[R]Investigator (reactions, patterns, discussion)

confocaloid · Post by **confocaloid** » December 21st, 2024, 11:18 pm

This is a forum thread for discussing stuff found in "Investigator" versions of two-state cellular automata, including both StateInvestigator and <OCA>Investigator.

viewtopic.php?f=11&t=4009 "Extended Life Extensions" is related-but-different, both because that thread is focused on StateInvestigator, and because that thread also contains some discussion of other ways to "extend" Conway's Life.
viewtopic.php?f=7&t=6142 "[Rule]Investigator support in Golly" is about the built-in support in Golly 4.3 for the family.
viewtopic.php?f=9&t=6000 "[R]Investigator rule generator" gives scripts to generate .rule files, e.g. for older versions of Golly without built-in support.

The explanation of the cellstates, copied from the comments section in Rule:StateInvestigator:

Official explanation of the states of StateInvestigator v3.0 wrote:

Code: Select all

x = 186, y = 362, rule = StateInvestigator
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.E.E2.E2.3E.3E.E.E!

Citation needed wrote: December 21st, 2024, 9:05 pm Is there a thread for "OCA investigator" rules?

confocaloid · Post by **confocaloid** » December 22nd, 2024, 12:01 am

Crossposting this from "CA screensaver ideas".
The base two-state CA was also discussed in other places: search.php?keywords=B23678+S3478

confocaloid wrote: April 20th, 2024, 10:37 am One seed, 19 environments, 19 histories

Code: Select all

x = 79, y = 99, rule = B23678/S3478Investigator
35.14E$35.E12BE$35.EB10.BE$35.EB10.BE$35.EB10.BE$30.6EB10.BE.14E$30.E
6B10.BE.E12CE$30.EB10.6BE.EC10.CE$30.EB7.2A.B6E.EC10.CE$30.EB6.2A2.BE
6.EC10.CE$30.EB7.A2.BE.6EC10.CE.14E$30.EB10.BE.E6C10.CE.E12DE$30.E6B
5.BE.EC10.6CE.ED10.DE$30.6EB5.BE.EC7.2A.C6E.ED10.DE$35.EB5.BE.EC6.2A
2.CE6.ED10.DE$20.14E.EB5.BE.EC7.A2.CE.6ED10.DE$20.14E.EB5.BE.EC10.CE.
E6D10.DE$20.2E10.2E.E7BE.E6C5.CE.ED10.6DE$20.2E10.2E.9E.6EC5.CE.ED7.
2A.D6E$20.2E10.2E16.EC5.CE.ED6.2A2.DE$15.7E10.2E.14E.EC5.CE.ED7.A2.DE
$15.7E10.2E.E12FE.EC5.CE.ED10.DE$15.2E10.7E.EF10.FE.E7CE.E6D5.DE$15.
2E7.2A.7E.EF10.FE.9E.6ED5.DE$15.2E6.2A2.2E6.EF10.FE16.ED5.DE$15.2E7.A
2.2E.6EF10.FE.14E.ED5.DE$15.2E10.2E.E6F10.FE.E12GE.ED5.DE$15.7E5.2E.E
F10.6FE.EG10.GE.E7DE$15.7E5.2E.EF7.2A.F6E.EG10.GE.9E$20.2E5.2E.EF6.2A
2.FE6.EG10.GE$5.14E.2E5.2E.EF7.A2.FE.6EG10.GE.14E$5.E12IE.2E5.2E.EF
10.FE.E6G10.GE.E12HE$5.EI10.IE.9E.E6F5.FE.EG10.6GE.EH10.HE$5.EI10.IE.
9E.6EF5.FE.EG7.2A.G6E.EH10.HE$5.EI10.IE16.EF5.FE.EG6.2A2.GE6.EH10.HE$
6EI10.IE.14E.EF5.FE.EG7.A2.GE.6EH10.HE$E6I10.IE.E12JE.EF5.FE.EG10.GE.
E6H10.HE$EI10.6IE.EJ10.JE.E7FE.E6G5.GE.EH10.6HE$EI7.2A.I6E.EJ10.JE.9E
.6EG5.GE.EH7.2A.H6E$EI6.2A2.IE6.EJ10.JE16.EG5.GE.EH6.2A2.HE$EI7.A2.IE
.6EJ10.JE.14E.EG5.GE.EH7.A2.HE$EI10.IE.E6J10.JE.E12KE.EG5.GE.EH10.HE$
E6I5.IE.EJ10.6JE.EK10.KE.E7GE.E6H5.HE$6EI5.IE.EJ7.2A.J6E.EK10.KE.9E.
6EH5.HE$5.EI5.IE.EJ6.2A2.JE6.EK10.KE16.EH5.HE$5.EI5.IE.EJ7.A2.JE.6EK
10.KE.14E.EH5.HE$5.EI5.IE.EJ10.JE.E6K10.KE.E12LE.EH5.HE$5.E7IE.E6J5.J
E.EK10.6KE.EL10.LE.E7HE$5.9E.6EJ5.JE.EK7.2A.K6E.EL10.LE.9E$20.EJ5.JE.
EK6.2A2.KE6.EL10.LE$5.14E.EJ5.JE.EK7.A2.KE.6EL10.LE.14E$5.E12NE.EJ5.J
E.EK10.KE.E6L10.LE.E12ME$5.EN10.NE.E7JE.E6K5.KE.EL10.6LE.EM10.ME$5.EN
10.NE.9E.6EK5.KE.EL7.2A.L6E.EM10.ME$5.EN10.NE16.EK5.KE.EL6.2A2.LE6.EM
10.ME$6EN10.NE.14E.EK5.KE.EL7.A2.LE.6EM10.ME$E6N10.NE.E12OE.EK5.KE.EL
10.LE.E6M10.ME$EN10.6NE.EO10.OE.E7KE.E6L5.LE.EM10.6ME$EN7.2A.N6E.EO
10.OE.9E.6EL5.LE.EM7.2A.M6E$EN6.2A2.NE6.EO10.OE16.EL5.LE.EM6.2A2.ME$E
N7.A2.NE.6EO10.OE.14E.EL5.LE.EM7.A2.ME$EN10.NE.E6O10.OE.E12PE.EL5.LE.
EM10.ME$E6N5.NE.EO10.6OE.EP10.PE.E7LE.E6M5.ME$6EN5.NE.EO7.2A.O6E.EP
10.PE.9E.6EM5.ME$5.EN5.NE.EO6.2A2.OE6.EP10.PE16.EM5.ME$5.EN5.NE.EO7.A
2.OE.6EP10.PE.14E.EM5.ME$5.EN5.NE.EO10.OE.E6P10.PE.E12QE.EM5.ME$5.E7N
E.E6O5.OE.EP10.6PE.EQ10.QE.E7ME$5.9E.6EO5.OE.EP7.2A.P6E.EQ10.QE.9E$
20.EO5.OE.EP6.2A2.PE6.EQ10.QE$5.14E.EO5.OE.EP7.A2.PE.6EQ10.QE$5.E12RE
.EO5.OE.EP10.PE.E6Q10.QE$5.ER10.RE.E7OE.E6P5.PE.EQ10.6QE$5.ER10.RE.9E
.6EP5.PE.EQ7.2A.Q6E$5.ER10.RE16.EP5.PE.EQ6.2A2.QE$6ER10.RE.14E.EP5.PE
.EQ7.A2.QE$E6R10.RE.E12SE.EP5.PE.EQ10.QE$ER10.6RE.ES10.SE.E7PE.E6Q5.Q
E$ER7.2A.R6E.ES10.SE.9E.6EQ5.QE$ER6.2A2.RE6.ES10.SE16.EQ5.QE$ER7.A2.R
E.6ES10.SE.14E.EQ5.QE$ER10.RE.E6S10.SE.E12TE.EQ5.QE$E6R5.RE.ES10.6SE.
ET10.TE.E7QE$6ER5.RE.ES7.2A.S6E.ET10.TE.9E$5.ER5.RE.ES6.2A2.SE6.ET10.
TE$5.ER5.RE.ES7.A2.SE.6ET10.TE$5.ER5.RE.ES10.SE.E6T10.TE$5.E7RE.E6S5.
SE.ET10.6TE$5.9E.6ES5.SE.ET7.2A.T6E$20.ES5.SE.ET6.2A2.TE$20.ES5.SE.ET
7.A2.TE$20.ES5.SE.ET10.TE$20.E7SE.E6T5.TE$20.9E.6ET5.TE$35.ET5.TE$35.
ET5.TE$35.ET5.TE$35.E7TE$35.9E!

Post by **dvgrn** » December 22nd, 2024, 11:23 am

confocaloid wrote: December 21st, 2024, 11:18 pm This is a forum thread for discussing stuff found in "Investigator" versions of two-state cellular automata, including both StateInvestigator and <OCA>Investigator.

Thanks for starting this. Let's see, I can't move CARuler's recent "Asteroids-Investigator" post to here from the Asteroids thread, because it's older than this thread and would show up ahead of the current first post.

I've moved it to the "CA Ruler's CA" thread. Here's a partial quote, of just the patterns with understandable labels. The first gun is period 18. The second gun shoots the same orthogonal spaceship as the p18 gun, but simultaneously in four directions at period 30.

CARuler wrote: December 17th, 2024, 7:04 pm Gun
Code: Select all
x = 4, y = 5, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6kInvestigator
.J.J2$3J2$.J.J!
edit:
Gun
Code: Select all
x = 3, y = 3, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6kInvestigator
3L$L.L$3L!

Citation needed · Post by **Citation needed** » December 27th, 2024, 8:33 am

The glider in rule "B4J3S23" can be reflected by a gray dot.
The reflector is colour-changing (citation needed).

Code: Select all

x = 8, y = 8, rule = B4J3S23Investigator 
.A$2.A$3A5$7.E!

b-engine · Post by **b-engine** » December 27th, 2024, 11:08 am

Citation needed wrote: December 27th, 2024, 8:33 am The glider in rule "B4J3S23" can be reflected by a gray dot.
The reflector is colour-changing (citation needed).
Code: Select all
x = 8, y = 8, rule = B4J3S23Investigator 
.A$2.A$3A5$7.E!

The rule is equivalent to B34j/S23.

The reflector is known:

b-engine wrote: January 18th, 2024, 7:56 pm EDIT:
Glider loop using 1-cell reflector in B34j/S23:
Code: Select all
x = 34, y = 10, rule = B34j/S23Investigator
30.E2$19.E$24.E$10.E3.E$6.E$E2.E29.E$.A6.A8.A3.E6.A$.A.A4.A.AE5.A.A8.
A.A$E2AE3.E2A6.E2A8.E2A!

confocaloid · Post by **confocaloid** » December 28th, 2024, 5:55 pm

Here is a way to support the 5c/26d wire pulse by dot sparks that should work for all even periods 22 and higher. It uses p2 cells. The dot sparks are produced by glider-to-spark converters.

I think it's interesting, because here the pulse only directly interacts with the produced (state-1) dot sparks, but doesn't directly interact with "special cells". Is there a solution (with the same property) that works for all sufficiently high periods (even or odd)?

Additionally, here the pulse moves within a "diagonal band" of width 22hd containing only state-0 and state-1 cells (no "special cells" within the band). Can this band be made wider?

Code: Select all

x = 77, y = 72, rule = StateInvestigator
75.A$74.A$63.A10.3A$52.A10.A.A$51.A11.2A$40.A10.3A$29.A10.A.A$28.A11.
2A$28.3A7$26.S$17.A2$15.2A3.2A.2A$15.2A3.2A.2A$31.S$15.2A$15.2A$7.2A
11.2A3.2A.2A$8.2A2.T7.2A3.2A.2A$7.A28.S$20.2A$20.2A$25.2A3.2A.2A$17.T
7.2A3.2A.2A$41.S$25.2A$25.2A$30.2A3.2A.2A$6.A15.T7.2A3.2A.2A$6.2A38.S
$5.A.A22.2A$30.2A$35.2A3.2A.2A$27.T7.2A3.2A.2A$2A$.2A32.2A$A34.2A2$
32.T2$4.2A$5.2A$4.A9$3.A$3.2A$2.A.A10$.2A$2.2A$.A!

confocaloid wrote: July 26th, 2024, 11:40 pm [...] The blockers almost fit. In one phase, one has to prevent birth of an extra cell between two blockers:
Code: Select all
x = 10, y = 18, rule = StateInvestigator
6.2A$6.2A2$6.A$5.A.A$.2A.EA2.A$A2.A2.A2.A$A$A5.A2.A$A.2A2.2A$2.2A3$.2A
4.2A$.2A4.2A2$7.2A$7.2A!
Although there is a simpler stable solution in StateInvestigator, the p8 version with blockers is interesting because the local environment of the wire pulse reaction is "plain Life", with state-5 cells located 8hd away from the diagonals where the dot sparks are produced.
Code: Select all
x = 75, y = 75, rule = StateInvestigator
52.2A$52.2A3$46.2A$46.2A$50.2A$50.2A15.A$67.A5.2A$67.3A3.2A$69.A$45.
2A$45.2A3$41.2A11.2A$40.A2.A10.2A$40.A$40.A$40.A.2A11.2A$36.2A.E2.2A
10.A2.A$34.A2.A16.A2.A$55.2A$34.A2.A3.2A4.2A$35.A2.A2.2A4.2A$31.2A.E.
A.A$31.2A4.A9.2A3.2A.2A$47.2A3.2A.2A$36.2A4.2A$30.2A4.2A4.2A11.E$26.
2A.E2A.A$26.2A5.A8.2A3.2A.2A$33.A8.2A3.2A.2A$26.A3.A2.A3.2A$25.A.A3.
2A4.2A11.E$21.2A.EA2.A$20.A2.A2.A2.A7.2A3.2A.2A$20.A16.2A3.2A.2A$20.A
5.A2.A2.2A$20.A.2A2.2A4.2A11.E$16.2A.E2.2A$14.A2.A14.2A3.2A.2A$32.2A
3.2A.2A$14.A2.A3.2A4.2A$15.A2.A2.2A4.2A11.E$11.2A.E.A.A$11.2A4.A9.2A
3.2A.2A$27.2A3.2A.2A$16.2A4.2A$10.2A4.2A4.2A11.E$6.2A.E2A.A$6.2A5.A8.
2A3.2A.2A$13.A8.2A3.2A.2A$6.A3.A2.A3.2A$5.A.A3.2A4.2A11.E$.2A.EA2.A$A
2.A2.A2.A7.2A3.2A.2A$A16.2A3.2A.2A$A5.A2.A2.2A$A.2A2.2A4.2A11.E$2.2A$
12.2A3.2A.2A$12.2A3.2A.2A$.2A4.2A$.2A4.2A11.E2$7.2A3.2A.2A$7.2A3.2A.
2A2$15.E$5.A$7.2A.2A$7.2A.2A2$10.E!
[...]

Citation needed · Post by **Citation needed** » January 9th, 2025, 7:06 am

A single gray cell can split a glider into two.

Code: Select all

x = 7, y = 7, rule = B4J5YC6N3S2-N3-CEKQ4AW6CInvestigator
6.E4$3A$2.A$.A!

unname4798 · Post by **unname4798** » January 9th, 2025, 10:40 am

Code: Select all

x = 14, y = 13, rule = B34j5cy6n/S2-n3-cekq4aw6cInvestigator
4.B2$13.B$8.E2$3.E2$10.E2$3A2.E$2.A$.A$11.B!

Gunned with period 60.

confocaloid · Post by **confocaloid** » January 10th, 2025, 3:00 am

unname4798 wrote: January 9th, 2025, 10:40 am
Code: Select all
x = 14, y = 13, rule = B34j5cy6n/S2-n3-cekq4aw6cInvestigator
4.B2$13.B$8.E2$3.E2$10.E2$3A2.E$2.A$.A$11.B!
Gunned with period 60.

Two-state seeds there tend to explode, but of course can be "contained". This seed lasts for over 10^6 ticks, before settling into three blocks and a p6 oscillator in the same frame:

Code: Select all

x = 25, y = 25, rule = B34j5cy6n/S2-n3-cekq4aw6cInvestigator
25C$C23.C$C23.C$C23.C$C23.C$C23.C$C23.C$C23.C$C13.A9.C$C9.4A10.C$C9.A
13.C$C10.3A10.C$C9.2A.A10.C$C8.3A12.C$C8.A2.A11.C$C9.A.A11.C$C23.C$C
23.C$C23.C$C23.C$C23.C$C23.C$C23.C$C23.C$25C!

These patterns settle into:

state-2 frame: a tub
state-3 frame: a blinker and a p90 glider shuttle that needs the frame to work
state-4 frame: unknown
state-5 frame: two blocks and a p6 oscillator after ~90 kiloticks
state-6 frame: a tub
state-7 frame: a block and a blinker
state-10 frame: two blocks, one of them touching the frame so that one of its cells oscillates
state-11 frame: two blocks and two p6 oscillators, one of them interacting with the frame
state-14 frame: a p6 oscillator
state-15 frame: unknown
state-16 frame: a p2 oscillation that needs the frame to work
state-17 frame: unknown
state-18 frame: a block, a blinker, a p6 oscillator and three dots that need the frame to survive
state-19 frame: two blocks and boundary-specific p4 oscillations
state-20 frame: a block and boundary-specific p4 oscillations
state-8, state-9, state-12, state-13 frames aren't shown due to causing growth into "outer space"; fate unknown

Code: Select all

x = 146, y = 86, rule = B34j5cy6n/S2-n3-cekq4aw6cInvestigator
12.2B28.2C28.2D28.2E28.2F$10.6B24.6C24.6D24.6E24.6F$8.3B4.3B20.3C4.3C
20.3D4.3D20.3E4.3E20.3F4.3F$6.3B8.3B16.3C8.3C16.3D8.3D16.3E8.3E16.3F
8.3F$4.3B12.3B12.3C12.3C12.3D12.3D12.3E12.3E12.3F12.3F$4.B16.B12.C16.
C12.D16.D12.E16.E12.F16.F$3.2B16.2B10.2C16.2C10.2D16.2D10.2E16.2E10.
2F16.2F$3.B18.B10.C18.C10.D18.D10.E18.E10.F18.F$2.2B18.2B8.2C18.2C8.
2D18.2D8.2E18.2E8.2F18.2F$2.B20.B8.C20.C8.D20.D8.E20.E8.F20.F$.2B20.
2B6.2C20.2C6.2D20.2D6.2E20.2E6.2F20.2F$.B22.B6.C22.C6.D22.D6.E22.E6.F
22.F$2B10.2A10.2B4.2C10.2A10.2C4.2D10.2A10.2D4.2E10.2A10.2E4.2F10.2A
10.2F$2B9.2A11.2B4.2C9.2A11.2C4.2D9.2A11.2D4.2E9.2A11.2E4.2F9.2A11.2F
$.B10.A11.B6.C10.A11.C6.D10.A11.D6.E10.A11.E6.F10.A11.F$.2B20.2B6.2C
20.2C6.2D20.2D6.2E20.2E6.2F20.2F$2.B20.B8.C20.C8.D20.D8.E20.E8.F20.F$
2.2B18.2B8.2C18.2C8.2D18.2D8.2E18.2E8.2F18.2F$3.B18.B10.C18.C10.D18.D
10.E18.E10.F18.F$3.2B16.2B10.2C16.2C10.2D16.2D10.2E16.2E10.2F16.2F$4.
B16.B12.C16.C12.D16.D12.E16.E12.F16.F$4.3B12.3B12.3C12.3C12.3D12.3D
12.3E12.3E12.3F12.3F$6.3B8.3B16.3C8.3C16.3D8.3D16.3E8.3E16.3F8.3F$8.
3B4.3B20.3C4.3C20.3D4.3D20.3E4.3E20.3F4.3F$10.6B24.6C24.6D24.6E24.6F$
12.2B28.2C28.2D28.2E28.2F5$12.2G28.2J28.2K28.2N28.2O$10.6G24.6J24.6K
24.6N24.6O$8.3G4.3G20.3J4.3J20.3K4.3K20.3N4.3N20.3O4.3O$6.3G8.3G16.3J
8.3J16.3K8.3K16.3N8.3N16.3O8.3O$4.3G12.3G12.3J12.3J12.3K12.3K12.3N12.
3N12.3O12.3O$4.G16.G12.J16.J12.K16.K12.N16.N12.O16.O$3.2G16.2G10.2J
16.2J10.2K16.2K10.2N16.2N10.2O16.2O$3.G18.G10.J18.J10.K18.K10.N18.N
10.O18.O$2.2G18.2G8.2J18.2J8.2K18.2K8.2N18.2N8.2O18.2O$2.G20.G8.J20.J
8.K20.K8.N20.N8.O20.O$.2G20.2G6.2J20.2J6.2K20.2K6.2N20.2N6.2O20.2O$.G
22.G6.J22.J6.K22.K6.N22.N6.O22.O$2G10.2A10.2G4.2J10.2A10.2J4.2K10.2A
10.2K4.2N10.2A10.2N4.2O10.2A10.2O$2G9.2A11.2G4.2J9.2A11.2J4.2K9.2A11.
2K4.2N9.2A11.2N4.2O9.2A11.2O$.G10.A11.G6.J10.A11.J6.K10.A11.K6.N10.A
11.N6.O10.A11.O$.2G20.2G6.2J20.2J6.2K20.2K6.2N20.2N6.2O20.2O$2.G20.G
8.J20.J8.K20.K8.N20.N8.O20.O$2.2G18.2G8.2J18.2J8.2K18.2K8.2N18.2N8.2O
18.2O$3.G18.G10.J18.J10.K18.K10.N18.N10.O18.O$3.2G16.2G10.2J16.2J10.
2K16.2K10.2N16.2N10.2O16.2O$4.G16.G12.J16.J12.K16.K12.N16.N12.O16.O$
4.3G12.3G12.3J12.3J12.3K12.3K12.3N12.3N12.3O12.3O$6.3G8.3G16.3J8.3J
16.3K8.3K16.3N8.3N16.3O8.3O$8.3G4.3G20.3J4.3J20.3K4.3K20.3N4.3N20.3O
4.3O$10.6G24.6J24.6K24.6N24.6O$12.2G28.2J28.2K28.2N28.2O5$12.2P28.2Q
28.2R28.2S28.2T$10.6P24.6Q24.6R24.6S24.6T$8.3P4.3P20.3Q4.3Q20.3R4.3R
20.3S4.3S20.3T4.3T$6.3P8.3P16.3Q8.3Q16.3R8.3R16.3S8.3S16.3T8.3T$4.3P
12.3P12.3Q12.3Q12.3R12.3R12.3S12.3S12.3T12.3T$4.P16.P12.Q16.Q12.R16.R
12.S16.S12.T16.T$3.2P16.2P10.2Q16.2Q10.2R16.2R10.2S16.2S10.2T16.2T$3.
P18.P10.Q18.Q10.R18.R10.S18.S10.T18.T$2.2P18.2P8.2Q18.2Q8.2R18.2R8.2S
18.2S8.2T18.2T$2.P20.P8.Q20.Q8.R20.R8.S20.S8.T20.T$.2P20.2P6.2Q20.2Q
6.2R20.2R6.2S20.2S6.2T20.2T$.P22.P6.Q22.Q6.R22.R6.S22.S6.T22.T$2P10.
2A10.2P4.2Q10.2A10.2Q4.2R10.2A10.2R4.2S10.2A10.2S4.2T10.2A10.2T$2P9.
2A11.2P4.2Q9.2A11.2Q4.2R9.2A11.2R4.2S9.2A11.2S4.2T9.2A11.2T$.P10.A11.
P6.Q10.A11.Q6.R10.A11.R6.S10.A11.S6.T10.A11.T$.2P20.2P6.2Q20.2Q6.2R
20.2R6.2S20.2S6.2T20.2T$2.P20.P8.Q20.Q8.R20.R8.S20.S8.T20.T$2.2P18.2P
8.2Q18.2Q8.2R18.2R8.2S18.2S8.2T18.2T$3.P18.P10.Q18.Q10.R18.R10.S18.S
10.T18.T$3.2P16.2P10.2Q16.2Q10.2R16.2R10.2S16.2S10.2T16.2T$4.P16.P12.
Q16.Q12.R16.R12.S16.S12.T16.T$4.3P12.3P12.3Q12.3Q12.3R12.3R12.3S12.3S
12.3T12.3T$6.3P8.3P16.3Q8.3Q16.3R8.3R16.3S8.3S16.3T8.3T$8.3P4.3P20.3Q
4.3Q20.3R4.3R20.3S4.3S20.3T4.3T$10.6P24.6Q24.6R24.6S24.6T$12.2P28.2Q
28.2R28.2S28.2T!

Citation needed · Post by **Citation needed** » January 11th, 2025, 7:33 pm

Not only can gray cells split gliders, the gliders can also be reflected by red cells.

Code: Select all

x = 50, y = 11, rule = B34j5cy6n/S2-n3-cekq4aw6cInvestigator
5.C12.C9.C10.C9.C6$.2A10.2A7.2A8.2A7.2A$A.A9.A.A6.A.A7.A.A6.A.A$2.A11.
A8.A9.A8.A2$49C!
180 degree reflection in glitter variant

confocaloid · Post by **confocaloid** » January 12th, 2025, 3:10 am

Some old stuff, "one CA, one RLE":

p496 Herschel factory and p372 glider gun

Code: Select all

x = 123, y = 44, rule = B3/S234cInvestigator
23.C$38.A$18.C19.A5.2A$38.3A3.2A$40.A5$23.C9$4.3A14.C52.3A$5.A.A67.A.
A44.A$6.2A29.C38.2A42.3A$119.A$.2A8.A59.2A8.A37.2A$A.A7.2A10.C47.A.A
7.2A$2A7.A.A58.2A7.A.A$A8.2A59.A8.2A2$4.2A68.2A17.B$4.A.A67.A.A$5.3A
67.3A20.C$22.C3$28.C2$87.C3$92.C5$97.C!

p2022 oscillator, p26224 gun that emits two spaceships per cycle, p8310 gun, and two patterns evolving into a p2591973 oscillator differing only in state-0 and state-1 cells:

Code: Select all

x = 155, y = 134, rule = B35/S23Investigator
C75.2A$C74.A2.A$C73.A4.A$C74.A2.A$C75.2A$C$C85.A$C83.2A$C72.3A7.3A68.
C$C72.A10.2A12.2A$C72.2A3.3A6.A.A8.A.A$C20.B52.A6.A5.2A.A7.A2.A$C69.
3A2.A2.I2.A5.AH2A8.A.A$C.3A24.B3.C40.A6.A5.2A.A7.A2.A$C.AHA68.2A3.3A
6.A.A8.A.A$C.3A68.A10.2A12.2A$C72.3A7.3A$C83.2A$C85.A$C$C23.B51.2A$C
74.A2.A$C73.A4.A$C74.A2.A$C75.2A$C$C$C$C$C9$25.C12$70.24C$70.C$70.C$
70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C6.A4.2A$70.C2A.
12D68.C$70.C6.A4.2A$70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C$70.C
$70.C$70.C$70.24C15$5.81C$5.C39.C3A2.A.A.A5.A.2A.A12.A2.A.AC$5.C39.CA
5.2A.2A.4A2.A2.4A.A2.A2.A.A3.AC$5.C39.C.A2.4A.2A.A.4A2.3A.A.A.2A.3A3.
2AC$5.C39.C2A.A.3A2.2A.A.A2.A2.A8.3A2.A.A.C$5.C39.CA.2A.4A.4A.2A2.3A.
A2.A2.2A2.3A2.AC$5.C39.C2A.2A2.2A2.A4.A.A.4A.A3.2A2.A2.3AC$5.C39.C2.
2A2.3A2.A.3A4.A.8A.A3.3A.C$5.C39.C.2A.A.6A.4A3.A3.A.2A2.6A.2AC$5.C39.
C3A2.6A2.A3.2A2.2A.A.A.A.A.A2.A2.AC$5.C39.C.A2.3A4.4A3.A4.2A3.2A.4A.A
2.C$5.C39.C3.A.2A.A2.3A5.A2.2A.3A2.A3.A3.AC$5.C39.C.2A2.A.2A.2A.A2.3A
.A2.3A3.3A2.2A.A.C$5.C39.C2A4.A.2A.2A2.2A2.A2.2A.A.4A2.A.A2.AC$5.C39.
C.A.A.A3.4A6.2A2.A.2A5.3A3.AC$5.C39.CA.A.4A.2A3.A2.A2.A.A2.A9.A.2AC$
5.C39.C5A2.6A2.A.A3.4A.A4.2A.2A2.AC$5.C39.CA2.A5.2A3.2A.A2.5A2.4A.A3.
A2.C$5.C39.C2.A2.A4.A2.2A3.A3.A2.A4.4A3.A.C$5.C23.I15.C3.A6.2A.2A.A.
4A.IA.A.A2.2A6.C$5.C19.H19.C5.2A2.A2.3A.3AHA2.4A.2A.2A3.A2.C$5.C39.C.
2A2.A.A.3A.2A4.2A2.A2.2A3.3A3.2AC$5.C39.C11.A3.2A.A.A.6A5.3A.A.C$5.C
39.CA.2A.2A3.7A.A.A.4A2.2A.3A.A.2AC$5.C39.CA4.A.2A.A3.A.A2.3A.4A.3A3.
4A.C$5.C39.CA7.A.A.A.A2.2A.2A5.5A2.A.A2.C$5.C39.CA.A.4A.3A.3A.2A.A.A.
2A.A2.3A2.3A.C$5.C39.C2.2A2.4A2.2A.2A4.2A.A.A.A.A.3A.A2.C$5.C39.C.4A
3.A2.A2.A2.A.2A.3A2.A.A3.A3.A.C$5.C39.C5.2A2.2A.3A.A.A.2A.A2.5A.A4.A.
C$5.C39.C.A4.A.A4.3A3.A.10A.A.A2.2AC$5.C39.C.A4.3A.A2.3A3.2A.3A8.A2.
3AC$5.C39.C.A.2A3.A2.A5.4A.A.2A.A3.2A.A.A.AC$5.C39.CA2.2A2.A.A.A.4A.
2A.A5.5A.A.A3.C$5.C39.C3A2.A.2A3.2A.A.A6.A.3A.2A.2A.2A.C$5.C39.C2A.A
3.2A.A2.4A3.A.A3.A.A2.3A4.AC$5.C39.C2.2A3.A2.3A.3A4.2A.A.A.A2.A.A2.A
2.C$5.C39.C7.A.A2.A3.3A.2A2.7A.3A4.C$5.C39.C.2A6.3A2.A.A5.A.A.A3.A.2A
.A.A.C$5.C39.CA.2A.A2.A.A.A4.A7.A.A2.3A3.A.AC$5.81C!

CARuler · Post by **CARuler** » January 19th, 2025, 6:53 pm

can someone make this into an and gate

Code: Select all

x = 107, y = 33, rule = B3ain678/S3458Investigator
103.B6$12.A$11.3A90.3A$11.3A90.3A$105.A4$4.B2$10.B2$4.B5$11.3A$11.3A$
12.A3$D5$2D!

edit: what

Code: Select all

x = 107, y = 33, rule = B3ain678/S3458Investigator
103.B6$12.A$11.3A90.3A$11.3A90.3A$105.A4$4.B15.C2$10.B2$4.B3$20.C2$11.
3A$11.3A$12.A3$D5$2D!

CARuler · Post by **CARuler** » January 23rd, 2025, 11:57 pm

Yoel wrote: March 24th, 2024, 11:55 pm

hassler in the states investigator rule

Code: Select all

x = 4, y = 1, rule = B34c5ae/S234eInvestigator
4H!

edit:
almost MWSS emulator

Code: Select all

x = 9, y = 1, rule = B34c5ae/S234eInvestigator
9H!

edit2:
likewise HWSS emulator

Code: Select all

x = 10, y = 1, rule = B34c5ae/S234eInvestigator
10H!

edit3:
p263 glider gun

Code: Select all

x = 1, y = 1, rule = B34c5ae/S234eInvestigator
I!

edit4:
p300

Code: Select all

x = 8, y = 1, rule = B34c5ae/S234eInvestigator
8L!

edit5:
p47 sparker with high clearance

Code: Select all

x = 8, y = 1, rule = B34c5ae/S234eInvestigator
8Q!

edit6:
i was trying to make a wire, but instead i found this

Code: Select all

x = 40, y = 31, rule = B34c5ae/S234eInvestigator
A.2A$A3.A19.B2.B2.B2.B2.B2.B$5.A10.B$A3.A19.B2.B2.B2.B2.B2.B$A.2A22$17.
A.2A$17.A3.A$22.A10.B$17.A3.A$17.A.2A!

edit7:what

Code: Select all

x = 38, y = 5, rule = B34c5ae/S234eInvestigator
A.2A$A3.A$5.A10.K2.K10.K6.K$A3.A$A.2A!

eRroR_6o6 · Post by **eRroR_6o6** » January 24th, 2025, 8:49 pm

CARuler wrote: January 19th, 2025, 6:53 pm can someone make this into an and gate
Code: Select all
x = 107, y = 33, rule = B3ain678/S3458Investigator
103.B6$12.A$11.3A90.3A$11.3A90.3A$105.A4$4.B2$10.B2$4.B5$11.3A$11.3A$
12.A3$D5$2D!

okay then

Code: Select all

x = 21, y = 15, rule = B3ain678/S3458Investigator
B19.B7$.3A13.3A$.3A13.3A$2.A15.A5$13.C!

(keep in mind this literally took around 2 minutes to make)

CARuler · Post by **CARuler** » January 30th, 2025, 2:56 pm

P26&a reaction

Code: Select all

x = 38, y = 5, rule = B2i3acijn4a6-a78/S2aen34inz5aekq678Investigator
35.3A3$17B$35.3B!

edit:

CARuler wrote: February 5th, 2025, 8:29 pm gun
Code: Select all
x = 6, y = 1, rule = B3/S23Investigator
3B3D!
edit2:
more osc
Code: Select all
x = 223, y = 170, rule = B2o6/S256HInvestigator
117.3H15$88.2D$171.7H13$155.4H7$121.5D13$197.8H18$151.9H7$211.3I24$216.
7I3$49.7B5$18.5B18$87.8B6$.9B16$70.6B23$10B!
edit3:
gun and uh... puffer (to big an explosion to fit into a collection)
Code: Select all
x = 55, y = 2, rule = B256/S2-mHInvestigator
5B$47.8B!
edit4:
gunagian
Code: Select all
x = 64, y = 3, rule = B256/S2-mHInvestigator
11B2$59.5B!
edit6:
Code: Select all
x = 76, y = 57, rule = B2o4/S2-pHInvestigator
24.2D7$8.6D7$43.12H30$73.3I4$54.2I8$9B!

edit2:

CARuler wrote: January 31st, 2025, 11:56 pm gun
Code: Select all
x = 13, y = 14, rule = B2/SInvestigator
13E$E11.E$E11.E$E11.E$E5.H5.E5$E5.H5.E$E11.E$E11.E$E11.E$13E!

CARuler · Post by **CARuler** » February 21st, 2025, 8:26 pm

p31

Code: Select all

x = 4, y = 1, rule = B2n3/S2ai35Investigator
4H!

edit: p131

Code: Select all

x = 5, y = 1, rule = B2n3/S2ai35Investigator
5H!

edit2:p25 hassler

Code: Select all

x = 6, y = 1, rule = B2n3/S2ai35Investigator
6H!

edit3:p205

Code: Select all

x = 8, y = 1, rule = B2n3/S2ai35Investigator
8H!

edit4:p100

Code: Select all

x = 9, y = 1, rule = B2n3/S2ai35Investigator
9H!

edit5:p42 hassler that is the meaning of life

Code: Select all

x = 7, y = 1, rule = B2n3/S2ai35Investigator
7J!

edit6:p28 high clearance sparker

Code: Select all

x = 4, y = 1, rule = B2n3/S2ai35Investigator
4L!

edit7:p608

Code: Select all

x = 10, y = 1, rule = B2n3/S2ai35Investigator
10L!

edit8: does something interesting before settling

Code: Select all

x = 4, y = 1, rule = B2n3/S2ai35Investigator
4M!

edit9: sparky p54

Code: Select all

x = 7, y = 1, rule = B2n3/S2ai35Investigator
7M!

confocaloid · Post by **confocaloid** » March 2nd, 2025, 4:21 am

Here is a capped period-34683 "B-spaceship" gun in IntegralifeInvestigator. Can anyone find a lower-period gun? As far as I know, there are no known guns yet in the base two-state CA (B3/S23-j "Integralife").

This gun emits spaceships on two different lanes:
* one spaceship downwards (see generation 34407)
* six (!) spaceships to the right, all on the same lane but timed irregularly (see generations 3116, 8489, 12857, 19927, 24370, 34013)

Code: Select all

x = 71, y = 54, rule = B3/S23-jInvestigator
70.C7$2.A2.A$.A4.A$3.I2.A$A3$4.A$A.H39$2.C!
#C [[ ZOOM 6 ]]

CARuler · Post by **CARuler** » March 9th, 2025, 6:48 pm

a p72

Code: Select all

x = 8, y = 1, rule = B3-ceq4w5a7c8/S2aen3aejnr4aqrw5cijq6a7cInvestigator
8Q!

edit: p60

Code: Select all

x = 10, y = 1, rule = B3-ceq4w5a7c8/S2aen3aejnr4aqrw5cijq6a7cInvestigator
10S!

confocaloid · Post by **confocaloid** » March 9th, 2025, 7:16 pm

CARuler wrote: February 21st, 2025, 8:26 pm

CARuler wrote: March 9th, 2025, 6:48 pm

It is very easy to draw a line of orthogonally connected cells of some state. For a given CA, this is one of several obvious things to do during "early exploration". Unless such a line happens to evolve into some interesting object or lead to some remarkable reaction, it is non-notable and doesn't need to be posted at all. Posting such simple lines is extremely low-effort and unlikely to add anything of interest to other people.

[R]Investigator is well-known[1] for having lots and lots of easily-constructed oscillators relying on higher-numbered cellstates. Most such oscillators are non-notable and don't need to be posted. There are simply way too many similar oscillators in [R]Investigator to collect them all. Nobody is going to do all the record-keeping needed to determine when, how, who found a given oscillator. It is also very easy to "rediscover" them.

Unless your hand-drawn seed happens to produce something really remarkable, please do not post it at all.

[1]: viewtopic.php?p=203713#p203713

CARuler · Post by **CARuler** » March 9th, 2025, 7:27 pm

p101 hassler

Code: Select all

x = 3, y = 2, rule = B3-ceq4w5a7c8/S2aen3aejnr4aqrw5cijq6a7cInvestigator
.H$3E!

edit:
turns into a grid of blocks

Code: Select all

x = 19, y = 19, rule = B3-ceq4w5a7c8/S2aen3aejnr4aqrw5cijq6a7cInvestigator
8.3E$9.H7$E17.E$EH15.HE$E17.E7$9.H$8.3E!

muzik · Post by **muzik** » March 15th, 2025, 7:48 am

No idea what period this is - it takes more than 40 million generations to settle at least:

Code: Select all

x = 13, y = 2, rule = B2/S34HInvestigator:T20,20
D$3.D4.I3.H!

CARuler · Post by **CARuler** » March 17th, 2025, 10:09 pm

p58

Code: Select all

x = 3, y = 11, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7cInvestigator
.Q8$.A$3A$3A!

edit:
gun period doubler

Code: Select all

x = 5, y = 30, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7cInvestigator
4.T8$.A$3A$3A17$.A$3A$3A!

converter in minimal form

Code: Select all

x = 6, y = 9, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7cInvestigator
5.D6$3A$2.A$.2A!

WhiteHawk · Post by **WhiteHawk** » April 10th, 2025, 10:36 am

"Severed head" version of Figure Eight in the StateInvestigator of this rule, requiring only two eternal off cells to work

Code: Select all

x = 7, y = 7, rule = B3/S234cInvestigator
$.2A$.2A.A$4.EA$2.AEA.A$3.A.A$4.A!

EDIT: Two Eternal On cells work to reduce it further. Neither pattern works in B3/S23Investigator

Code: Select all

x = 5, y = 5, rule = B3/S234cInvestigator
2A$2A.A$3.ED$.AEA$2.D!

EDIT by dvgrn: moved out of the B3/S234c thread, since the patterns don't work in B3/S234c. Except in rare cases where there's some hope of replacing nonstandard cells by catalysts, StateInvestigator patterns are too likely to cause clutter. There are probably incredible numbers of new StateInvestigator guns and oscillators and so on in every interesting two-state rule. Posting them in the dedicated threads for that rule could easily overwhelm the legitimate content.

Thanks! I realized after posting that it was probably off-topic in the thread, but it was too late to move it and I didn't known where was the best place for it.

CARuler · Post by **CARuler** » April 16th, 2025, 10:16 pm

p13

Code: Select all

x = 10, y = 1, rule = B36i/S235iInvestigator
10B!

edit:
p26 with big sparks

Code: Select all

x = 3, y = 1, rule = B36i/S235iInvestigator
3D!

edit2:
sparky p26

Code: Select all

x = 4, y = 1, rule = B36i/S235iInvestigator
4D!

edit3:
p15

Code: Select all

x = 17, y = 7, rule = B36i/S235iInvestigator
2.3A7.3A$.4A7.4A$2A.A4.A4.A.2A$3A11D3A$2A.A4.A4.A.2A$.4A7.4A$2.3A7.3A
!

edit4:
p12

Code: Select all

x = 9, y = 1, rule = B36i/S235iInvestigator
9F!

edit5:
p56

Code: Select all

x = 3, y = 1, rule = B36i/S235iInvestigator
3H!

edit6:
binary counter

Code: Select all

x = 9, y = 1, rule = B36i/S235iInvestigator
9J!

edit7:
block hassler

Code: Select all

x = 10, y = 1, rule = B36i/S235iInvestigator
10J!

edit8:
p28

Code: Select all

x = 9, y = 1, rule = B36i/S235iInvestigator
9S!

PiSpaceships · Post by **PiSpaceships** » April 21st, 2025, 9:08 am

p7 gun:

Code: Select all

x = 5, y = 3, rule = B2e3ai/S1c2ce3ainInvestigator
E3.E$E3DE$E3.E!

edit: a wire and a clock:

Code: Select all

x = 35, y = 3, rule = B2e3-eqry/S1c2-ak3ainInvestigator
.A7.A7.A7.A7.A$A6.2A6.2A6.2A6.2A.A$O.O.O.O.O.O.O.O.O.O.O.O.O.O.O.O.O.
O!

edit2: an interesting gun:

Code: Select all

x = 5, y = 7, rule = B2e3-ekr4k/S1c2-a3-nInvestigator
2.O2$.3A$E3DE$.3A2$2.O!

edit3: another gun:

Code: Select all

x = 7, y = 6, rule = B2e3-ekr4k/S1c2-a3-nInvestigator
3.D$3.O$BA3.AB$.2A.2A$.E3DE$2.A.A!

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