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SnakesNLadders: A balance between natural, and artificial mechanics.

Posted: January 21st, 2021, 9:44 am
by Redstoneboi
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?

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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:

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

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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:

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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:

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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)

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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):

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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:

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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:

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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

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

Posted: January 22nd, 2021, 9:49 pm
by toroidalet
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!

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

Posted: January 23rd, 2021, 1:47 am
by Redstoneboi
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
!

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

Posted: January 23rd, 2021, 2:23 am
by Layz Boi
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!

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

Posted: January 23rd, 2021, 2:32 am
by Redstoneboi
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.

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

Posted: February 8th, 2021, 8:19 am
by ColorfulGalaxy
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$2E.2ECEC.
D4.D2EDE.BEBDCEB.E.C.C2.A.EA.A2.E3.B.BE.D5.EC.C$.B2.B.C.2E5.A.B6.D2.A
.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
2.BE5.A3.E2.A.EC3E4.DA.D.C.BC.BCB2.B.D.C$DB2.2CEAEDA.ACB2.D.E6.D.DABE
.A.B.B4.BA3.EB2.EAC.B2.D$.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!

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

Posted: February 8th, 2021, 10:02 am
by HelicopterCat3
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
.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.
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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.

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

Posted: February 8th, 2021, 10:15 am
by Schiaparelliorbust
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.

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

Posted: February 8th, 2021, 12:00 pm
by HelicopterCat3
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.

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

Posted: February 8th, 2021, 12:03 pm
by Schiaparelliorbust
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?