Rule:FireWorld7+

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@RULE FireWorld7+

  1. Copyright by Yoel Matveyev, 2022
  2. The GNU General Public License v3.0
  1. This rule is a combination of two rules: FireWorld7 and a variety of Diaphotons.
  2. The idea to combine these rules was partially inspired by Brian Prentice's rule Mites.
  1. FireWorld is the next generation of Fireworld (03ajkr/2ak/3), proven to be
  2. capable in itself of universal computation and suitable for constructing complex logic circuits.
  1. This variety is based on a slightly different substrate rule, 03ajkr7/2ak/3,
  2. where 2x2 blocks turn into period 3 guns.
  1. It is a hybrid rule combining 03ajkr7/2ak/3 and a Wireworld-like
  2. wiring system. It's fully backward compatible with 03ajkr7/2ak/3
  3. and almost always backward compatible with the original old Fireworld.
  1. Wires are implemented as the fourth, immutable state. The new rules are as follows:
  1. 1. A cell is born, if surrounded by 1 living (state 1) cell and 2 or 3 wire cells (state 3).
  2. 2. A cell is born, if surrounded by 1 orthogonal and 1 diagonal neighboring living cell and 2 or 3 wire cells.
  1. The last rule mirrors the "2ak" behavior of Fireworld and helps to ignite electrons on wires by free photons.
  1. Diaphotons is a simple rule that allows spaceships to travel diagonally at the maximum "speed of light".
  1. The resulting combination rule allows to convert diaphotons to photons and electrons and vice versa.
  2. Diaphotons have their own 2 states. Another extra state converts photons to diaphtons.
  3. It also enables a diagonal diode and the OR gate. Interaction between diophotons enables the AND gate.
  1. As long as these extra states are not used, the rule is 100% backward compatible with FireWorld.

@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

  1. The substrate variety of the old Fireworld from 2001: 03ajkr7/2ak/3

0,1,1,k,l,m,n,o,p,1 0,1,j,k,1,m,n,o,p,1 1,i,j,k,l,m,n,o,p,1 1,1,1,1,l,m,n,o,p,1 1,1,j,1,1,m,n,o,p,1 1,1,1,k,l,1,n,o,p,1 1,1,j,1,l,m,1,o,p,1 1,1,1,1,1,1,1,1,p,1 1,1,1,1,1,1,1,o,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

  1. 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

  1. 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

  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

  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

  1. Two orthogonally ajacent green cells become red, enabling 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

  1. Two greens 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

  1. Enabling a diagonal diode

0,6,6,3,l,m,n,o,4,4 0,3,4,k,l,m,n,o,p,4

  1. 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

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