SnakesNLadders: A balance between natural, and artificial mechanics.

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Redstoneboi
Posts: 433
Joined: May 14th, 2018, 3:57 am

SnakesNLadders: A balance between natural, and artificial mechanics.

Post by Redstoneboi » January 21st, 2021, 9:44 am

I'm back with another rule!
This time, stemming from Dui Mauris Football's original idea "TCLines," where ever shrinking c/2 lines make their way through gates to extend and annihilate.
An older version can be found in the Thread for Unrecognized CA, with older gate mechanics.

Code: Select all

@RULE SnakesNLadders

@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1,2,3,4,5}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a

# Repeater
var A={0,1,2}
3 a,4,1,4,e,f,g,h 3
1 4,b,3,d,4,f,A,h 1

# 90 Collisions
var A={1,2,3}
var B=A
var C={0,1,2,3}
var D=C
var E={1,2}
0 E,A,c,D,1,B,g,C 0
0 E,A,c,B,1,D,g,C 0
0 E,A,c,d,1,f,g,C 3

# 180 Collisions
0 a,4,1,1,1,f,g,h 3
0 2,1,c,d,e,f,g,1 2

# Collisions
2 2,b,c,d,e,f,g,h 3
2 a,2,c,d,e,f,g,h 3
2 1,b,1,d,e,f,g,h 3

# Movement
0 3,b,c,d,1,f,g,h 0
0 3,b,1,d,e,f,g,h 0
0 1,A,c,d,e,f,g,C 0
0 1,b,c,d,e,f,g,h 2

# Decay
4 5,3,c,d,e,f,g,h 4
4 5,b,c,d,e,f,g,h 0
0 5,3,c,d,e,f,g,h 0
0 5,b,c,d,e,f,g,h 4
3 2,b,c,d,e,f,g,h 3
2 3,b,c,d,e,f,g,h 5
1 3,b,c,d,e,f,g,h 3

# Basic
2 a,b,c,d,e,f,g,h 1
3 a,b,c,d,e,f,g,h 0
5 a,b,c,d,e,f,g,h 0

@COLORS
0 0 0 0
1 0 200 0
2 100 255 100
3 180 110 0
4 30 20 255
5 255 240 230
Alright, now for the demo.
This is a signal, splitting into two: The bottom gets reflected, and finally shrinks into a block. The top, however, passes through a gate and survives, until it collides with itself, killing the whole snake.

Code: Select all

x = 37, y = 24, rule = SnakesNLadders
29.D5.D$28.D7.D3$36.D$35.D2$28.D.D9$C25A4.D6$28.D$29.D!
The gate is a bit of a strange one. You may have heard of NoTimeAtAll?

Code: Select all

x = 9, y = 25, rule = SnakesNLadders
.D5.D$D7.D3$8.D$7.D2$D.D3$.A$.A$.A$.A$.A$.A$.C6$DAD$DAD$.D!
Here are a couple of basic constructions:
Easy way to terminate a snake:

Code: Select all

x = 20, y = 4, rule = SnakesNLadders
10.D7.D$C7A11.D$10.D8.D$18.D!
Signal repeater:

Code: Select all

x = 32, y = 12, rule = SnakesNLadders
9.D12.D$C7A5.D4.D5.7AC$9.D12.D4$9.D3.D$10.D.D3$18.D3.D$19.D.D!
Ladder mechanics demo:

Code: Select all

x = 46, y = 32, rule = SnakesNLadders
9.D$8.D.D$8.D.D$13.D15.D$29.AC$13.D15.D3$.D42.D$D43.AC$.D42.D3$8.D.D$
8.D.D18.D$29.AC$29.D3$9.A$9.A$9.A$9.A$9.A$9.A$9.A$9.A$9.A$9.A$9.A$9.A
$9.C!
Conduit:

Code: Select all

x = 50, y = 4, rule = SnakesNLadders
25.D.D.3D.D.3D.D.3D.D.2D$C13A5.C4A4.D5.D5.D5.D$25.D5.D5.D5.D5.D$26.3D
.D.3D.D.3D.D.3D.D!
"Ouroboros" (constantly emits a signal, very useful for construction, revives itself, toggles a cell at the bottom every time it is used)

Code: Select all

x = 90, y = 13, rule = SnakesNLadders
86.D.D$85.D3.D$C44A2.C22A$85.D.D$85.D$88.D2$86.A$86.A$86.A$86.A$86.A$
86.C!
Onto the slightly more complex builds:
Toggle queue (3 choices for barrels):

Code: Select all

x = 90, y = 9, rule = SnakesNLadders
61.D.D.3D.D.3D.D.3D.D.3D$C31A4.C13A5.C4A4.D5.D5.D5.D6.D$61.D5.D5.D5.D
5.D$62.3D.D.3D.D.3D.D.3D.D4$85.D$88.D!
Loop:

Code: Select all

x = 31, y = 16, rule = SnakesNLadders
29.D$28.DAD$28.DA$29.A$29.A$29.A$29.A$29.A$27.D.A$.D2.D.2D2.D.2D2.D.
2D2.D.3D3AD$D2.D5.D5.D4ACD5.A.A$D5.D5.D5.D5.D.DADA$3.3D.D.3D.D.3D.D.
3D2.DC.AD$2.D5.D5.D5.D5.D2.D$D4.DC4AD5.D5.D2.D$.2D.D2.2D.D2.2D.D2.2D.
D2.D!
Constructor proof of concept:

Code: Select all

x = 348, y = 10, rule = SnakesNLadders
2C3.C2.2C2.C.C2.C7.D.D$C.C3.C.C.C.C.C2.C6.D3.320D$C.C.2C2.2C3.C2.3C
12.D5.D5.DB2AC.D5.D5.D3AC.D.BAC.D3.B.D5.D.2AC.D5.D5.D3AC.D5.D5.D3AC.D
5.D3.A.D5.D5.D3AC.D5.D2.AC.D5.D5.D5.D5.D5.D5.D5.D2.BACD5.DB2AC.D5.D4C
.D5.D5.D5.D5.D.BAC.D5.D5.DACAC.D5.DB2AC.D5.D2.AC.D5.D2.BACD5.D2.AC.D
5.D3AC$26.D.D5.DB2AC.D5.D5.D3AC.D3.A.D5.D4C.D3AC.D5.D5.D5.D5.D5.D5.D
2.BACD5.D5.D3AC.D5.D3.A.D5.D5.DACAC.D5.DB2AC.D5.D.2AC.D5.D3AC.D5.D3AC
.D5.D5.D.BAC.D5.D5.D3AC.D5.D5.D4C.D5.D2.AC.D5.D5.D5.D5.DACAC.D5.D3AC.
D5.DACAC.D5.D$19.2D7.320D$20.2D3.D.A$27.A$27.A$27.A$27.C!
Have fun :P
Last edited by Redstoneboi on March 1st, 2021, 9:31 am, edited 1 time in total.
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

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toroidalet
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Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by toroidalet » January 22nd, 2021, 9:49 pm

Nice work!
However, the constructor requires a snake to be inserted in to function, which makes it a little hard to move around.
Here's my horribly complicated attempt to make one that doesn't require the extra snake (repeat time 29):

Code: Select all

x = 25, y = 11, rule = SnakesNLadders
17.D2.D$16.D$20.D$16.D7.D$.D4.2D4.2D4.2D$C2A.D5.DCAB2.D4.D.D$.D5.D.C
3AD5.D$2.5D.5D.5D$.D5.D5.D$4.D5.D5.D$.2D4.2D4.2D5.D!
Any sufficiently advanced software is indistinguishable from malice.

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Redstoneboi
Posts: 433
Joined: May 14th, 2018, 3:57 am

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by Redstoneboi » January 23rd, 2021, 1:47 am

Here's my also horribly complicated attempt to initialize the ouroboros, reducing the repeat time to 20 (The minimum for ouroboros!)

Code: Select all

x = 46, y = 25, rule = SnakesNLadders
40.D12$43.D$39.D4.D$37.2D2.D$30.4D2.D7.D$29.D4.D5.2D.D$29.D9.D.D2.D$
3.28D.9D.D.2D$.2D.C3AD5.D5.DCAB2.D5.D5.D2.2D2.D$D4.DCAB2.D.C2ABD.C3AD
5.D5.D5.2D2.D$2.38D2.2D.D$D5.D5.D5.D3AC.DB2AC.D2.BACD8.D$D2.D5.D5.D2.
BACD5.D5.D3AC.2D.D2.D$.38D4.2D!
The components were based off of these:

Code: Select all

x = 40, y = 28, rule = SnakesNLadders
35.D12$38.D$34.D4.D$32.2D2.D$18.4D9.D7.D$17.D4.D12.2D.D$17.D16.D$18.D
.3D10.D$38.D$36.D2.D$3.16D2.2D14.D$.2D5.DCAB2.D5.D2.D$D4.D.C3AD5.D5.D
$2.20D2.14D.D$D5.D5.D5.D8.D5.D5.D$D2.D5.D5.D5.2D.D5.D5.D2.D$.20D4.14D
!
Last edited by Redstoneboi on January 24th, 2021, 10:36 pm, edited 1 time in total.
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

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Layz Boi
Posts: 273
Joined: October 25th, 2018, 3:57 pm

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by Layz Boi » January 23rd, 2021, 2:23 am

This rule gives me MineCraft vibes. :)

Code: Select all

x = 19, y = 43, rule = SnakesNLadders
11.D5.D$9AC8.D$10.D.D$10.D.B$11.DA$12.A$12.A$12.C11$5.D5.DA$4.D4.4AD$
10.DAD$9.B2AD$11.D8$10.B$10.A$10.A$10.A$10.A$10.A$10.A$10.A4.D$10.A2.
B2AD$10.A4DA$9.D6AD$10.2D3.AD$15.D!

User avatar
Redstoneboi
Posts: 433
Joined: May 14th, 2018, 3:57 am

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by Redstoneboi » January 23rd, 2021, 2:32 am

Layz Boi wrote:
January 23rd, 2021, 2:23 am
This rule gives me MineCraft vibes. :)

Code: Select all

x = 19, y = 43, rule = SnakesNLadders
11.D5.D$9AC8.D$10.D.D$10.D.B$11.DA$12.A$12.A$12.C11$5.D5.DA$4.D4.4AD$
10.DAD$9.B2AD$11.D8$10.B$10.A$10.A$10.A$10.A$10.A$10.A$10.A4.D$10.A2.
B2AD$10.A4DA$9.D6AD$10.2D3.AD$15.D!
I have to admit that's a pretty genius way of making the old repeaters! Though, this wouldn't work as well in the newer versions, since gates function as diodes.
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

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ColorfulGalaxy
Posts: 407
Joined: July 16th, 2020, 3:37 am
Location: Hacked by Trump {Bot}

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by ColorfulGalaxy » February 8th, 2021, 8:19 am

Why not do some soup searches?
This soup grows to infinity.
Has anyone found a breeder?

Code: Select all

x = 64, y = 64, rule = SnakesNLadders
.B2.C2.C4.A2.A.C4.A.D2.ECB.DC2.CA.C2A.2EB2.2B.CA4.B.EDC2.D$2.D.EB4.A.
BC.C3.D2.A2.A2.A.CB2.B.D.A3.EB.C.2AD.D2.A5.D$.A2.E.E3.CB.D.DA.B2.C.B2A
.ED7.C3.B.D.2ABEAC.D.A.B2.AB.B.B$CE.E.CEDE2.D2CEB2.E.2E.E.CBAC2.A.CAC
4.EB.E.CBACBC2.CB.B.C.EC.C$CBAE2.ACD.EC.EDC.EA3.CD3.DAE.D3.B2.B5.BAB.
BD.B2.B2.C.AD2.C$BD.2A2D.D2.C.D2E.DEA3C.ABD2.2DC4.AED2BE.E.A3.ED5.D.2B
$AB.CE3.BC4.DA.BCA3.A3.B.ACDA.B.2CDEB3.D3.BD.2D4.EDCABAD$.B.C2.E.C6.D
.DC3.EB.B.E3.D3.AE2.BE2D2.C2.EAB2.D2.CEAD2.A$.DE5.C2ACEC2.CE4.D.2A2.E
CE.E.E.D4.B.CA2.ECB2D.BE.EACDED.D$A5.2DB.2BE4.E.ED2.D.C.C.C.B.E.B.AE.
B3.D2.B2.BDEADA.ABA3.A$C2.BAC3.AC.B2.EDE.A2.B.D.BDC2.EAB.A.BAC13.EDE2.
DEAE2B$2.DAE.D.C2E3.E2.DA2.BE.E3.EDA.D2.EA2.CA3.B9.EC.DE3.C$A.AB.B2.A
E2DC.B3.D2ACEA4.A.E.E.EAB2.DECAEA2B6.A2.EC.E.2A$A.B3.E.B.B4.C2.E.D.EC
E.DE.AC2.D3.C.B.EBE.ED.2CB.B.CD.B2E$.D2B.C2.B.AE.2D2.2D2.B5.A3.DBDAE.
C.D2.B3.2EBA3.DCDB2.EA.D$5.DC5.D.BA.C3.A.CAC.DC.E3.B2.E.EADBA.C.CA.C.
2BDC2E.C.E$.C.C2.B.B.DE3.CE2.D.C.DEBAC2.A2B2.BC.EC2.2CD5.BA.D4.DCA.DA
$2.D2.E2.E2.A.E5.AD2.E2.B2E3.BD.A.D2.BDE2.BC.2D2A.E.3CAD.BCD$.E2.EB2.
E3.CD3.DC2.A3.A6.C.EA.D7.B3.2BCEC4.B.3B$DCA2.E2.A2B2.A4.DE3.CB.B7.E.B
4.C5.A.DA4.A2.A2.BCA$DA.CB2.C2.2AD.CB.DEAC.C.2D.ADCD3.D.C2DB.B.DB.B3.
B3.DA.EDACDBE$B2.BD.E2.C4.CA2D4.D2.2B5.E.DAEB.DEA.A.E5C.E.BE2B2.A2.A$
ED.A6.C.B.ABADE.2BCD.D.AE5.EB.EC2.B5.AD2.B.2EAB2.ED2.E$2BD.2DCE5.CE2.
A5.2DAC2.D.CAC.C2.EDCE5.E2.CAD.C.2BA2.ECB$2.E4.D3.B2.CB2.EC.BCD2.DE.A
E.E4.E4.C.DAD3.E.C2.A.2EAED$CDADB.EB.D4.ABD.A2B2.EC4.B.CE.2C3D.C2E2.A
2.CD.D7.E3.A$2B.ADBD3.E.E.B2.CBDCD.C4.B.2BA.C2.C.AE.B.2B.DE.CA6.CE2.C
$.E.A3.DA.BE3.AE.D.E.E3.BECB2.D.C2.EA2.CEB.B3.B.C3.AD2CEACE$2E.2ECEC.
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.A2.E3.B3.E.E2.CA.AEC.D.E.A4.CAE$ED.E3.C10.DBEB.E2.D2CA2.E.A2.EA2.B4.
DAE2.EAE3D.AD.BD$4.DE3B2ABCB.D2.BECE4.B2.DE3.DE.A.A.AE3.D.ECD.BDB2.2A
C$.EBA4.AB.B3.2AD5.CDE2.AC4.2C2.CBEC3.CE2.C2A.B.BA.B4.C$.C2.C.B2.EA2.
2AE.CE.A3.D.EC.DC2.D2.C6.C2.E2DACD2B3.A2.E.D$EB.2EAD.D2.C.CE.D3.C2.A.
E.E.B2CEBDE2.B.AB.AD2.ED2.D2.D.DE3.C.B$EA.C.2EC.D2.EBA2.B2.DABA.A.E.C
AEAD.AE6.B.ED2.EB5.A.A2.C$.DAC.AC5.EC.C.BC2.ED5.E4.D4.CD10.D.E4.CB.2B
$ACD4.2DC.ACE2.B3.CE.B.B3.AD2.E5.D2.BE2.2A3.2A2E2.A3.C$.B.B4.A2.B3.2C
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.A.B.B4.BA3.EB2.EAC.B2.D$.A2.CA.DB5.2DEA3.EA.B3.CB.2B.AB3.D2CD.B6.E.B
A.E.B.C.CB$D.D2.BDC2.AE4.E.C3.E.A2DE.C2.BC.BEB.C9.D3.A.AB4.BA$ED2.C.2E
.ABC.DA2.2C.2C3.D.E2.C3.A.EAB.C.D.2DBD.BCB.ED2.E2.E.DA$.E2.2A2.B3.ACA
BA3.D2.E.A3.D.ACDA.BE3.A.CD.B3.C3.C.BEBD4C$E5.A.AEA2.D.CADB.EB2AC3.C.
E2.A.B2.B.DAB2.2A.D2.D.D.D3.AB.ED$2.4EB2.2C.A.AB4.BEC.A.2CDADB2.BE.D.
E3.CA.D.DE.D.D2.DE$BCED.A.AE.E.E6.CD.BE2BD.B4.A3.2CA.2AC2.A2.C.C.C.E2.
2B.2CD$4.D2.D2.2D.A.D2.A.DB2.C2D2A.B.B.B3.DAD.AE.2A.CA3.E.C3.B$E2.2D5.
B2.2D2.A.EC2.B.A.CBC2.C2EB4.BC.2B.EA.EBDB2C3.BED.AD$B2D2.2B7.AEB3.B2.
BE5.B.ADB2.ABD.E.D.B2.A.D4.DA.B3.B$B.B2.D2.D.A.B.CD2.B2.AE.A5.DBA.AB.
DBC2.E.B.C.D.B2.E3.C4.D$.AE3.C3.ACD.EA2CBD2.ADC7.D2.AC2.BE.BD.E.D.3CD
B.2D2.A.BD$AC2.E3.BE.AC2.CB.2E.D2.A2CEB.2E.BA5.C.D.B.AE.E2C2B.BDB.D2.
2C$.ACD.CB2.D2.CB4.E.D2.C.A.DAD.DA.A2.B2.2C.AB.A.C7.AE2.ED2C$.A2.EDB2.
DB.2E.CA.A3.CDEAE2.EB2.2AB.D3.2E2.CAB2.B.BDC.EAD4.C$C.EAD3.BC3.BD2.A.
E.ABCE.B.2D.A3.B2.4A.D2.A.D3.C.DE.D4.ED$A.AEB.BE2.2D3.2AE.E.B2.C.DE.D
.D.D2.DB3.D3.BC2DA2D.D2.D6.C$BDBC.2EBA2E.2E3D2.D2B.B6.B2D8.C5.D.BE2BE
2.CBA2.D.A$2.D2.D.2D.B4.CAC2.E.A2.2BDA2B.D.2CDED2.D5.D.CD3.E.2EC3.BD$
2.CDAD3.A.B3.AD.DA.E2D.A4.ABC2.2D.D3.A6.CA2.B.D3.D2.ED$.CE2B.C.B3.ED.
E4.BD2.E4.CAE2.D2.BCB.DE2D4.C5.B.D2.2C2A$BA2.B.CD.C.D.DCB3.B.EB.A2.E8.
D2.AB2.B2.EB3.E.A2.D4.D.D$.D4.BC2.B.C.B3.AB3.B.2E.BA4.2E.CD2.C4.B2.D.
C2E.D.2E2BEA$BC5.E2.BEA4.2BCA2C5.E.DBDB3.B.CD.A2.A.DADE.B3.C2A2.A.C!

HelicopterCat3
Posts: 258
Joined: October 16th, 2020, 10:27 am

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by HelicopterCat3 » February 8th, 2021, 10:02 am

ColorfulGalaxy wrote:
February 8th, 2021, 8:19 am
Why not do some soup searches?
This soup grows to infinity.
Has anyone found a breeder?

Code: Select all

x = 64, y = 64, rule = SnakesNLadders
.B2.C2.C4.A2.A.C4.A.D2.ECB.DC2.CA.C2A.2EB2.2B.CA4.B.EDC2.D$2.D.EB4.A.
BC.C3.D2.A2.A2.A.CB2.B.D.A3.EB.C.2AD.D2.A5.D$.A2.E.E3.CB.D.DA.B2.C.B2A
.ED7.C3.B.D.2ABEAC.D.A.B2.AB.B.B$CE.E.CEDE2.D2CEB2.E.2E.E.CBAC2.A.CAC
4.EB.E.CBACBC2.CB.B.C.EC.C$CBAE2.ACD.EC.EDC.EA3.CD3.DAE.D3.B2.B5.BAB.
BD.B2.B2.C.AD2.C$BD.2A2D.D2.C.D2E.DEA3C.ABD2.2DC4.AED2BE.E.A3.ED5.D.2B
$AB.CE3.BC4.DA.BCA3.A3.B.ACDA.B.2CDEB3.D3.BD.2D4.EDCABAD$.B.C2.E.C6.D
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This rule is a circuitry rule, meaning that this rule is built to be found Turing-Complete in the most basic way. This rule's only moving objects to are expected to be linear growth because of the rule's dynamics. This also means that breeders are not necessary. Although I suppose it would be fun to find, I highly doubt a breeder exists.

Schiaparelliorbust
Posts: 3686
Joined: July 22nd, 2020, 9:50 am
Location: Acidalia Planitia

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by Schiaparelliorbust » February 8th, 2021, 10:15 am

HelicopterCat3 wrote:
February 8th, 2021, 10:02 am
This rule is a circuitry rule, meaning that this rule is built to be found Turing-Complete in the most basic way. This rule's only moving objects to are expected to be linear growth because of the rule's dynamics. This also means that breeders are not necessary. Although I suppose it would be fun to find, I highly doubt a breeder exists.
I bet that a constructor based breeder does exist though. Either something that constructs linear growth patterns or quadratically replicates like the loops in Golly's pattern files.
Hunting's language (though he doesn't want me to call it that)
Board And Card Games
Colorised CA
Alien Biosphere

HelicopterCat3
Posts: 258
Joined: October 16th, 2020, 10:27 am

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by HelicopterCat3 » February 8th, 2021, 12:00 pm

Schiaparelliorbust wrote:
February 8th, 2021, 10:15 am
I bet that a constructor based breeder does exist though. Either something that constructs linear growth patterns or quadratically replicates like the loops in Golly's pattern files.
If one can first find the constructer. Is there a constructer for this rule? If there is, then a breeder is plausible. However, you probably couldn't find it through soup searching.

Schiaparelliorbust
Posts: 3686
Joined: July 22nd, 2020, 9:50 am
Location: Acidalia Planitia

Re: SnakesNLadders: A balance between natural, and artificial mechanics.

Post by Schiaparelliorbust » February 8th, 2021, 12:03 pm

HelicopterCat3 wrote:
February 8th, 2021, 12:00 pm
If one can first find the constructer. Is there a constructer for this rule? If there is, then a breeder is plausible. However, you probably couldn't find it through soup searching.
Definitely not through soup searching. Didn't you see the constructor proof of concept above?
Hunting's language (though he doesn't want me to call it that)
Board And Card Games
Colorised CA
Alien Biosphere

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