Hello! I’m sorry that I’m late, I was so busy so until today I see the forum. I’m glad that you find the relation between mapping and neighborhood! Yes! The X-rule mapping correspond to the next neighborhoods: Best Regards -José Manuel Gómez Soto A for awesome Posts: 1950 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: Re: X-Rule A rake: Code: Select all x = 16, y = 27, rule = x-rule 7bobo2bobo$7bobo2bobo$6b2ob4ob2o$8bo4bo$8bo4bo$10b2o3$10b2o$9bo2bo$2bo 7b2o$bobo3b2o4b2o$5bob3o2b3o$o3b3obo4bobo$5bobo6bo$2bo7b2o2$8bo$8bo$6b 2ob2o$8bo$8bo3$9bo2$8b2o!  Another: Code: Select all x = 8, y = 9, rule = x-rule bobo$o$bobo2$3bo$bo$o$bo5bo$3bo!

And another:

Code: Select all

x = 13, y = 4, rule = x-rule
bo4bo4bo$obo2bobo2bobo2$10bobo!

x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

danieldb
Posts: 163
Joined: July 15th, 2015, 4:27 pm
Location: Right behind you holding a knife
Contact:

Re: X-Rule

A sideways only glider:

Code: Select all

x = 4, y = 4, rule = x-rule
3bo$bo$o$bobo!  And 3 tagalongs: Code: Select all x = 18, y = 11, rule = x-rule 15bo$15bo$13bo3bo2$7b3o4b3o$bo$bo2$bo6bo6bo$obo4bobo4bobo$obo4bobo4bob o!  This is certainly an amazing rule moved to drc jmgomez Posts: 43 Joined: October 6th, 2015, 1:42 am Re: X-Rule Hello, X-Rule have oscillators, actually one of the is the name of rule "X". Try with this And of course if you put the reflector in large distances you will obtain oscillators of different periodic behavior. Sorry I do not send Golly format. Could somebody explain to me how put the X-Rule in Golly, I copy the .table file that publish M. I. Wright here but I don't know the next step in order that work in Golly? Best Regards -jm PD: Nice oscillator Aidan F. Pierce! danieldb Posts: 163 Joined: July 15th, 2015, 4:27 pm Location: Right behind you holding a knife Contact: Re: X-Rule A for awesome wrote:A rake: Code: Select all x = 16, y = 27, rule = x-rule 7bobo2bobo$7bobo2bobo$6b2ob4ob2o$8bo4bo$8bo4bo$10b2o3$10b2o$9bo2bo$2bo 7b2o$bobo3b2o4b2o$5bob3o2b3o$o3b3obo4bobo$5bobo6bo$2bo7b2o2$8bo$8bo$6b 2ob2o$8bo$8bo3$9bo2$8b2o!  Another: Code: Select all x = 8, y = 9, rule = x-rule bobo$o$bobo2$3bo$bo$o$bo5bo$3bo!

And another:

Code: Select all

x = 13, y = 4, rule = x-rule
bo4bo4bo$obo2bobo2bobo2$10bobo!

Cool we can now create spaceships and puffers:

Ship called "Collider":

Code: Select all

x = 34, y = 27, rule = x-rule
7bobo2bobo4bobo2bobo$7bobo2bobo4bobo2bobo$6b2ob4ob2o2b2ob4ob2o$8bo4bo 6bo4bo$8bo4bo6bo4bo$10b2o10b2o3$10b2o10b2o$9bo2bo8bo2bo$2bo7b2o10b2o7b
o$bobo3b2o4b2o4b2o4b2o3bobo$5bob3o2b3o4b3o2b3obo$o3b3obo4bobo2bobo4bob 3o3bo$5bobo6bo4bo6bobo$2bo7b2o10b2o7bo2$8bo16bo$8bo16bo$6b2ob2o12b2ob
2o$8bo16bo$8bo16bo3$9bo14bo2$8b2o14b2o!

Domino Puffer:

Code: Select all

x = 35, y = 30, rule = x-rule
7bobo2bobo$7bobo2bobo$6b2ob4ob2o$8bo4bo6bobo2bobo$8bo4bo6bobo2bobo$10b 2o7b2ob4ob2o$21bo4bo$21bo4bo$10b2o11b2o$9bo2bo$2bo7b2o$bobo3b2o4b2o8b 2o$5bob3o2b3o7bo2bo$o3b3obo4bobo7b2o7bo$5bobo6bo5b2o4b2o3bobo$2bo7b2o 8b3o2b3obo$19bobo4bob3o3bo$8bo11bo6bobo$8bo14b2o7bo$6b2ob2o$8bo17bo$8b o17bo$24b2ob2o$26bo$9bo16bo2$8b2o$25bo2$25b2o!  Pre-Block Puffer: Code: Select all x = 52, y = 38, rule = x-rule 37bobo2bobo$37bobo2bobo$36b2ob4ob2o$38bo4bo$38bo4bo$40b2o3$40b2o$39bo
2bo$7bobo2bobo25b2o7bo$7bobo2bobo10bobo2bobo4b2o4b2o3bobo$6b2ob4ob2o9b obo2bobo4b3o2b3obo$8bo4bo10b2ob4ob2o2bobo4bob3o3bo$8bo4bo12bo4bo5bo6bo bo$10b2o14bo4bo8b2o7bo$28b2o$43bo$10b2o31bo$9bo2bo15b2o11b2ob2o$2bo7b 2o15bo2bo12bo$bobo3b2o4b2o5bo7b2o13bo$5bob3o2b3o4bobo3b2o4b2o$o3b3obo
4bobo7bob3o2b3o$5bobo6bo3bo3b3obo4bobo8bo$2bo7b2o11bobo6bo$20bo7b2o12b 2o$8bo$8bo17bo$6b2ob2o15bo$8bo15b2ob2o$8bo17bo$26bo2$9bo$27bo$8b2o$26b 2o!  Forward Rake: Code: Select all x = 52, y = 40, rule = x-rule 37bobo2bobo$37bobo2bobo$19bobo2bobo9b2ob4ob2o$19bobo2bobo11bo4bo$18b2o b4ob2o10bo4bo$20bo4bo14b2o$20bo4bo$22b2o$40b2o$39bo2bo$22b2o16b2o7bo$
21bo2bo12b2o4b2o3bobo$22b2o7bo5b3o2b3obo$7bobo2bobo4b2o4b2o3bobo3bobo
4bob3o3bo$7bobo2bobo4b3o2b3obo8bo6bobo$6b2ob4ob2o2bobo4bob3o3bo6b2o7bo
$8bo4bo5bo6bobo$8bo4bo8b2o7bo11bo$10b2o31bo$25bo15b2ob2o$25bo17bo$10b
2o11b2ob2o15bo$9bo2bo12bo$2bo7b2o13bo$bobo3b2o4b2o27bo$5bob3o2b3o$o3b 3obo4bobo8bo17b2o$5bobo6bo$2bo7b2o12b2o2$8bo$8bo$6b2ob2o$8bo$8bo3$9bo 2$8b2o!

moved to drc

danieldb
Posts: 163
Joined: July 15th, 2015, 4:27 pm
Location: Right behind you holding a knife
Contact:

Re: X-Rule

jmgomez wrote:Hello,

X-Rule have oscillators, actually one of the is the name of rule "X".

Try with this

And of course if you put the reflector in large distances you will obtain oscillators of different periodic behavior.

Sorry I do not send Golly format.
Could somebody explain to me how put the X-Rule in Golly, I copy the .table file that publish M. I. Wright here but I don't know the next step in order that work in Golly?

Best Regards
-jm

PD: Nice oscillator Aidan F. Pierce!

Check my other posts for a simplification of this
moved to drc

thunk
Posts: 170
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

Re: X-Rule

danieldb wrote:Oscillators that follow an unknown (as of now) formula:
From the third and onward, it's just a horizontal glider between two 180 deg reflectors. Every 2 ticks increases period by 8.
The paper wrote:The complete periods p are shown below. For increasing even gaps g, period p increases by +8 time-steps.
M. I. Wright wrote: @danieldb Neat! Most soups just devolve into still-lifes and spaceships, so I was starting to think that the rule didn't have any oscillators.
Pseudoclock is also a p2 oscillator:

Code: Select all

x = 4, y = 4, rule = x-rule
2bo$2o$2b2o$bo! EDIT: added reference. Last edited by thunk on November 1st, 2015, 3:59 pm, edited 1 time in total. "What's purple and commutes? The Evanston Express." jmgomez Posts: 43 Joined: October 6th, 2015, 1:42 am Re: X-Rule Nice!! -jm Billabob Posts: 145 Joined: April 2nd, 2015, 5:28 pm Re: X-Rule Another P2: Code: Select all x = 6, y = 8, rule = x-rule 4b2o$5bo$3bo$3b2o$b2o$2bo$o$2o!

▄▀
▀▀▀

thunk
Posts: 170
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

Re: X-Rule

jmgomez wrote:Sorry I do not send Golly format.
Could somebody explain to me how put the X-Rule in Golly, I copy the .table file that publish M. I. Wright here but I don't know the next step in order that work in Golly?
You can select dvgrn's rule table and copy, then paste, it into the Golly window (M. I. Wright's tables, as stated, are not the X-Rule). It should then say "created (directory)\x-rule". Then you can just draw in the open window, or paste other patterns in the same way.
"What's purple and commutes?
The Evanston Express."

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Re: X-Rule

Thanks for you explain to me.

I get it!!

Thank you so much!!!

-jm

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: X-Rule

Oops, I forgot about the oscillators mentioned in the paper

jm: Great! Golly's pattern format is just run-length encoding; 'o' stands for an ON cell, 'b' is for an OFF cell, and '$' is a newline. So this: Code: Select all 2bo2$o3bo2$bobo$2bo!

is the same as this ('.' is for OFF and * is for ON):

Code: Select all

..*..
.....
*...*
.....
.*.*.
..*..

The rule-table format is pretty straightforward as well. First comes the header:

Code: Select all

@RULE <rulename>

comments can go here, or included below if preceded by a #

@TABLE
n_states:2            #number of cell states. X-rule only has two (on and off), but Golly supports up to 256
neighborhood:Moore    #self-explanatory. Other neighborhoods include vonNeumann and hexagonal

After that is the transitions. This is the format for a Moore neighborhood:

Code: Select all

s,1,2,3,4,5,6,7,8,f
where 's' stands for 'starting cell state' and 'f' means 'final'. The numbers follow this configuration:

Code: Select all

8 1 2
7 s 3
6 5 4

For instance, the transition

Code: Select all

0,1,1,1,0,1,1,0,0,1
means that in

Code: Select all

1 1 1
0 0 1
1 1 0

the middle cell (0) will become 1.

Hope this clears things up! You can look in Golly's Help menu for more details.
Last edited by M. I. Wright on November 1st, 2015, 6:20 pm, edited 1 time in total.
gamer54657 wrote:God save us all.
God save humanity.

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jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Re: X-Rule

M. I. Wright:

Best Regards
-jm

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Re: X-Rule

Hello eveybody,

Andrew Wuensche and me, just explore the minimun patterns (and few more) in order to show logical universal computation in X-Rule, so they are many possibilities to explore!

You are so welcome!

Best Regards
-jm