Read below the redefinition of the rule. The old one in now renamed FireWorld+old.
This is a somewhat baroque experimental 7-state rule, a superset of FireWorld that enables the following by adding 3 additional states:
1. Diagonal photons (diaphotons), which turn into electrons when they touch wires. The fading diaphoton state is distinct from the fading photon/electron state.
The wiring rules are the same as with the red (photonic) cells: a red cell is born, if surrounded by 1 green (diaphotonic) cell and 2 or 3 wire cells or by 1 orthogonal and 1 diagonal neighboring green cell and 2 or 3 wire cells. This enables trivial conversion of diaphotons into electrons, photons and photon splitters.
2. When two diaphotons touch each other in the orthogonal position, they turn into red cells, thus producing a photon and serving as a natural AND gate.
3. Crossings of photon and diaphoton streams enable natural p6 crossovers and p3 AND-NOT gates.
4. The white cells (state 6) serve as photon to diaphoton converters, diaphoton reflectors and splitters, OR gates and diodes.
As a superset of FireWorld (and the historical "small w" Fireworld), this rule is Turing complete.
The ruletable:
Code: Select all
@RULE FireWorld+
# A fancy combination of FireWorld rule with the Diaphotons rule
# FireWorld is the next generation of Fireworld (03ajkr/2ak/3), proven to be
# capable in itself of universal computation and suitable for constructing logic circuits.
# This new generation of Fireworld is a hybrid rule combining 03ajkr7/2ak/3 and
# a Wireworld-like wiring system. It is fully backward compatible with Fireworld.
# Wires are implemented as the fourth, immutable state. The new rules are as follows:
# 1. A cell is born, if surrounded by 1 living (state 1) cell and 2 or 3 wire cells (state 3).
# 2. A cell is born, if surrounded by 1 orthogonal and 1 diagonal neighboring living cell and 2 or 3 wire cells.
# The last rule mirrors the "2ak" behavior of Fireworld and helps to ignite electrons on wires by free photons.
# Diaphotons is a simple rule that allows spaceships to travel diagonally at the maximum "speed of light".
# The resulting combination rule allows to convert diaphotons to photons and electrons and vice versa.
# Diaphotons have their own 2 states. Another extra state converts photons to diaphtons.
# It also enables a diagonal diode and the OR gate. Interaction between diophotons enables the AND gate.
# As long as these extra states are not used, the rule is 100% backward compatible with FireWorld.
# Partially inspired by Brian Prentice's rule Mites
# Copyright by Yoel Matveyev, 2022
# The GNU General Public License v3.0
@COLORS
0 0 0 0
1 255 0 0
2 255 255 0
3 0 0 255
4 0 255 0
5 0 255 255
6 255 255 255
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,2,5}
var j=i
var k=i
var l=i
var m=i
var n=i
var o=i
var p=i
# The original Fireworld augmented with S7
0,1,1,i,j,k,l,m,n,1
0,1,i,j,1,k,l,m,n,1
1,i,j,k,l,m,n,o,p,1
1,1,1,1,i,j,k,l,m,1
1,1,i,1,1,j,k,l,m,1
1,1,1,i,j,1,k,l,m,1
1,1,i,1,j,k,1,l,m,1
1,1,i,1,j,k,l,m,1,1
1,1,1,1,1,1,1,1,i,1
1,1,1,1,1,1,1,i,1,1
var a2={0,2,6}
var b2=a2
var c2=a2
var d2=a2
var e2=a2
var f2=a2
var g2=a2
var h2=a2
# Diaphtons
0,a2,4,c2,d2,e2,f2,g2,h2,4
0,4,b2,c2,d2,e2,f2,g2,h2,5
0,4,5,c2,d2,e2,f2,g2,h2,5
# A computer-generated list of all possible living cells and wire cells positions
0,i,j,1,l,m,3,o,3,1
0,i,j,3,3,m,n,1,p,1
0,i,j,3,l,1,n,3,p,1
0,i,j,3,l,1,n,o,3,1
0,i,j,3,l,3,n,1,p,1
0,i,j,3,l,3,n,o,1,1
0,i,j,3,l,m,3,o,1,1
0,i,j,3,l,m,n,1,3,1
0,i,j,3,l,m,n,3,1,1
0,i,j,k,3,3,n,o,1,1
0,i,j,k,3,m,1,o,3,1
0,i,j,k,3,m,3,o,1,1
0,i,j,k,3,m,n,1,3,1
0,i,j,k,3,m,n,3,1,1
0,i,j,k,l,1,3,o,3,1
0,i,j,k,l,1,n,3,3,1
0,i,j,k,l,3,1,3,p,1
0,i,j,k,l,3,1,o,3,1
0,i,j,k,l,3,3,1,p,1
0,i,j,k,l,3,3,o,1,1
0,i,j,k,l,3,n,1,3,1
0,i,j,k,l,3,n,3,1,1
0,i,j,k,l,m,3,1,3,1
0,i,j,k,l,m,3,3,1,1
0,3,j,3,l,3,n,1,p,1
0,i,3,k,3,m,3,o,1,1
0,i,j,1,3,m,3,o,3,1
0,i,j,1,l,3,3,o,3,1
0,i,j,1,l,3,n,3,3,1
0,i,j,1,l,m,3,3,3,1
0,i,j,3,1,3,n,o,3,1
0,i,j,3,1,m,3,o,3,1
0,i,j,3,3,1,n,o,3,1
0,i,j,3,3,3,n,1,p,1
0,i,j,3,3,3,n,o,1,1
0,i,j,3,3,m,1,3,p,1
0,i,j,3,3,m,1,o,3,1
0,i,j,3,3,m,3,1,p,1
0,i,j,3,3,m,3,o,1,1
0,i,j,3,3,m,n,1,3,1
0,i,j,3,3,m,n,3,1,1
0,i,j,3,l,1,3,3,p,1
0,i,j,3,l,1,3,o,3,1
0,i,j,3,l,1,n,3,3,1
0,i,j,3,l,3,1,3,p,1
0,i,j,3,l,3,1,o,3,1
0,i,j,3,l,3,3,1,p,1
0,i,j,3,l,3,3,o,1,1
0,i,j,3,l,3,n,1,3,1
0,i,j,3,l,3,n,3,1,1
0,i,j,3,l,m,3,1,3,1
0,i,j,3,l,m,3,3,1,1
0,i,j,k,3,3,3,o,1,1
0,i,j,k,3,3,n,1,3,1
0,i,j,k,3,3,n,3,1,1
0,i,j,k,3,m,1,3,3,1
0,i,j,k,3,m,3,1,3,1
0,i,j,k,3,m,3,3,1,1
0,i,j,k,l,1,3,3,3,1
0,i,j,k,l,3,1,3,3,1
0,i,j,k,l,3,3,1,3,1
0,i,j,k,l,3,3,3,1,1
0,i,j,1,3,m,1,o,3,1
0,i,j,1,3,m,3,o,1,1
0,i,j,1,l,3,n,3,1,1
0,i,j,1,l,3,1,o,3,1
0,i,j,1,l,3,3,o,1,1
0,i,j,1,l,m,3,3,1,1
0,i,j,1,1,m,3,o,3,1
0,i,j,3,l,1,3,o,1,1
0,i,j,3,l,1,n,3,1,1
0,i,j,3,l,1,1,o,3,1
0,i,j,3,l,3,n,1,1,1
0,i,j,3,l,3,1,1,p,1
0,i,j,3,l,m,3,1,1,1
0,i,j,3,1,3,n,1,p,1
0,i,j,3,1,m,3,1,p,1
0,i,j,3,1,m,n,1,3,1
0,i,j,3,1,1,n,3,p,1
0,i,j,3,1,1,n,o,3,1
0,i,j,3,3,m,1,1,p,1
0,i,j,3,3,m,n,1,1,1
0,i,j,3,3,1,n,o,1,1
0,i,j,k,3,m,3,1,1,1
0,i,j,k,3,1,3,o,1,1
0,i,j,k,3,1,n,3,1,1
0,i,j,k,3,1,1,o,3,1
0,i,j,k,3,3,n,1,1,1
0,i,j,k,l,1,3,3,1,1
0,i,j,k,l,1,1,3,3,1
0,i,j,k,l,3,1,1,3,1
0,i,j,k,l,3,3,1,1,1
0,3,1,3,l,3,n,1,p,1
0,3,1,1,l,3,n,3,p,1
0,i,3,1,3,m,3,o,1,1
0,i,3,1,l,3,n,3,1,1
0,i,3,1,l,3,1,o,3,1
0,i,3,1,1,m,3,o,3,1
0,i,3,3,l,1,3,o,1,1
0,i,3,3,l,1,n,3,1,1
0,i,3,3,l,1,1,o,3,1
0,i,3,3,l,3,n,1,1,1
0,i,j,1,3,m,1,3,3,1
0,i,j,1,3,m,3,3,1,1
0,i,j,1,3,3,n,3,1,1
0,i,j,1,3,3,1,o,3,1
0,i,j,1,3,3,3,o,1,1
0,i,j,1,l,3,1,3,3,1
0,i,j,1,l,3,3,3,1,1
0,i,j,1,1,3,n,3,3,1
0,i,j,1,1,3,3,o,3,1
0,i,j,1,1,m,3,3,3,1
0,i,j,3,l,1,3,3,1,1
0,i,j,3,l,1,1,3,3,1
0,i,j,3,l,3,1,1,3,1
0,i,j,3,l,3,3,1,1,1
0,i,j,3,1,3,n,1,3,1
0,i,j,3,1,3,3,1,p,1
0,i,j,3,1,m,3,1,3,1
0,i,j,3,1,1,3,o,3,1
0,i,j,3,1,1,n,3,3,1
0,i,j,3,3,m,1,1,3,1
0,i,j,3,3,m,3,1,1,1
0,i,j,3,3,1,3,o,1,1
0,i,j,3,3,1,n,3,1,1
0,i,j,3,3,1,1,3,p,1
0,i,j,3,3,1,1,o,3,1
0,i,j,3,3,3,n,1,1,1
0,i,j,3,3,3,1,1,p,1
0,i,j,k,3,1,3,3,1,1
0,i,j,k,3,3,1,1,3,1
0,i,j,k,3,3,3,1,1,1
# When touching a wire, a diagonal photons becomes an electron
0,i,j,4,l,m,3,o,3,1
0,i,j,3,3,m,n,4,p,1
0,i,j,3,l,4,n,3,p,1
0,i,j,3,l,4,n,o,3,1
0,i,j,3,l,3,n,4,p,1
0,i,j,3,l,3,n,o,4,1
0,i,j,3,l,m,3,o,4,1
0,i,j,3,l,m,n,4,3,1
0,i,j,3,l,m,n,3,4,1
0,i,j,k,3,3,n,o,4,1
0,i,j,k,3,m,4,o,3,1
0,i,j,k,3,m,3,o,4,1
0,i,j,k,3,m,n,4,3,1
0,i,j,k,3,m,n,3,4,1
0,i,j,k,l,4,3,o,3,1
0,i,j,k,l,4,n,3,3,1
0,i,j,k,l,3,4,3,p,1
0,i,j,k,l,3,4,o,3,1
0,i,j,k,l,3,3,4,p,1
0,i,j,k,l,3,3,o,4,1
0,i,j,k,l,3,n,4,3,1
0,i,j,k,l,3,n,3,4,1
0,i,j,k,l,m,3,4,3,1
0,i,j,k,l,m,3,3,4,1
0,3,j,3,l,3,n,4,p,1
0,i,3,k,3,m,3,o,4,1
0,i,j,4,3,m,3,o,3,1
0,i,j,4,l,3,3,o,3,1
0,i,j,4,l,3,n,3,3,1
0,i,j,4,l,m,3,3,3,1
0,i,j,3,4,3,n,o,3,1
0,i,j,3,4,m,3,o,3,1
0,i,j,3,3,4,n,o,3,1
0,i,j,3,3,3,n,4,p,1
0,i,j,3,3,3,n,o,4,1
0,i,j,3,3,m,4,3,p,1
0,i,j,3,3,m,4,o,3,1
0,i,j,3,3,m,3,4,p,1
0,i,j,3,3,m,3,o,4,1
0,i,j,3,3,m,n,4,3,1
0,i,j,3,3,m,n,3,4,1
0,i,j,3,l,4,3,3,p,1
0,i,j,3,l,4,3,o,3,1
0,i,j,3,l,4,n,3,3,1
0,i,j,3,l,3,4,3,p,1
0,i,j,3,l,3,4,o,3,1
0,i,j,3,l,3,3,4,p,1
0,i,j,3,l,3,3,o,4,1
0,i,j,3,l,3,n,4,3,1
0,i,j,3,l,3,n,3,4,1
0,i,j,3,l,m,3,4,3,1
0,i,j,3,l,m,3,3,4,1
0,i,j,k,3,3,3,o,4,1
0,i,j,k,3,3,n,4,3,1
0,i,j,k,3,3,n,3,4,1
0,i,j,k,3,m,4,3,3,1
0,i,j,k,3,m,3,4,3,1
0,i,j,k,3,m,3,3,4,1
0,i,j,k,l,4,3,3,3,1
0,i,j,k,l,3,4,3,3,1
0,i,j,k,l,3,3,4,3,1
0,i,j,k,l,3,3,3,4,1
# A red cell becomes green upon touching a trigger cell
0,6,1,k,l,m,n,o,p,4
0,1,6,k,l,m,n,o,p,4
0,6,j,1,l,m,n,o,p,4
0,i,1,k,6,m,n,o,p,4
0,1,j,k,6,m,n,o,p,4
0,6,j,k,1,m,n,o,p,4
0,6,j,k,l,1,n,o,p,4
0,i,6,k,l,m,1,o,p,4
# Two orthogonally ajacent green cells become red, enacling an AND gate
0,4,4,k,l,m,n,o,p,1
4,4,j,k,l,m,n,o,p,2
0,i,4,k,l,m,5,o,p,4
# Two green cells react with two white cells, enabling an OR gate
0,6,b2,c2,d2,6,4,g2,4,4
0,4,6,k,6,4,n,o,p,5
# Enabling a diagonal diode
0,6,6,3,l,m,n,o,4,4
0,3,4,k,l,m,n,o,p,4
# Cleaning up, making sure the wires are immutable
1,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,3
4,a,b,c,d,e,f,g,h,0
5,a,b,c,d,e,f,g,h,0
6,a,b,c,d,e,f,g,h,6
Code: Select all
x = 20, y = 25, rule = FireWorld+old
3$8.A2$10.DE2.A4$6.A2.ED3$6.A2.ED4$10.DE2.A2$8.A!
Code: Select all
x = 17, y = 25, rule = FireWorld+old
$5.DE$4.D$3.D7.DE$3.E3.ED$6.E.E$6.DED3$5.D$5.E2$6.E$6.D3$7.DED$7.E2.D
$4.E5.E$4.D4.ED$5.D7.DE$6.D$7.DE!
Code: Select all
x = 17, y = 24, rule = FireWorld+old
$7.DE$6.D$5.D7.DE$4.D4.ED$4.E5.E$7.E2.D$7.DED2$14.E$6.D7.D$6.E5.ED$6.
E5.ED$6.D7.D$14.E2$7.DED$7.E2.D$4.E5.E$4.D4.ED$5.D7.DE$6.D$7.DE!
Code: Select all
x = 23, y = 20, rule = FireWorld+old
2$8.DE$8.E2$8.E6.E.E$8.DE2.DE3.D$8.DE6.E$8.E2$16.D2.E$12.DED4.D$12.E.
E3.D$12.DE3.E$9.ED6.D$16.D$14.ED!
Code: Select all
x = 30, y = 31, rule = FireWorld+old
2$24.ED$26.D$18.ED7.D$19.EDE2.D2.E$18.EDE2$20.E3.E$20.DE.ED$25.ED$14.
ED10.E$15.2E$14.E2DE3$13.2B$13.2A3$11.2B$10.A.A$5.AB.B.A$5.AB.B!
Code: Select all
x = 258, y = 135, rule = FireWorld+old
15$102.F11.F2$104.DE5.ED$104.E7.E2$107.DED$107.E.2F2$110.DE$110.E2$
113.DE$113.E$117.F$116.DF$116.E$116.DF$117.F.DE$113.E5.E$101.FE10.DE$
101.E20.DE$110.E11.E$104.DE4.DE$104.E2.F17.DE$107.F.2F14.E28.F$107.DE
D83.C$128.DE26.DE$104.E7.E15.E27.E38.DE$104.DE5.ED82.E$131.DEF25.DEFC
$102.F11.F16.E.E25.E2.C35.DE$131.DE26.DE.C35.E$130.F2.2A26.AC$133.2B
21.E4.B14C25.DE$156.DE5.AB.AB.AB.AB.A25.E$133.2A41.B$133.2B19.F21.2CA
25.DE$177.CBA.BA.BA.BA15.E$133.2A40.2A.BA.BA.BA.BA.EF$133.2B39.CB2C
11.E.E15.DEF$176.BA11.DED$117.C15.2A38.ED13.F16.BC.E.C$133.2B39.E19.E
11.CA$193.ED10.ACB$116.2A15.2A35.ED33.BC$116.2B15.2B36.E25.E8.CA$196.
ED7.ACB$105.C10.2A15.2A32.ED36.BC$115.A2B15.2B33.E28.2F.2F4.CA$107.DE
6.2C.C79.DED4.ACB$107.E8.A.C14.2A29.ED39.BC$117.BC14.2B30.E29.E7.E.CA
$110.DE6.C76.DE5.ED.C$110.E6.AC14.2A26.ED42.2F2.E$117.BC13.CB2C26.E
30.F14.ED$113.DE3.C13.C2.B$113.E3.AC13.CA24.ED52.E$117.BC40.E51.ED$
116.D.C$115.F2.C17.DE17.ED58.E$136.E19.E57.ED$14.F10.F$15.DE6.ED92.2A
20.DE11.ED64.E$15.E8.E31.F60.2B20.E13.E63.ED$19.2F36.DE27.F$18.D2.D
35.E26.ED31.2A23.DE5.ED70.E$19.2B64.E31.2B23.E7.E69.ED$15.E8.E35.DE$
15.DE2.2A2.ED35.E20.ED34.2A26.DED76.E$14.F4.2B4.F56.E31.C2.2B2.C23.E.
E75.ED$63.DE39.B.AB.AB.AB8.BA.BA.BA.BA.BA.BA.BA.BA2.F$19.2A42.E14.ED
22.C.B.AB.AB.ABC2A2C2ACBA.BA.BA.BA.BA.BA.BA.BA2.C79.E$19.2B58.E33.ACA
B2CBACA103.ED$30.FE34.DE$19.2A9.E35.E8.ED40.2A111.E$19.2B55.E40.2B
110.ED$33.DE34.DE2F$19.2A12.E35.E3.D43.2A114.E$18.CB2C33.C16.B44.2B
113.ED$18.C2.B14.DE16.BA.BA.BA.BA.BA.BA2CA.BA.BA.BA.BA.BA.BA.BA.BA.BA
.BA.BA.BA.B.C$18.CA16.E16.B.C.BA.BA.BA.BA.BA2CA.BA.BA.BA.BA.BA.BA.BA.
BA.BA.BA.BA.BA.B5.2A117.E$18.CB35.CB15.B44.2B116.ED$18.C20.DE13.CA13.
E3.D$18.CA19.E2.F26.DE2F25.F18.2A120.E$18.CB56.E18.FED19.2B119.ED$39.
E2.2A22.E8.ED20.F$21.DE16.DE.2B22.DE29.F2.E16.2A$21.E57.E13.ED4.ED16.
2B121.C$36.E5.2A19.E14.ED14.E$24.DE10.DE4.2B19.DE38.E13.2A$24.E16.B
40.E7.ED10.ED13.2B$33.E7.2CAC14.ACB19.ED8.E$27.DE4.DE6.B.AB.AB.AB.AB.
AB.ABCA44.E10.2A$27.E2.F13.C.AB.AB.AB.AB.AB25.EFED16.ED9.A2B$30.F29.C
23.EDF.E27.2C.C$30.DE52.F24.E7.A.C$29.2F56.F20.ED8.BC$119.C$112.E5.AC
$111.ED5.BC$116.C2.C$116.F.AC$114.EDF.AC$119.C$116.2F!
Code: Select all
x = 119, y = 84, rule = FireWorld+old
7$80.F8$39.F3$93.F$84.F2$63.C2$89.F$88.F10.F4$28.C54.F10.F$29.BA4.A
11.BA44.FD$28.CBA16.BA4.F$28.CA29.C$27.C3.C.CBC$34.A63.F$59.CF$59.DF$
59.E$59.DF4.F$59.CF$43.2F38.C$20.C41.F8.AB10.CB$59.C11.AB10.2A$83.C4$
31.E18.F13.F$31.DE3$33.E$33.DE7$19.9C!
Code: Select all
x = 63, y = 48, rule = FireWorld+old
5$37.4C$5.C34.C$6.CA22.CA8.3C$6.CBA21.CBA.ED4.B.C$7.B5.BA4.BA4.BA4.BA
2.E.C3.AC$6.C2.22C12.12C$9.B.A.BA.BA.BA.BA.BA.B3.D13.BA4.BA$9.2B18.DF
.E$9.2C$27.F3.F$50.C$48.E$49.E3$15.C$14.2BA4.BA4.BA4.BA4.BA4.BA4.BA4.
BA2.C$15.CA4.BA4.BA4.BA4.BA.ED.BA4.BA4.BA$15.C27.E$14.C$39.ED$40.E2$
36.ED$37.E2$33.ED$29.F4.E2$21.C9.D$21.BA.BA.BA.B.F$20.ACA.BA.BA.B$20.
AC$20.CB!
Code: Select all
x = 77, y = 55, rule = FireWorld+old
10$29.FE.EF$33.E$11.2C15.C3.FD2.C$11.2A16.BA$11.AB.BA.BA.BA.BA.BA2.2C
3.BA.BA.BA.BA.BA.BA.BA.BA.BA2.C$11.22C2.BA.BA.BA.BA.BA.BA.BA.BA.BA$
11.AB.BA.BA.BA.BA.BA.BA$11.2A19.FD2.C$11.2C16.E3.E$29.FE.EF7$7.C$8.C$
8.CA4.BA4.BA$7.2BA4.BA4.BA4.EF$8.C16.E.E$25.DED$24.F6.C2$32.BA4.BA4.B
A4.BA4.BA4.BA4.B$29.ED.BA4.BA4.BA4.BA4.BA4.BA4.B.C2$24.F6.C$25.DED$8.
C16.E.E$8.BA.BA.BA.BA.BA.BA.EF$7.ACA.BA.BA.BA.BA.BA$7.AC$7.CB!
Code: Select all
x = 60, y = 63, rule = FireWorld+old
3$31.F3.F$13.2C24.4C$13.2B18.DF.EF.A2.C$13.B.A.BA.BA.BA.BA.BA.B3.DF.E
.BC$13.22C7.A9C$13.B.A.BA.BA.BA.BA.BA.B3.DF6.BA.BA.BA$13.2B18.DF.EF.C
$13.2C$31.F3.F13$13.C32.F$14.C$13.BC4.BA4.BA4.B11.ED$13.2A4.BA4.BA4.B
.F10.E$14.C17.D$40.ED$30.F10.E$37.F$37.FD$38.E$37.FD$34.ED.F$30.F4.E
5.E$40.ED$14.C$16.BA4.BA4.BA3.F10.E$14.C.BA4.BA4.BA13.ED$14.CB$13.CA
31.F!
Code: Select all
x = 83, y = 65, rule = FireWorld+old
11$60.F2$62.F$53.F9.F2$51.F13.F2$54.2F2.F2.F$59.F$53.2FDF3.ED$55.E5.E
2$54.2F.F.F.E$55.DEDFDED3$51.E13.E$50.E.E11.ED$51.E2$47.ED$48.E2$12.C
31.ED$12.BCA30.E$11.ABCBA.BA.BA.BA.BA.BA$12.A.BA.BA.BA.BA.BA.BA.F8.ED
$13.C28.E$29.E3.E$29.FE.ED4.ED$36.F2.E$36.F$35.ED$36.F$36.F.F$29.FE.E
D$29.E3.E$13.C$12.A.BA.BA.BA.BA.BA.BA.F$11.ABCBA.BA.BA.BA.BA.BA$12.BC
A$12.C!