Rule:Hutton32b

@RULE Hutton32b

Hutton32 - a modified version of von Neumann's cellular automaton.
Tim Hutton <tim.hutton@gmail.com>
Motivation: In the original von Neumann transition rules, lines of
transmission states can extend themselves by writing out binary
signal trains, e.g. 10000 for extend with a right-directed ordinary
transmission state (OTS). But for construction, a dual-stranded
construction arm (c-arm) is needed, simply because the arm must be
retracted after each write. I noticed that there was room to add the
needed write-and-retract operation by modifying the transition rules
slightly. This allows the machine to be greatly reduced in size and
speed of replication.
Another modification was made when it was noticed that the
construction could be made rotationally invariant simply by basing
the orientation of the written cell on the orientation of the one
writing it. Instead of "write an up arrow" we have "turn left". This
allows us to spawn offspring in different directions and to fill up
the space with more and more copies in a manner inspired by
Langton's Loops.
Having modified the von Neumann CA transition rules, a new form of
self-replicator becomes possible, one that replicates much faster
and exhibits exponential growth in the initial stages.
A single OTS line can now act as a c-arm in any direction. Below are
the signal trains:
100000 : move forward (write an OTS arrow in the same direction)
100010 : turn left
10100 : turn right
100001 : write a forward-directed OTS and retract
100011 : write a left-directed OTS and retract
10011 : write a reverse-directed OTS and retract
10101 : write a right-directed OTS and retract
101101 : write a forward-directed STS and retract
110001 : write a left-directed STS and retract
110101 : write a reverse-directed STS and retract
111001 : write a right-directed STS and retract
1111 : write a confluent state and retract
101111 : retract
Achieving these features without adding new states required making
some slight changes elsewhere, though hopefully these don't affect
the computation- or construction-universality of the CA. The most
important effects are listed here:
1) OTS's cannot destroy special transmission states (STS's). This
functionality was used in von Neumann's construction and read-
write arms but isn't needed for the logic organs, as far as I
know. The opposite operation is still enabled.
2) STS lines can only construct one cell type: an OTS in the forward
direction. Some logic organs will need to be redesigned.
Under this modified JvN rule, a self-replicator can be much smaller,
consisting only of a tape contained within a repeater-emitter loop.
One early example consisted of 5521 cells in total, and replicates
in 44,201 timesteps, compared with 8 billion timesteps for the
smallest known Nobili32 replicator. This became possible because the
construction process runs at the same speed as a moving signal,
allowing the tape to be simply stored in a repeater-emitter loop.
The machine simply creates a loop of the right size (by counting
tape circuits) before allowing the tape contents to fill up their
new home.
The rotational invariance allows the machine to make multiple copies
oriented in different directions. The population growth starts off
as exponential but soons slows down as the long tapes obstruct the
new copies.
Some context for these modifications to von Neumann's rule table:
Codd simplified vN's CA to a rotationally-invariant 8 states.
Langton modified this to make a self-replicating repeater-emitter,
his 'loops'. Other loops were made by Sayama, Perrier, Tempesti,
Byl, Chou-Reggia, and others. So there are other CA derived from
vN's that support faster replication than that achieveable here, and
some of them retain the computation- and construction-universality
that von Neumann was considering. Our modifications are mostly a
historical exploration of the possibility space around vN's CA, to
explore the questions of why he made the design decisions he did.
In particular, why didn't von Neumann design for a tape loop stored
within a repeater-emitter? It would have made his machine much
simpler from the beginning. Why didn't he consider write-and-
retraction instead of designing a complicated c-arm procedure? Of
course this is far from criticism of vN - his untimely death
interrupted his work in this area.
Some details of the modifications are given below:
The transition rules are as in Nobili32 (or JvN29), except the
following:
1) The end of an OTS wire, when writing a new cell, adopts one of
two states: excited OTS and excited STS, standing for bits 1 and
0 respectively. After writing the cell reverts to being an OTS.
2) A sensitized cell that is about to revert to an arrow bases its
direction upon that of the excited arrow that is pointing to it.
3) A TS 'c', with a sensitized state 's' on its output that will
become an OTS next (based on the state of 'c'), reverts to the
ground state if any of 'c's input is 1, else it quiesces.
4) A TS 'c', with a sensitized state 's' on its output that will
become a confluent state next (based on the state of 'c'),
reverts to the first sensitized state S is any of 'c's input is
one, else it reverts to the ground state.
5) A TS 'c', with an STS on its output, reverts to the ground state
if any of 'c's input is 1.
The body of the machine looks fiddly but it only does these things:
1) detect a unique mark on the tape as it goes round
2) starts and stops a 6-period pulser
3) codes for: extend, turn left, turn left, extend some more
4) counts when 3 tape marks have gone past, and switches coder
5) when finished writing an empty tape of the right length,
divert the tape to copy itself into the new holder
6) after the tape is copied across, it separates itself from its
old tape to prevent infection spreading from multiple copies.
=============================================================================
Hutton32b - (almost) backward compatible modification of Hutton32 CA.
Frederica Bernkastel <bernkastel.frederica@protonmail.com>
1) The <25,10,11,12,9> state (and rotations) will now work as a very
small (3x3) XNOR logic gate.
2) Added forgotten set of rules <21,0,0,0,28,21>, to make the special
transitive state consistent with the regular one. It will receive signal,
even if can't transmit one.
3) Added forgotten set of rules <29,12,9,0,13,25>.
=============================================================================
rules: 315
Golly rule-table format.
Each rule: C,N,E,S,W,C'
Default for transitions not listed: no change

@TABLE

n_states:32 neighborhood:vonNeumann symmetries:none

var a={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var b={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var c={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var d={0,8} var e={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var f={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var g={0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var h={0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var i={0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31} var j={0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31} var k={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31} var l={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31} var m={5,7} var n={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31} var o={15,23} var p={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31} var q={0,1,2,3,4,6,7,9,10,11,12,13,14,15,16,21,22,24,25,26,27,28,29,30,31} var r={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31} var s={13,27,28,29,31} var t={9,10,11,12,13,14,15,16,25,26,27,28,29,30,31} var u={14,27,28,30,31} var v={0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,30} var w={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31} var x={5,8,17,18,19,20,23} var y={16,27,28,30,31} var z={0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,29} var A={16,24,27,28,30,31} var B={5,8,17,18,19,20} var C={0,1,2,3,4,6,7,9,10,11,12,13,14,15,16,21,22,23,25,26,27,28,29,30,31} var D={15,27,28,29,31} var E={0,1,2,3,4,6,7,9,10,11,12,13,14,15,16,22,23,24,25,26,27,28,29,30,31} var F={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,30} var G={0,1,2,3,4,6,7,9,10,11,12,13,14,15,16,21,23,24,25,26,27,28,29,30,31} var H={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,29} var I={0,1,2,3} var J={4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31} var K={4,8,17,18,19,20} var L={4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31} var M={4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31} var N={4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31} var O={17,18,19,20,23} var P={21,27,28,29,31} var Q={17,18,19,20,24} var R={22,27,28,30,31} var S={17,18,19,20,21} var T={17,18,19,20,22} var U={24,27,28,30,31} var V={23,27,28,29,31} var W={0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,25,26,29} var X={1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var Y={0,1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,23,24,25,26,29} var Z={0,1,2,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,30} var aa={1,2,3,4} var ab={5,6,7,8} var ac={5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var ad={0,1,2,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var ae={9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var af={0,1,2,3,4,5,6,7,8} var ag={0,1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var ah={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var ai={0,1,2,3,4,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,24,25,26,30} var aj={5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var ak={9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var al={0,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var am={5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var an={0,1,2,3,4,5,6,7,8,9} var ao={0,1,2,3,4,5,6,7,8,9,10,11,12,13} var ap={0,1,2,3,4,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var aq={1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var ar={5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var as={9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31} var at={25,27} var au={0,1,2,3,4,5,6,7,8,25,26,27,28,29,30,31} var av={0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31} var aw={0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31} var ax={0,1,2,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31} var ay={0,1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31} var az={9,10,11,13,14,15,16,17,18,19,20,21,22,23} var aA={9,10,11,13,14,15,17,18,19,21,22,23} var aB={9,10,12,13,14,16,17,18,20,21,22,24} var aC={0,1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31} var aD={25,30,31} var aE={10,18} var aF={0,1,2,3,4,5,6,7,8,10,11,12,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31} var aG={25,29,31} var aH={9,17} var aI={25,29,30} var aJ={11,15,19} var aK={9,11,12,13,15,16,17,19,20,21,23,24} var aL={11,19} var aM={10,11,12,14,15,16,18,19,20,22,23,24} var aN={0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31} var aO={14,18} var aP={0,1,2,3,4,5,6,7,8,13,17,25,26,27,28,29,30,31} var aQ={0,1,2,3,4,5,6,7,8,14,18,25,26,27,28,29,30,31} var aR={0,1,2,3,4,5,6,7,8,17,25,26,27,28,29,30,31} var aS={12,20} var aT={12,16,20} var aU={9,10,12,13,14,16,17,18,19,20,21,22,24} var aV={15,19} var aW={26,28} var aX={0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31} var aY={0,1,2,3,4,5,6,7,8,10,11,12} var aZ={0,1,2,3,4,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31} var ba={27,29,30,31} var bb={13,17} var bc={29,31} var bd={29,30} var be={30,31} var bf_n={12,16} var bf_s={10,14} var bf_w={ 9,13} var bf_e={11,15} var bi_s={0,1,2,3,4,5,6,7,8,10,14,18,25,26,27,28,29,30,31} var bi_n={0,1,2,3,4,5,6,7,8,12,16,20,25,26,27,28,29,30,31} var bi_e={0,1,2,3,4,5,6,7,8,11,15,19,25,26,27,28,29,30,31} var bi_w={0,1,2,3,4,5,6,7,8, 9,13,17,25,26,27,28,29,30,31} var bj_n={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,29} var bj_s={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,29} var bj_w={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,30} var bj_e={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,30} var bh={0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31} var bj={29,30,31}

0,a,b,c,13,1 d,e,f,g,21,9 0,a,b,14,h,1 d,e,f,22,i,10 0,a,15,g,h,1 d,e,23,j,i,11 0,16,f,g,h,1 d,24,k,j,i,12 1,e,f,g,h,2 1,a,b,c,13,3 1,a,b,14,h,3 1,a,15,g,h,3 1,16,f,g,h,3 2,e,f,g,h,4 2,a,b,c,13,5 2,a,b,14,h,5 2,a,15,g,h,5 2,16,f,g,h,5 3,e,f,g,h,6 3,a,b,c,13,7 3,a,b,14,h,7 3,a,15,g,h,7 3,16,f,g,h,7 4,e,f,g,h,8 4,a,b,c,13,11 4,a,b,14,i,12 4,a,b,14,21,11 4,a,15,j,i,9 4,a,15,g,21,11 4,a,15,22,i,12 4,16,k,j,i,10 4,16,f,g,21,11 4,16,f,22,i,12 4,16,23,j,i,9 5,l,k,j,i,7 5,a,b,c,13,17 5,e,f,g,21,12 5,a,b,14,i,18 m,a,b,14,21,25 5,e,f,22,i,9 5,a,15,j,i,19 m,a,15,g,21,25 5,a,15,22,i,26 5,e,23,j,i,10 5,16,k,j,i,20 m,16,f,g,21,25 5,16,f,22,i,26 5,16,23,j,i,27 5,24,k,j,i,11 6,e,n,j,i,17 6,a,b,c,13,19 6,e,f,g,21,18 6,a,b,14,i,20 6,a,b,14,21,19 6,e,f,22,i,19 6,a,15,g,21,19 6,a,15,22,i,20 6,e,23,j,i,20 6,16,k,j,i,18 6,16,f,g,21,19 6,16,f,22,i,20 6,16,o,j,i,17 7,l,k,j,i,15 7,a,b,c,13,25 7,e,f,g,21,20 7,a,b,14,i,25 7,e,f,22,i,17 7,a,15,g,i,25 7,e,23,j,i,18 7,16,f,g,i,25 7,24,k,j,i,19 8,a,b,c,13,10 8,a,b,14,i,11 8,a,b,14,21,10 8,a,15,j,i,12 8,a,15,g,21,10 8,a,15,22,i,11 8,16,k,j,i,9 8,16,f,g,21,10 8,16,f,22,i,11 8,16,23,j,i,12 9,p,q,r,s,13 t,a,b,c,21,0 9,p,q,u,v,13 t,a,b,22,w,0 9,a,x,r,s,0 9,a,x,u,v,0 t,a,23,r,w,0 9,y,q,z,v,13 9,A,B,z,v,0 t,24,n,r,w,0 10,C,n,r,s,14 10,C,n,u,v,14 10,C,D,z,v,14 10,B,n,r,s,0 10,B,n,u,v,0 10,B,D,z,v,0 11,p,n,u,E,15 11,p,n,u,B,0 11,p,D,z,E,15 11,p,D,z,B,0 11,y,F,z,E,15 11,y,F,z,B,0 12,p,n,G,s,16 12,p,n,B,s,0 12,p,D,G,v,16 12,p,D,B,v,0 12,y,F,G,v,16 12,y,F,B,v,0 13,H,I,z,v,21 13,H,J,z,v,9 13,p,K,r,s,0 13,p,K,u,v,0 13,H,7,z,v,0 13,p,7,r,s,1 13,p,7,u,v,1 13,y,K,z,v,0 13,y,7,z,v,1 14,I,F,z,v,22 14,L,F,z,v,10 14,K,n,r,s,0 14,K,n,u,v,0 14,K,D,z,v,0 14,7,F,z,v,0 14,7,n,r,s,1 14,7,n,u,v,1 14,7,D,z,v,1 15,H,F,z,I,23 15,H,F,z,M,11 15,H,F,z,7,0 15,p,n,u,K,0 15,p,n,u,7,1 15,p,D,z,K,0 15,p,D,z,7,1 15,y,F,z,K,0 15,y,F,z,7,1 16,H,F,I,v,24 16,H,F,N,v,12 16,p,n,K,s,0 16,H,F,7,v,0 16,p,n,7,s,1 16,p,D,K,v,0 16,p,D,7,v,1 16,y,F,K,v,0 16,y,F,7,v,1 O,a,b,c,13,0 17,e,f,g,P,21 Q,a,b,14,c,0 17,e,f,R,v,21 S,a,15,b,c,0 T,16,a,b,c,0 17,U,f,z,v,21 18,e,f,g,P,22 18,e,f,R,v,22 18,e,V,z,v,22 19,e,f,R,h,23 19,e,V,z,h,23 19,U,F,z,h,23 20,e,f,g,P,24 20,e,V,g,v,24 20,U,F,g,v,24 21,bj_n,0,bj_s,bj_w,17 21,W,X,Y,Z,17 21,a,aa,b,13,13 21,a,aa,14,h,13 21,e,ab,g,9,9 21,a,ac,b,13,0 21,e,ab,10,ad,9 21,a,ac,14,h,0 21,H,ae,z,v,17 21,0,9,10,af,17 21,12,ab,ag,ad,9 21,16,aa,g,h,13 21,16,ac,g,h,0 22,0,bj_e,bj_s,bj_w,18 22,ah,ai,Y,Z,18 22,aa,a,b,13,14 22,aa,a,14,h,14 22,aa,15,g,h,14 22,ab,f,g,9,10 22,aj,a,b,13,0 22,ab,f,10,ad,10 22,aj,a,14,h,0 22,ab,11,ag,ad,10 22,aj,15,g,h,0 22,ak,F,z,v,18 22,9,0,10,af,18 23,bj_n,bj_e,bj_s,0,19 23,W,ai,Y,h,19 23,H,F,z,al,19 23,e,f,10,ab,11 23,a,b,14,aa,15 23,a,b,14,am,0 23,0,11,an,al,19 23,e,11,ag,ab,11

23,0,D,ao,0,19 //hmm...

23,a,15,g,aa,15 23,a,15,g,am,0 23,12,ap,ag,ab,11 23,16,f,g,aa,15 23,16,f,g,am,0 24,bj_n,bj_e,0,bj_w,20 24,W,ai,aq,Z,20 24,a,b,aa,13,16 24,e,f,ab,9,12 24,a,b,ar,13,0 24,H,F,as,v,20 24,e,11,ab,ad,12 24,0,11,9,af,20 24,a,15,aa,h,16 24,a,15,ar,h,0 24,12,ap,ab,ad,12 24,16,f,aa,h,16 24,16,f,ar,h,0

XNOR gate

at,aA,11,aK, 9,26 aW,aA,11,aK, 9,28 at,aA,11,aK,13,25 aW,aA,11,aK,13,27 at,aA,15,aK, 9,25 aW,aA,15,aK, 9,27 at,aA,15,aK,13,26 aW,aA,15,aK,13,28 at,12,aB,10,aM,26 aW,12,aB,10,aM,28 at,16,aB,10,aM,25 aW,16,aB,10,aM,27 at,12,aB,14,aM,25 aW,12,aB,14,aM,27 at,16,aB,14,aM,26 aW,16,aB,14,aM,28

at,au,av,aw,13,26 at,au,av,14,ax,26 at,au,15,ay,ax,26 at,az,au,aw,13,26 at,az,au,14,ax,26 at,aA,aB,aC,13,26 aD,aA,aB,aE,13,29 at,aA,aB,14,aF,26 aG,aA,aB,14,aH,30 aI,aA,aB,14,13,31 aD,aA,aJ,aK,13,29 aG,aA,aL,14,aM,30 at,az,15,au,aN,26 at,aA,15,aK,aF,26 aD,aA,15,aK,aH,29 aD,aA,15,aE,aM,29 at,az,15,aO,aP,26 aI,aA,15,14,aM,31 at,az,19,aQ,13,26 at,az,19,14,aR,26 aD,aS,aB,aK,13,29 aG,aT,aB,14,aM,30 aD,aS,15,aK,aM,29 at,16,au,ay,ax,26 at,16,aU,au,aN,26 at,16,aB,aK,aF,26 aG,16,aB,aK,aH,30 aI,16,aB,aK,13,31 aG,16,aB,aE,aM,30 at,16,aU,aO,aP,26 aG,16,aL,aK,aM,30 at,16,aV,aK,aP,26 aI,16,15,aK,aM,31 at,16,aV,aO,aM,26 at,20,aB,aQ,13,26 at,20,aB,14,aR,26 at,20,15,aK,aP,26 at,20,15,aO,aM,26 at,20,19,aK,13,26 at,20,19,14,aM,26 aW,l,k,j,i,27 26,aX,av,aw,13,28 aW,p,n,10,w,27 26,aX,av,14,ax,28 aW,p,n,aw,9,27 aW,p,11,aw,aN,27 26,0,11,14,aY,27 26,aX,15,ay,ax,28 26,0,15,ao,9,27 26,0,15,10,aY,27 aW,12,av,aw,aN,27 26,12,0,14,aY,27 26,16,aZ,ay,ax,28 ba,l,k,j,i,25 27,p,n,10,w,25 27,p,n,aw,9,25 27,p,11,aw,aN,25 27,0,11,14,aY,25 27,0,15,ao,9,25 27,0,15,10,aY,25 27,aA,aB,14,bb,26 27,aA,aB,18,13,26 27,aA,15,aK,bb,26 27,aA,15,aO,aM,26 27,aA,19,aK,13,26 27,aA,19,14,aM,26 27,12,av,aw,aN,25 27,12,0,14,aY,25 27,16,aB,aK,bb,26 27,16,aB,aO,aM,26 27,16,aV,aK,aM,26 27,20,aB,aK,13,26 27,20,aB,14,aM,26 27,20,15,aK,aM,26

fix of the <29,12,9,0,13,25> rules

bj,0,n,r,w,25 bj,p,0,r,w,25 bj,p,n,0,w,25 bj,p,n,r,0,25

bc,p,k,14,i,30 bd,p,n,14,13,31 bd,p,15,14,i,31 bc,16,k,j,i,30 bd,16,n,j,13,31 bd,16,15,j,i,31 be,l,n,j,13,29 be,l,15,j,i,29

@COLORS

0 0 0 0 1 255 0 0 2 255 125 0 3 255 150 25 4 255 175 50 5 255 200 75 6 255 225 100 7 255 250 125 8 251 255 0 9 89 89 255 10 106 106 255 11 122 122 255 12 139 139 255 13 27 176 27 14 36 200 36 15 73 255 73 16 106 255 106 17 235 36 36 18 255 56 56 19 255 73 73 20 255 89 89 21 185 56 255 22 191 73 255 23 197 89 255 24 203 106 255 25 0 255 128 26 255 128 64 27 255 255 128 28 33 215 215 29 27 176 176 30 24 156 156 31 21 137 137

@ICONS

XPM

"31 961 5 1"

". c #000000" "D c #404040" "C c #808080" "B c #C0C0C0" "W c #FFFFFF"

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