## Embedding Rule-110 into a 2D totalistic Neumann-nbhr. CA

For discussion of other cellular automata.

### Re: Embedding Rule-110 into a 2D totalistic Neumann-nbhr. CA

Embedding rules of a following the following format:
`111 w(1=S8) 110 0101 x(1=B8) 100 y(1=B7) 011 0 010 z(1=S6) 001 y(1=B7) 000 1 `

Rule 1:
`x = 5, y = 3, rule = B1e46/S0123455o\$2bo\$5o!`

Rule 5:
`x = 5, y = 3, rule = B1e46/S01234565o\$2bo\$5o!`

Rule 19:
`x = 5, y = 3, rule = B1e467/S0123455o\$2bo\$5o!`

Rule 23:
`x = 5, y = 3, rule = B1e467/S01234565o\$2bo\$5o!`

And so on.

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Embedding Rule-110 into a 2D totalistic Neumann-nbhr. CA

Well, hope that the following questions might deserve a new topic, but till they are:

All plausible generalizations of Neumann-neighbourhood - on which grids exist such cellular automata that can be realized on euclydean or on hyperbolic finite-dimensional spaces?

This is solved problem in geometry, the list of possible graphs (in hyperbolic cases only compacts count):

1. -dim.: total 1: https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#One_dimension_.28apeirogons.29
2. -dim.:
3. -dim.: 1 euclydean {4,3,4} and 4 compact hyperbolic tessellations: {3,5,3}, {4,3,5}, {5,3,4}, and {5,3,5}
4. -dim.: 3 eucl. ({4,3,3,4}, {3,3,4,3}, {3,4,3,3}) and 5. compact hyp. {3,3,3,5}, {5,3,3,3}, {4,3,3,5}, {5,3,3,4}, {5,3,3,5}

"There are no compact regular tessellations of hyperbolic space of dimension 5 or higher and no paracompact regular tessellations in hyperbolic space of dimension 6 or higher."
And in E^n, n>=5, there is a tessellation, which leads to Z^n grid.

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Joined: May 7th, 2016, 8:53 am

### Re: Embedding Rule-110 into a 2D totalistic Neumann-nbhr. CA

Cuckoo-egg: an isotropic 3-state rule with Moore-neighbourhood simulating rule-110.

The rule:
`@RULE mooreing3@TABLEn_states:3neighborhood:Mooresymmetries:rotate4reflect1,1,0,0,0,0,1,2,2,01,1,0,0,1,2,2,2,2,00,0,0,0,0,0,1,2,2,10,1,0,0,0,2,2,2,2,10,1,0,0,0,0,1,2,2,10,1,0,0,1,2,2,2,2,1@COLORS0 0 0 01 255 255 642 255 64 64`

And a pattern simulating 1D space with pattern '001000':
`x = 6, y = 10, rule = mooreing3:T6,10+32\$5.B\$3.3B\$.3B\$2B.A!`

Pinpoints that Moore-neighbourhood is asymmetric.

Posts: 304
Joined: May 7th, 2016, 8:53 am

### Re: Embedding Rule-110 into a 2D totalistic Neumann-nbhr. CA

Reduced the possible Turing-complete elementary cellular automata candidates. There are 88 really distinct ones, but the following are idempotent, stabilize in at most 4 generations:

`# # W0 W3  W8 W15 W29 W38 W51 W108 W200# # W1 W4 W10 W19 W34 W42 W72 W138 W204# # W2 W5 W12 W24 W36 W46 W76 W170# ./printpattern.py`

The test pattern is same in all runs, the 512-length loop containing all distinct 9-length "b"-"o" strings.

`x = 512, y = 1, rule = W0:T512,0#C loop ends at: 2, loop begins at: 1, bias: 0, velocity: 09bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W1:T512,0#C loop ends at: 3, loop begins at: 1, bias: 0, velocity: 09bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W2:T512,0#C loop ends at: 2, loop begins at: 1, bias: -1, velocity: -1#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W3:T512,0#C loop ends at: 3, loop begins at: 1, bias: 1, velocity: 0.59bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W4:T512,0#C loop ends at: 2, loop begins at: 1, bias: 0, velocity: 0#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W5:T512,0#C loop ends at: 3, loop begins at: 1, bias: 0, velocity: 09bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W8:T512,0#C loop ends at: 3, loop begins at: 2, bias: 0, velocity: 0#C [[ STOP 3 LOOP 2..3 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W10:T512,0#C loop ends at: 2, loop begins at: 1, bias: -1, velocity: -1#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W12:T512,0#C loop ends at: 2, loop begins at: 1, bias: 0, velocity: 0#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W15:T512,0#C loop ends at: 3, loop begins at: 1, bias: 2, velocity: 19bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W19:T512,0#C loop ends at: 4, loop begins at: 2, bias: 0, velocity: 09bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W24:T512,0#C loop ends at: 3, loop begins at: 2, bias: 1, velocity: 1#C [[ STOP 3 LOOP 2..3 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W29:T512,0#C loop ends at: 3, loop begins at: 1, bias: 0, velocity: 09bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W34:T512,0#C loop ends at: 2, loop begins at: 1, bias: -1, velocity: -1#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W36:T512,0#C loop ends at: 3, loop begins at: 2, bias: 0, velocity: 0#C [[ STOP 3 LOOP 2..3 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W38:T512,0#C loop ends at: 4, loop begins at: 2, bias: -2, velocity: -1#C [[ STOP 4 LOOP 2..4 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W42:T512,0#C loop ends at: 2, loop begins at: 1, bias: -1, velocity: -1#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W46:T512,0#C loop ends at: 3, loop begins at: 2, bias: -1, velocity: -1#C [[ STOP 3 LOOP 2..3 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W51:T512,0#C loop ends at: 2, loop begins at: 0, bias: 0, velocity: 09bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W72:T512,0#C loop ends at: 3, loop begins at: 2, bias: 0, velocity: 0#C [[ STOP 3 LOOP 2..3 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W76:T512,0#C loop ends at: 2, loop begins at: 1, bias: 0, velocity: 0#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W108:T512,0#C loop ends at: 4, loop begins at: 2, bias: 0, velocity: 0#C [[ STOP 4 LOOP 2..4 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W138:T512,0#C loop ends at: 2, loop begins at: 1, bias: -1, velocity: -1#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W170:T512,0#C loop ends at: 2, loop begins at: 1, bias: -1, velocity: -1#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W200:T512,0#C loop ends at: 2, loop begins at: 1, bias: 0, velocity: 0#C [[ STOP 2 LOOP 1..2 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`

`x = 512, y = 1, rule = W204:T512,0#C loop ends at: 1, loop begins at: 0, bias: 0, velocity: 0#C [[ STOP 1 LOOP 0..1 ]]9bo7b2o6bobo6b3o5bo2bo5bob2o5b2obo5b4o4bo3bo4bo2b2o4bobobo4bob3o4b2o2bo4b2ob2o4b3obo4b5o3bo3b2o3bo2bobo3bo2b3o3bobo2bo3bobob2o3bob2obo3bob4o3b2o2b2o3b2obobo3b2ob3o3b3o2bo3b3ob2o3b4obo3b6o2bo2bo2bob2o2bo2b2obo2bo2b4o2bobo2b2o2bobobobo2bobob3o2bob2ob2o2bob3obo2bob5o2b2o2b3o2b2obob2o2b2ob2obo2b2ob4o2b3obobo2b3ob3o2b4ob2o2b5obo2b7obobobob2obobob4obob2ob3obob3ob2obob6ob2ob2ob5ob3ob4ob9o!`