Extended Life Extensions

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NoAyeBeardo
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Joined: June 16th, 2020, 12:38 pm
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Re: Extended Life Extensions

Post by NoAyeBeardo »

Accidentally discovered repeat time 69 color-preserving 0deg reflector with bounding box 9x6:

Code: Select all

x = 49, y = 29, rule = extendedlife
5E2.5E$E6.E3.E$E6.E3.E$5E2.5E$E3.E6.E36.A$E3.E6.E34.2A$5E6.E35.2A16$29.
A.A$28.E2A$30.A2$31.F4.E2$31.E!
Not inactive any more! :D
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Entity Valkyrie 2
Posts: 2052
Joined: February 26th, 2019, 7:13 pm
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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

The glider reflector with the lowest repeat time is 19:

Code: Select all

x = 23, y = 14, rule = StateInvestigator
21.A$3.E16.A$4.E15.3A$E4.E4.C$.E3.D4.D$2.E3.E.E.DC5.A$3.E2.D.E2.DE2.
2A$5.D.E5.E2.2A$5.C5.BE$13.E$8.E2.DE$8.E.DC$10.D$10.C!
Bx222 IS MY WORST ENEMY.

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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

A whole family of G-to-H based on a spark-to-herschel. All repeat times are 49, which is the minimum.

Code: Select all

x = 227, y = 553, rule = StateInvestigator
215.A$215.A.A$93.A121.2A$91.A.A$92.2A8$18.E.E183.A$202.2A$104.A98.2A$
20.D84.2A$104.2A95.E$23.E178.D$19.E3.DE19.E69.DE19.E67.E.DE19.E$13.2A
6.CD2.DE85.CD2.DE85.CD2.DE$14.2A11.E90.E90.E$13.A9.E4.E85.E4.E85.E4.E
$24.E13.A66.E9.E13.A76.E13.A$25.E12.A77.E12.A77.E12.A$38.3A88.3A88.3A
$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E
85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E$.2A$A.A$2.A14$
216.A$93.A122.A.A$91.A.A122.2A$92.2A8$21.ED$205.A$22.E81.A98.2A$105.
2A4.C92.2A$21.D82.2A$110.ED3.C2$23.DE19.E69.DE19.E69.DE19.E$21.CD2.DE
82.E2.CD2.DE83.DECD2.DE$13.2A12.E90.E90.E$14.2A7.E4.E85.E4.E85.E4.E$
13.A10.E13.A76.E13.A76.E13.A$25.E12.A77.E12.A77.E12.A$38.3A88.3A88.3A
$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E
85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E2$.2A$A.A$2.A13$
93.A123.A$91.A.A123.A.A$92.2A123.2A10$104.A101.A$105.2A97.2A$104.2A
99.2A$21.E.B$21.D89.ED$22.2E89.E91.E$20.E2.DE19.E69.DE19.E69.DE19.E$
21.CD2.DE85.CD2.DE85.CD2.DE$27.E90.E90.E$13.2A8.E4.E85.E4.E85.E4.E$
14.2A8.E13.A76.E13.A76.E13.A$13.A11.E12.A77.E12.A77.E12.A$38.3A88.3A
88.3A$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED
3.E85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E3$.2A$A.A$2.A
11$93.A$91.A.A124.A$92.2A124.A.A$218.2A9$104.A$105.2A100.A$104.2A99.
2A$206.2A2$20.E182.E$205.EC$23.DE19.E69.DE19.E69.DE19.E$21.CD2.DE81.E
3.CD2.DE85.CD2.DE$27.E80.DE.C6.E90.E$23.E4.E85.E4.E85.E4.E$13.2A9.E
13.A76.E13.A76.E13.A$14.2A9.E12.A77.E12.A77.E12.A$13.A24.3A88.3A88.3A
$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E
85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E4$.2A$A.A$2.A9$
93.A$91.A.A$92.2A125.A$219.A.A$219.2A8$104.A$105.2A$104.2A102.A$206.
2A$207.2A$20.C$19.E.D$22.E181.E$23.DE19.E69.DE19.E69.DE19.E$21.CD2.DE
85.CD2.DE85.CD2.DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.
A76.E13.A$13.2A10.E12.A77.E12.A77.E12.A$14.2A22.3A88.3A88.3A$13.A10.E
15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E85.ED3.
E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E5$.2A$A.A$2.A7$93.A$91.
A.A$92.2A$220.A$220.A.A$220.2A7$104.A$105.2A$104.2A$209.A$207.2A$208.
2A2$20.ED91.E90.C$19.D2.E91.E$23.DE19.E69.DE19.E69.D2E18.E$21.CD2.DE
85.CD2.DE85.CD2.DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.
A76.E13.A$25.E12.A77.E12.A77.E12.A$13.2A23.3A88.3A88.3A$14.2A8.E15.A
74.E15.A74.E15.A$13.A10.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E85.ED3.
E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E6$.2A$A.A$2.A5$93.A$91.
A.A$92.2A2$221.A$221.A.A$221.2A6$104.A$105.2A$104.2A2$210.A$208.2A$
209.2A2$205.E2$23.DE19.E66.E2.DE19.E69.D2EC17.E$21.CD2.DE85.CD2.DE85.
CD2.DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.A76.E13.A$
25.E12.A77.E12.A77.E12.A$20.E17.3A88.3A88.3A$13.2A9.E15.A74.E15.A74.E
15.A$14.2A.E6.D11.E78.D11.E78.D11.E$13.A9.ED3.E85.ED3.E85.ED3.E$27.B
90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E7$.2A$A.A$2.A3$93.A$91.A.A$
92.2A3$222.A$222.A.A$222.2A5$104.A$105.2A$104.2A3$211.A$209.2A$210.2A
$205.C2$114.E$23.DE19.E67.E.DE19.E69.DE19.E$21.CD2.DE85.CD2.DE85.CD2.
DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.A76.E13.A$25.E
12.A77.E12.A77.E12.A$38.3A88.3A88.3A$24.E15.A74.E15.A74.E15.A$13.2A9.
D11.E78.D11.E78.D11.E$14.2A7.ED3.E85.ED3.E85.ED3.E$13.A13.B90.B90.B$
22.E90.E90.E$22.B2E88.B2E88.B2E8$.2A$A.A$2.A$93.A$91.A.A$92.2A4$223.A
$223.A.A$223.2A4$104.A$105.2A$104.2A4$212.A$210.2A$211.2A2$114.E$115.
C$23.DE19.E66.C2.DE19.E69.DE.E17.E$21.CD2.DE85.CD2.DE85.CD2.DE$27.E
90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.A76.E13.A$25.E12.A77.E
12.A77.E12.A$38.3A88.3A88.3A$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.
E78.D11.E$13.2A8.ED3.E85.ED3.E85.ED3.E$14.2A11.B90.B90.B$13.A8.E90.E
90.E$22.B2E88.B2E88.B2E9$.2A$A.A90.A$2.A88.A.A$92.2A10$104.A$105.2A$
104.2A10$114.E$23.DE19.E69.DE19.E$21.CD2.DE85.CD2.DE$27.E90.E$23.E4.E
85.E4.E$24.E13.A76.E13.A$25.E12.A77.E12.A$38.3A88.3A$24.E15.A74.E15.A
$24.D11.E78.D11.E$23.ED3.E85.ED3.E$13.2A12.B90.B$14.2A6.E90.E$13.A8.B
2E88.B2E9$93.A$.2A88.A.A$A.A89.2A$2.A9$104.A$105.2A$104.2A11$113.E$
23.DE19.E69.DE19.E$21.CD2.DE85.CD2.DE$21.E5.E90.E$23.E4.E85.E4.E$24.E
13.A76.E13.A$25.E12.A77.E12.A$38.3A88.3A$24.E15.A74.E15.A$24.D11.E78.
D11.E$23.ED3.E85.ED3.E$27.B90.B$13.2A7.E90.E$14.2A6.B2E88.B2E$13.A7$
93.A$91.A.A$92.2A$.2A$A.A$2.A7$104.A$105.2A$104.2A12$113.E3.C85.A$
114.DE19.E69.DE19.E$112.CD2.DE85.CD2.DE$118.E90.E$114.E4.E85.E4.E$
115.E13.A76.E13.A$116.E12.A77.E12.A$129.3A88.3A$115.E15.A74.E15.A$
115.D11.E78.D11.E$114.ED3.E85.ED3.E$118.B90.B$113.E90.E$113.B2E88.B2E
$220.E.E.3E$220.E.E.E.E$220.3E.3E$222.E3.E$222.E.3E!
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
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EvinZL
Posts: 1040
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Re: Extended Life Extensions

Post by EvinZL »

I made a history rule because I really needed one:

Code: Select all

@RULE SIHistory
# 1: life
# 2: live deathforcer
# 3: deathforcer
# 4: always live
# 5: block
# 6: history
# 7: mark
# 8: mark live


@TABLE
neighborhood: Moore
symmetries: permute
n_states: 9

var a0 = {0,1,2,3,4,5,6,7,8}
var a1 = a0
var a2 = a0
var a3 = a0
var a4 = a0
var a5 = a0
var a6 = a0
var a7 = a0
var _b0 = {0,6}
var _c0 = {8,1,2,4}
var _c1 = _c0
var _c2 = _c0
var _d0 = {0,3,5,6,7}
var _d1 = _d0
var _d2 = _d0
var _d3 = _d0
var _d4 = _d0
var _e0 = {2,3}
var _f0 = {8,1}
var _g0 = {8,1,4}
var _g1 = _g0
var _h0 = {0,5,6,7}
var _h1 = _h0
var _h2 = _h0
var _h3 = _h0
var _h4 = _h0

_b0, _c0, _c1, _c2, _d0, _d1, _d2, _d3, _d4, 1
7, _c0, _c1, _c2, _d0, _d1, _d2, _d3, _d4, 8
1, _e0, a0, a1, a2, a3, a4, a5, a6, 6
8, _e0, a0, a1, a2, a3, a4, a5, a6, 7
_f0, _g0, _g1, a0, _h0, _h1, _h2, _h3, _h4, _f0
1, a0, a1, a2, a3, a4, a5, a6, a7, 6
8, a0, a1, a2, a3, a4, a5, a6, a7, 7

@COLORS
1    0  236   91
2    0  192  255
3  255    0    0
4  255  255  255
5   75   75   75
6    0    0  128
7  255  255    0
8   70  255  160
Rule:SIHistory


Some conduits:

Code: Select all

x = 78, y = 63, rule = SIHistory
11.F$10.3G$10.FGF$9.3G2F$9.5F$8.6F$8.6F$9.5F$9.6F$8.6F$8.7F$9.6F$9.6F
$9.6F$8.8F$7.8F$7.9F$7.9F$6.10F$6.3F2A5F$5.4F2A5F$3.D.11F$3.E12F36.2D
$3.D2.10F37.F$3.D13F36.3F$5.13F34.6F$4.15F24.C7.10F$4.15F22.4F.2F3.
11F3.2F2.2F$3.11F3.2F21.11FG3F2A15FG$3.11F4.F20.C11F2G2F2A15FGFG$3.4F
H6F25.13F2G18F3GF$4.3FHFH4F.F21.15FG21FG$4.3F3H5F2A20.2FH11FG21F$3.6F
H3F.F2A19.3FHFH4F.3F3.13F.F$2.10F3.F21.2F3H4F.2F4.7F.F$2.9F26.4FH4F$
4.5F29.7F$3.7F$3.3FA3F$2.3FAFA3F$2.3FAFA3F$2.4FA4F$2AF.5F.FB$DAF.6F.B
$5.2F2.2B4$54.2D$55.F$55.3F$54.6F$53.10F$41.2FE3F.2F3.11F3.2F2.2F$40.
13FG3F2A15FG$39.C13F2G2F2A15FGFG$39.15F2G18F3GF$37.17FG21FG$37.2FH13F
G21F$36.3FHFH4F.5F3.13F.F$37.2F3H4F2.3F4.7F.F$37.4FH4F$38.7F!
Edit 1: G to h

Code: Select all

x = 46, y = 19, rule = SIHistory
37.E2D$16.A19.3FE$16.A.A16.FAF$16.2A14.D.EAFAF$32.C3F2AF.2A$33.7F2A$
3.2A4.3F22.7F$2.F2AF2.5F13.2F6.7F$3.3F2.5F2.F10.4F4.6F$4.F2.13F.F3.
16F$2.5FG10FG15FG8F$.6FGFG8F2G14F2G8FG$C2F3GF2G10F2G14F2G5F3GF$.2FGFG
13FG14F2G6FGFG$2.FGFG12FG23FG$2.8F2.3F4.5FE12F2.2F$2.13F10.8F$2.2F2A
7F12.8F$3.E2DE.3F15.2F2.F!
Edit 2:

Code: Select all

x = 13, y = 10, rule = SIHistory
10.3G$9.3FG$8.3FG$3.F.C.4F$.9F$.2FH6F$3FHFH4F$.2F3H4F$.4FH4F$2.7F!
Edit 3: I believe this is a smaller p16 gun:

Code: Select all

x = 60, y = 62, rule = StateInvestigator
28.E2B$22.D4.E2.E$23.CE.CB$20.4D3.B$20.E3.D.E.E$22.A3.D$22.2A.E$25.C$
35.E2.E$37.3A$37.3A$3.E2.2EA.AE20.E3.A3.AE$8.A2.EA23.2A.2A$8.A4.2A$E
10.A.2A12.2A.A10.E$25.E.2A4.A$.2A.2A23.AE2.A$EA3.A3.E20.EA.A2E2.E$2.
3A20.EB19.E2B$2.3A20.E14.D4.E2.E$3.E2.E13.A20.CE.CB$21.2A15.4D3.B$5.D
E13.2A16.E3.D.E.E$5.D34.A3.D$3.D.D.2A15.A14.A3.E$4.CD2.A16.2A12.A2.AC
$4.E.D17.2A13.A2.A10.E2.E$8.EC7.E2.B18.2A$4.C.ED11.EB7.A12.A$3.E2B23.
2A19.E8.E$2.E3.E21.2A20.2A3.2A$2.B12.3A30.2A.A3.A.2A$2.BE10.A3.2E28.
2A7.2AE$14.A4.A23.E4.2A.A3.A.2A$13.E5.A28.E.2A3.2A$14.2A.3A28.E3.2E2.
E$19.E16.A6.EB$10.E8.E17.2A4.E$36.2A$13.3A.2A$10.E2.A5.E3.DE15.A$13.
3A.2A4.D17.2A$21.D.D.2A13.2A$13.E2.E5.CD2.A2.3A$22.E.D4.A14.A$26.EC2.
A4.E2.B6.2A$22.C.ED11.EB5.2A$21.E2B$20.E3.E23.A$20.B28.2A$20.BE14.2E
10.2A2$31.E.3A16.A$33.A.A17.2A$33.A.A.E14.2A$28.E8.E$33.A.A20.A$33.A.
A21.2A$28.E4.3A.E18.2A3$31.E2.E!
Edit 4: Compacted even more:

Code: Select all

x = 57, y = 60, rule = StateInvestigator
27.E2B$26.E2.E$20.2ECE.CB$19.4D3.B$19.E3.D.E.E$21.A3.D$20.A3.E$20.A2.
AC$20.A2.A10.E2.E$20.2A$22.A$31.E8.E$3.E2.2E3.E19.2A3.2A$4.A3.A2.E17.
2A.A3.A.2A$3.2A3.2A19.2A7.2AE$E.A7.A13.E4.2A.A3.A.2A$3.2A3.2A19.E.2A
3.2A5.E2B$4.A3.A20.E3.2E2.E4.E2.E$E8.E7.A6.EB10.2ECE.CB$18.2A4.E10.4D
3.B$17.2A16.E3.D.E.E$3.4E30.A3.D$4.DE31.2A.E$3.ED35.C$3.ED.2A42.E2.E$
3.CD2.A2.3A$3.E.D4.A14.A$7.EC2.A4.E2.B6.2A19.E8.E$3.C.ED11.EB5.2A20.
2A3.2A$2.E2B40.2A.A3.A.2A$.E3.E23.A15.2A7.2AE$.B28.2A8.E4.2A.A3.A.2A$
.BE14.2E10.2A14.E.2A3.2A$45.E3.2E2.E$12.E.3A16.A6.EB$14.A.A17.2A4.E$
14.A.A.E14.2A$9.E8.E$14.A.A3.DE15.A$14.A.A2.ED17.2A$9.E4.3A.2ED.2A13.
2A$19.CD2.A$19.E.D19.A$12.E2.E7.EC7.E2.B6.2A$19.C.ED11.EB5.2A$18.E2B$
17.E3.E23.A$17.B28.2A$17.BE14.2E10.2A2$28.E.3A16.A$30.A.A17.2A$30.A.A
.E14.2A$25.E8.E$30.A.A20.A$30.A.A21.2A$25.E4.3A.E18.2A3$28.E2.E!
GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Extended Life Extensions

Post by GUYTU6J »

GUYTU6J wrote: June 13th, 2020, 12:14 pm Is there support for these states? If not, can we add them?
State 17: never change itself, treated as on considering births of cells, but off for survivals of cells
State 18: never change itself, treated as off considering births of cells, but on for survivals of cells
State 19: changes into state 20 next tick, treated as on considering births of cells, but off for survivals of cells
State 20: changes into state 19 next tick, treated as off considering births of cells, but on for survivals of cells
...
Two more:
State 21: p2 working inverter, changes into state 22 next tick, works like inverter
State 22: p2 silent inverter, changes into state 21 next tick, treated as eternal off

------
Now that we have lots of Life extensions, involving additional states for annotations and evolutions, we need a table summarizing all of them. I will put it in User:GUYTU6J/Life_extensions.
User avatar
Entity Valkyrie 2
Posts: 2052
Joined: February 26th, 2019, 7:13 pm
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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

There's no point giving an inverter an "on" or "off", since ALL live cells around the inverter will die, and ALL dead cells around the inverter will become alive. "On" and "off" only matter if birth/survival depends on it, and in the case with inverter, it does not.

EDIT: These states will be in the v3 version of SI.
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
Please click here for my own pages (and oscillator stamp collections)
User avatar
NoAyeBeardo
Posts: 261
Joined: June 16th, 2020, 12:38 pm
Location: A house, or a flat, or a [click to expand]

Re: Extended Life Extensions

Post by NoAyeBeardo »

Entity Valkyrie 2 wrote: July 22nd, 2020, 8:13 am The glider reflector with the lowest repeat time is 19:

Code: Select all

x = 23, y = 14, rule = StateInvestigator
21.A$3.E16.A$4.E15.3A$E4.E4.C$.E3.D4.D$2.E3.E.E.DC5.A$3.E2.D.E2.DE2.
2A$5.D.E5.E2.2A$5.C5.BE$13.E$8.E2.DE$8.E.DC$10.D$10.C!
Well, my one does have population 4 and bounding box 9x6.

But it is 0deg...
Not inactive any more! :D
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Moosey
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Re: Extended Life Extensions

Post by Moosey »

Entity Valkyrie 2 wrote: July 22nd, 2020, 8:13 am The glider reflector with the lowest repeat time is 19:

Code: Select all

x = 23, y = 14, rule = StateInvestigator
21.A$3.E16.A$4.E15.3A$E4.E4.C$.E3.D4.D$2.E3.E.E.DC5.A$3.E2.D.E2.DE2.
2A$5.D.E5.E2.2A$5.C5.BE$13.E$8.E2.DE$8.E.DC$10.D$10.C!
Impressive! That makes SI omniperiodic!
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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Re: Extended Life Extensions

Post by yujh »

Moosey wrote: July 26th, 2020, 9:55 am
Entity Valkyrie 2 wrote: July 22nd, 2020, 8:13 am The glider reflector with the lowest repeat time is 19:

Code: Select all

x = 23, y = 14, rule = StateInvestigator
21.A$3.E16.A$4.E15.3A$E4.E4.C$.E3.D4.D$2.E3.E.E.DC5.A$3.E2.D.E2.DE2.
2A$5.D.E5.E2.2A$5.C5.BE$13.E$8.E2.DE$8.E.DC$10.D$10.C!
Impressive! That makes SI omniperiodic!
It is alreadily, I think(Only with the blocker it is ominiperiodic)but still a pretty nice thing
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
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Moosey
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Re: Extended Life Extensions

Post by Moosey »

yujh wrote: July 26th, 2020, 6:33 pm
Moosey wrote: July 26th, 2020, 9:55 am
Entity Valkyrie 2 wrote: July 22nd, 2020, 8:13 am The glider reflector with the lowest repeat time is 19:

Code: Select all

x = 23, y = 14, rule = StateInvestigator
21.A$3.E16.A$4.E15.3A$E4.E4.C$.E3.D4.D$2.E3.E.E.DC5.A$3.E2.D.E2.DE2.
2A$5.D.E5.E2.2A$5.C5.BE$13.E$8.E2.DE$8.E.DC$10.D$10.C!
Impressive! That makes SI omniperiodic!
It is alreadily, I think(Only with the blocker it is ominiperiodic)but still a pretty nice thing
Fair.

Challenge: find an RT 14 reflector in SI; that would be the lowest possible repeat time.
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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Re: Extended Life Extensions

Post by FWKnightship »

Moosey wrote: July 26th, 2020, 8:26 pm Challenge: find an RT 14 reflector in SI; that would be the lowest possible repeat time.
Repeat time 15,from this thread:

Code: Select all

x = 40, y = 15, rule = StateInvestigator
23.E$22.E$.A19.E$2.A18.E$3A17.E2A3.E$19.E2D.A2.2DE$4.A15.A.D2ED2.D$5.
2A18.E2AE$4.2A2.ED15.E2.E$10.2E$10.AD2.D2.D2.D2.D2.D2.D2.D2.D2.2D$9.A
$10.AD2.D2.D2.D2.D2.D2.D2.D2.D2.2D$10.2E$8.ED!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
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Re: Extended Life Extensions

Post by Hunting »

FWKnightship wrote: July 26th, 2020, 9:38 pm
Moosey wrote: July 26th, 2020, 8:26 pm Challenge: find an RT 14 reflector in SI; that would be the lowest possible repeat time.
Repeat time 15,from this thread:

Code: Select all

x = 40, y = 15, rule = StateInvestigator
23.E$22.E$.A19.E$2.A18.E$3A17.E2A3.E$19.E2D.A2.2DE$4.A15.A.D2ED2.D$5.
2A18.E2AE$4.2A2.ED15.E2.E$10.2E$10.AD2.D2.D2.D2.D2.D2.D2.D2.D2.2D$9.A
$10.AD2.D2.D2.D2.D2.D2.D2.D2.D2.2D$10.2E$8.ED!
15 is a ridiculously long repeat time when coming to lightspeed signals.
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Re: Extended Life Extensions

Post by yujh »

Hunting wrote: July 26th, 2020, 10:28 pm
FWKnightship wrote: July 26th, 2020, 9:38 pm
Moosey wrote: July 26th, 2020, 8:26 pm Challenge: find an RT 14 reflector in SI; that would be the lowest possible repeat time.
Repeat time 15,from this thread:

Code: Select all

x = 40, y = 15, rule = StateInvestigator
23.E$22.E$.A19.E$2.A18.E$3A17.E2A3.E$19.E2D.A2.2DE$4.A15.A.D2ED2.D$5.
2A18.E2AE$4.2A2.ED15.E2.E$10.2E$10.AD2.D2.D2.D2.D2.D2.D2.D2.D2.2D$9.A
$10.AD2.D2.D2.D2.D2.D2.D2.D2.D2.2D$10.2E$8.ED!
15 is a ridiculously long repeat time when coming to lightspeed signals.
The repeat time is 14(if I’m not wrong)(recovers after 13 gens)


After 1 hour:it’s my nature to be stupid:just hit the upper part with a glider!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

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Re: Extended Life Extensions

Post by Moosey »

indeed, that is a RT 14 (EDIT: 15, with an overclocking thing) G reflector-- impressive!

Code: Select all

x = 45, y = 36, rule = StateInvestigator
3E.E.E.3E.2E21.E2.2E2.E$E.E.E.E.2E2.2E21.E2.E2.3E$3E2.E2.3E.E.E20.E.
2E3.E6$15.E23.E$14.E23.E$13.E23.E$13.E23.E$12.E2A3.E17.E2A3.E$11.E2D.
A2.2DE14.E2D.A2.2DE$12.A.D2ED2.D15.A.D2ED2.D$17.E2AE20.E2AE$17.E2.E
20.E2.E2$14.3A21.3A$16.A23.A$15.A23.A$11.2A22.A$10.A.A22.2A$12.A21.A.
A2$31.2A$30.A.A$32.A2$27.2A$28.2A$27.A2$23.3A$25.A$24.A!
(90 degrees):

Code: Select all

x = 13, y = 12, rule = StateInvestigator
4.E$3.E$2.E$2.E$.E2A3.E$E2D.A2.2DE$.A.D2ED2.D$6.E2AE$6.E2.E$11.A$10.
2A$10.A.A!
That means all (EDIT: all but p14) G streams can be reflected in SI.

In fact, you can also split all (EDIT: except p14) G streams:

Code: Select all

x = 56, y = 33, rule = StateInvestigator
20.A$21.2A$20.2A2$25.A$3E.E.E.3E.2E9.A.A9.E2.2E2.E$E.E.E.E.2E2.2E10.
2A9.E2.E2.3E$3E2.E2.3E.E.E20.E.2E3.E$27.A.A$28.2A18.E$18.E9.A18.E$17.
E14.A13.E$16.E16.A12.E$.A.A12.E14.3A11.E2A3.E$2.2A11.E2A3.E22.E2D.A2.
2DE$2.A11.E2D.A2.2DE11.A9.A.D2ED2.D$5.A9.A.D2ED2.D12.2A12.E2AE$6.2A
12.E2AE11.2A2.ED9.E2.E$5.2A2.ED9.E2.E17.2E$11.2E28.AD2.D2.D2.D2.D$11.
AD2.D2.D2.D2.D15.A14.E$10.A14.E15.AD2.D2.D2.D2.D$11.AD2.D2.D2.D2.D16.
2E$11.2E26.ED9.E2.E$9.ED9.E2.E26.E2AE$20.E2AE21.A.D2ED2.D$15.A.D2ED2.
D20.E2D.A2.2DE$14.E2D.A2.2DE21.E2A3.E$15.E2A3.E24.E$16.E29.E$16.E30.E
$17.E30.E$18.E!
EDIT: or not? It seems to break, huh

EDIT: alas, both the reflector and the splitter have RT 15 (but they have an overclocking reaction); still, we get true period N guns for N at least 15:

Code: Select all

x = 74, y = 74, rule = StateInvestigator
21.A$20.2A$20.A.A2$24.2A$24.A.A$24.A3.E$29.E$28.2AE$27.2A.E$25.E2.A2.
E$23.E2D2.A.2DE$23.D2.D2ED.A$23.E2AE$23.E2.E9.DE$31.A2.2E$22.D2.D2.D.
AD2.DA$21.E6.A7.A$22.D2.D2.D.AD2.DA$31.A2.2E$23.E2.E9.DE2.2A29.2A$23.
E2AE12.2A15.E15.2A$23.D2.D2ED.A9.A13.D.D13.A$23.E2D2.A.2DE17.ED2E5.2E
DE$25.E2.A2.E11.3A4.D.A7.A.D4.3A$27.2A.E12.A5.ED.A2.D.D2.A.DE5.A$28.
2AE13.A6.D2E5.2ED6.A$29.E18.A2.E9.E2.A$24.A3.E16.E.4AE3.DAD3.E4A.E$
24.A.A19.EA3.D9.D3.AE$24.2A21.2E.D4.A.A4.D.2E$49.EDA2.AD.DA2.ADE$20.A
.A27.E11.E$20.2A$21.A32.ED.DE$54.EA.AE$14.E5.E32.D2.A2.D$14.D2.A2.D
32.E5.E$15.EA.AE$15.ED.DE32.A$52.2A$11.E11.E27.A.A$10.EDA2.AD.DA2.ADE
$8.2E.D4.A.A4.D.2E21.2A$7.EA3.D9.D3.AE19.A.A$6.E.4AE3.DAD3.E4A.E16.E
3.A$9.A2.E9.E2.A18.E$5.A6.D2E5.2ED6.A13.E2A$4.A5.ED.A2.D.D2.A.DE5.A
12.E.2A$4.3A4.D.A7.A.D4.3A11.E2.A2.E$11.ED2E5.2EDE17.E2D.A2.2DE$2.A
13.D.D13.A9.A.D2ED2.D$2A15.E15.2A12.E2AE$.2A29.2A2.ED9.E2.E$38.2E2.A$
38.AD2.DA.D2.D2.D$37.A7.A6.E$38.AD2.DA.D2.D2.D$38.2E2.A$36.ED9.E2.E$
47.E2AE$42.A.D2ED2.D$41.E2D.A2.2DE$42.E2.A2.E$43.E.2A$43.E2A$44.E$45.
E3.A$47.A.A$48.2A2$51.A.A$52.2A$52.A!
Challenge: find a similar mechanism that reduces the repeat time by at least one generation (i.e. to the minimum)
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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Re: Extended Life Extensions

Post by AbhpzTa »

RT 14, state 0/1/4/5 only:

Code: Select all

x = 143, y = 203, rule = StateInvestigator
2.A11.EA38.EA38.EA38.EA$A.A11.DA38.DA38.DA38.DA$.2A8.2D3E35.2D3E35.2D
3E35.2D3E$5.A5.EA3.E25.A8.EA3.E34.EA3.E34.EA3.E$6.A3.ED28.A.A7.ED38.E
D38.ED$4.3A2.ED10.E19.2A6.ED10.E27.ED10.E27.ED10.E$9.D9.D.E23.A3.D9.D
.E27.D9.D.E22.3A2.D9.D.E$8.E37.A.E39.E37.A.E$9.D9.E24.3A2.D9.E29.D9.E
25.A3.D9.E$9.ED7.E30.ED7.E25.3A2.ED7.E22.2A6.ED7.E$10.ED38.ED34.A3.ED
28.A.A7.ED$11.ED38.ED32.A5.ED29.A8.ED$13.EDE37.EDE25.2A10.EDE37.EDE$
80.A.A$82.A33$54.E39.E33$3.A11.EA38.EA$.A.A11.DA38.DA$2.2A8.2D3E35.2D
3E$6.A5.EA3.E25.A8.EA3.E$7.A3.ED28.A.A7.ED$5.3A2.ED10.E19.2A6.ED10.E$
10.D9.D.E23.A3.D9.D.E$9.E37.A.E$6.E.2ED9.E24.3A2.D9.E$5.ED.D2ED7.E30.
ED7.E$4.ED3.D2ED38.ED$2.DED5.D2ED32.E.E3.ED$2.DA7.DE.EDE28.ED.DE4.EDE
$2.E9.E31.ED3.DE$EDE9.D29.DED5.DE$2AE9.E29.DA7.D$3.E38.E9.E$40.EDE9.D
$9.E30.2AE9.E$6.D.E34.E2$5.2E42.E$46.D.E2$45.2E14$27.E12$2.A11.EA38.E
A38.EA39.EA$A.A11.DA38.DA25.A12.DA26.A12.DA$.2A8.2D3E35.2D3E26.A8.2D
3E27.A8.2D3E$5.A5.EA3.E25.A8.EA3.E23.3A8.EA3.E24.3A8.EA3.E$6.A3.ED28.
A.A7.ED38.ED39.ED$4.3A2.ED10.E19.2A6.ED10.E23.A3.ED10.E24.A3.ED10.E$
9.D9.D.E23.A3.D9.D.E21.A.A2.ED9.D.E22.A.A2.ED9.D.E$8.E37.A.E35.2A39.
2A$5.E.2ED9.E24.3A2.D9.E28.ED9.E29.ED9.E$4.ED.D2ED7.E30.ED7.E28.3ED7.
E26.E4.ED7.E$3.ED3.D3ED37.ED33.ED.D3ED30.ED.DE3.ED$2.ED5.DEDEA31.E.E
3.ED31.ED3.D3EA28.ED3.DE3.ED$2.D7.3AED29.ED.DE4.EDE27.ED5.DEDED26.ED
5.DED3.EDE$.E9.3E29.ED3.DE33.D7.ADE27.D7.AD$.D9.EDE28.ED5.DED30.E9.E
27.E9.E$.E9.E2A28.D7.AD30.D9.EDE25.D9.EDE$10.E30.E9.E30.E9.E2A25.E9.E
2A$41.D9.EDE37.E37.E$4.E36.E9.E2A$5.E.D42.E34.E37.E$86.E.D35.E.D$7.2E
35.E$45.E.D40.2E36.2E2$47.2E26$13.EDE$2.A8.ED$A.A7.ED$.2A6.ED7.E$5.A
3.D9.E$6.A.E$4.3A2.D9.D.E$9.ED10.E$10.ED$5.E.E3.EA3.E$4.ED.DE2.AD3E$
3.ED3.DE.A.3A$2.ED5.DEA2.EA$2.D7.AD$.E9.E$.D9.EDE$.E9.E2A$10.E2$4.E$
5.E.D2$7.2E!
100009436650194649 = 94649 * 1056634900001
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yujh
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Re: Extended Life Extensions

Post by yujh »

AbhpzTa wrote: July 27th, 2020, 12:00 pm RT 14, state 0/1/4/5 only:

Code: Select all

snip
Neat!(I’ve just pointed out a smaller reflector with repeat time 14 in discord,(moosey’s post,but not minimized)which is not that useful)
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
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Re: Extended Life Extensions

Post by yujh »

P14 gun

Code: Select all

x = 72, y = 72, rule = StateInvestigator
31.2E$28.A$27.2A3.D.E$27.A.A5.E$33.3A$29.E2.A4.A$26.2AE9.E$26.EDE2.2A
5.D$28.EA8.E$28.D8.D$28.DED5.D3EDE$30.ED3.D2ED.2A$31.ED.D2EDA.3A$33.
3ED2A.3A.E$34.ED.2A.3A2.E$30.2A5.2A.3A$29.A.A2.ED.2A.3A2.D.E$31.A3.ED
2A8.E$36.EDA.A$26.3A8.E.A2.EA.A$28.A8.2D3E3.A$27.A12.D3.2A$23.2A15.E
2A5.A$22.A.A24.A$16.2E6.A22.3A2$14.E.D2.3A30.A11.EA$13.E7.A28.A.A11.D
A2.2A$19.A31.2A8.2D3E3.2A$12.5A2.E2.A32.A5.E.A2.E.A$10.E6A3.E.A33.A3.
ED$10.D6A.A.EDE31.3A2.ED3.A6.E$10.E8.AE38.D4.A.A2.D.E$6.EDE.ED7A.D37.
E8.A$5.A3.D2ED5ADED34.E.2ED7.A.E$10.D2ED3.DE35.ED.D2ED6.AE$3.EA6.D2ED
.DE35.ED3.D2ED$2.E.A7.D2E.E34.DED5AD2ED3.A$4.A8.E37.D.7ADE.EDE$E.D2.A
.A4.D38.EA8.E$E6.A3.DE2.3A31.EDE.A.6AD$10.DE3.A33.A.E3.6AE$3.A.E2.A.E
5.A32.A2.E2.5A$.2A3.3E2D8.2A31.A$2.2A2.AD11.A.A28.A7.E$6.AE11.A30.3A
2.D.E2$22.3A22.A6.2E$22.A24.A.A$23.A5.2AE15.2A$26.2A3.D12.A$26.A3.3E
2D8.A$26.A.AE2.A.E8.3A$31.A.ADE$24.E8.2ADE3.A$24.E.D2.3A.2A.DE2.A.A$
29.3A.2A5.2A$26.E2.3A.2A.DE$27.E.3A.2AD3E$29.3A.AD2ED.DE$30.2A.D2ED3.
DE$30.ED3ED5.DED$34.D8.D$33.E8.AE$33.D5.2A2.EDE$33.E9.E2A$34.A4.A2.E$
36.3A$36.E5.A.A$37.E.D3.2A$43.A$39.2E!
,for reference

Edit:b to G4

Code: Select all

x = 18, y = 19, rule = StateInvestigator
17.C$11.C6$15.C8$2A5.D$.2A$2A$A!
[code]
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
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Entity Valkyrie 2
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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

AbhpzTa wrote: July 27th, 2020, 12:00 pm RT 14, state 0/1/4/5 only:

Code: Select all

x = 143, y = 203, rule = StateInvestigator
2.A11.EA38.EA38.EA38.EA$A.A11.DA38.DA38.DA38.DA$.2A8.2D3E35.2D3E35.2D
3E35.2D3E$5.A5.EA3.E25.A8.EA3.E34.EA3.E34.EA3.E$6.A3.ED28.A.A7.ED38.E
D38.ED$4.3A2.ED10.E19.2A6.ED10.E27.ED10.E27.ED10.E$9.D9.D.E23.A3.D9.D
.E27.D9.D.E22.3A2.D9.D.E$8.E37.A.E39.E37.A.E$9.D9.E24.3A2.D9.E29.D9.E
25.A3.D9.E$9.ED7.E30.ED7.E25.3A2.ED7.E22.2A6.ED7.E$10.ED38.ED34.A3.ED
28.A.A7.ED$11.ED38.ED32.A5.ED29.A8.ED$13.EDE37.EDE25.2A10.EDE37.EDE$
80.A.A$82.A33$54.E39.E33$3.A11.EA38.EA$.A.A11.DA38.DA$2.2A8.2D3E35.2D
3E$6.A5.EA3.E25.A8.EA3.E$7.A3.ED28.A.A7.ED$5.3A2.ED10.E19.2A6.ED10.E$
10.D9.D.E23.A3.D9.D.E$9.E37.A.E$6.E.2ED9.E24.3A2.D9.E$5.ED.D2ED7.E30.
ED7.E$4.ED3.D2ED38.ED$2.DED5.D2ED32.E.E3.ED$2.DA7.DE.EDE28.ED.DE4.EDE
$2.E9.E31.ED3.DE$EDE9.D29.DED5.DE$2AE9.E29.DA7.D$3.E38.E9.E$40.EDE9.D
$9.E30.2AE9.E$6.D.E34.E2$5.2E42.E$46.D.E2$45.2E14$27.E12$2.A11.EA38.E
A38.EA39.EA$A.A11.DA38.DA25.A12.DA26.A12.DA$.2A8.2D3E35.2D3E26.A8.2D
3E27.A8.2D3E$5.A5.EA3.E25.A8.EA3.E23.3A8.EA3.E24.3A8.EA3.E$6.A3.ED28.
A.A7.ED38.ED39.ED$4.3A2.ED10.E19.2A6.ED10.E23.A3.ED10.E24.A3.ED10.E$
9.D9.D.E23.A3.D9.D.E21.A.A2.ED9.D.E22.A.A2.ED9.D.E$8.E37.A.E35.2A39.
2A$5.E.2ED9.E24.3A2.D9.E28.ED9.E29.ED9.E$4.ED.D2ED7.E30.ED7.E28.3ED7.
E26.E4.ED7.E$3.ED3.D3ED37.ED33.ED.D3ED30.ED.DE3.ED$2.ED5.DEDEA31.E.E
3.ED31.ED3.D3EA28.ED3.DE3.ED$2.D7.3AED29.ED.DE4.EDE27.ED5.DEDED26.ED
5.DED3.EDE$.E9.3E29.ED3.DE33.D7.ADE27.D7.AD$.D9.EDE28.ED5.DED30.E9.E
27.E9.E$.E9.E2A28.D7.AD30.D9.EDE25.D9.EDE$10.E30.E9.E30.E9.E2A25.E9.E
2A$41.D9.EDE37.E37.E$4.E36.E9.E2A$5.E.D42.E34.E37.E$86.E.D35.E.D$7.2E
35.E$45.E.D40.2E36.2E2$47.2E26$13.EDE$2.A8.ED$A.A7.ED$.2A6.ED7.E$5.A
3.D9.E$6.A.E$4.3A2.D9.D.E$9.ED10.E$10.ED$5.E.E3.EA3.E$4.ED.DE2.AD3E$
3.ED3.DE.A.3A$2.ED5.DEA2.EA$2.D7.AD$.E9.E$.D9.EDE$.E9.E2A$10.E2$4.E$
5.E.D2$7.2E!
Better: (only one state 1 cell)

Code: Select all

x = 21, y = 13, rule = StateInvestigator
14.DE$A.A11.D$.2A7.2D3E$.A8.EA3.E$4.A4.ED$5.2A.ED10.E$4.2A2.D9.D.E$7.
E$8.D9.E$8.ED7.E$9.ED$10.ED$12.EDE!
Bx222 IS MY WORST ENEMY.

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Entity Valkyrie 2
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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

yujh wrote: August 1st, 2020, 8:58 am P14 gun

Code: Select all

x = 72, y = 72, rule = StateInvestigator
31.2E$28.A$27.2A3.D.E$27.A.A5.E$33.3A$29.E2.A4.A$26.2AE9.E$26.EDE2.2A
5.D$28.EA8.E$28.D8.D$28.DED5.D3EDE$30.ED3.D2ED.2A$31.ED.D2EDA.3A$33.
3ED2A.3A.E$34.ED.2A.3A2.E$30.2A5.2A.3A$29.A.A2.ED.2A.3A2.D.E$31.A3.ED
2A8.E$36.EDA.A$26.3A8.E.A2.EA.A$28.A8.2D3E3.A$27.A12.D3.2A$23.2A15.E
2A5.A$22.A.A24.A$16.2E6.A22.3A2$14.E.D2.3A30.A11.EA$13.E7.A28.A.A11.D
A2.2A$19.A31.2A8.2D3E3.2A$12.5A2.E2.A32.A5.E.A2.E.A$10.E6A3.E.A33.A3.
ED$10.D6A.A.EDE31.3A2.ED3.A6.E$10.E8.AE38.D4.A.A2.D.E$6.EDE.ED7A.D37.
E8.A$5.A3.D2ED5ADED34.E.2ED7.A.E$10.D2ED3.DE35.ED.D2ED6.AE$3.EA6.D2ED
.DE35.ED3.D2ED$2.E.A7.D2E.E34.DED5AD2ED3.A$4.A8.E37.D.7ADE.EDE$E.D2.A
.A4.D38.EA8.E$E6.A3.DE2.3A31.EDE.A.6AD$10.DE3.A33.A.E3.6AE$3.A.E2.A.E
5.A32.A2.E2.5A$.2A3.3E2D8.2A31.A$2.2A2.AD11.A.A28.A7.E$6.AE11.A30.3A
2.D.E2$22.3A22.A6.2E$22.A24.A.A$23.A5.2AE15.2A$26.2A3.D12.A$26.A3.3E
2D8.A$26.A.AE2.A.E8.3A$31.A.ADE$24.E8.2ADE3.A$24.E.D2.3A.2A.DE2.A.A$
29.3A.2A5.2A$26.E2.3A.2A.DE$27.E.3A.2AD3E$29.3A.AD2ED.DE$30.2A.D2ED3.
DE$30.ED3ED5.DED$34.D8.D$33.E8.AE$33.D5.2A2.EDE$33.E9.E2A$34.A4.A2.E$
36.3A$36.E5.A.A$37.E.D3.2A$43.A$39.2E!
Smallest known p14 gun:

Code: Select all

x = 11, y = 7, rule = StateInvestigator
2.3E$E.2A$.4A3.E$2AI3A$E3A4.A$.E.IA4.2A$2.EAC3.2A!
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
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Hunting
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Re: Extended Life Extensions

Post by Hunting »

Entity Valkyrie 2 wrote: August 2nd, 2020, 4:55 am
AbhpzTa wrote: July 27th, 2020, 12:00 pm RT 14, state 0/1/4/5 only:

Code: Select all

x = 143, y = 203, rule = StateInvestigator
2.A11.EA38.EA38.EA38.EA$A.A11.DA38.DA38.DA38.DA$.2A8.2D3E35.2D3E35.2D
3E35.2D3E$5.A5.EA3.E25.A8.EA3.E34.EA3.E34.EA3.E$6.A3.ED28.A.A7.ED38.E
D38.ED$4.3A2.ED10.E19.2A6.ED10.E27.ED10.E27.ED10.E$9.D9.D.E23.A3.D9.D
.E27.D9.D.E22.3A2.D9.D.E$8.E37.A.E39.E37.A.E$9.D9.E24.3A2.D9.E29.D9.E
25.A3.D9.E$9.ED7.E30.ED7.E25.3A2.ED7.E22.2A6.ED7.E$10.ED38.ED34.A3.ED
28.A.A7.ED$11.ED38.ED32.A5.ED29.A8.ED$13.EDE37.EDE25.2A10.EDE37.EDE$
80.A.A$82.A33$54.E39.E33$3.A11.EA38.EA$.A.A11.DA38.DA$2.2A8.2D3E35.2D
3E$6.A5.EA3.E25.A8.EA3.E$7.A3.ED28.A.A7.ED$5.3A2.ED10.E19.2A6.ED10.E$
10.D9.D.E23.A3.D9.D.E$9.E37.A.E$6.E.2ED9.E24.3A2.D9.E$5.ED.D2ED7.E30.
ED7.E$4.ED3.D2ED38.ED$2.DED5.D2ED32.E.E3.ED$2.DA7.DE.EDE28.ED.DE4.EDE
$2.E9.E31.ED3.DE$EDE9.D29.DED5.DE$2AE9.E29.DA7.D$3.E38.E9.E$40.EDE9.D
$9.E30.2AE9.E$6.D.E34.E2$5.2E42.E$46.D.E2$45.2E14$27.E12$2.A11.EA38.E
A38.EA39.EA$A.A11.DA38.DA25.A12.DA26.A12.DA$.2A8.2D3E35.2D3E26.A8.2D
3E27.A8.2D3E$5.A5.EA3.E25.A8.EA3.E23.3A8.EA3.E24.3A8.EA3.E$6.A3.ED28.
A.A7.ED38.ED39.ED$4.3A2.ED10.E19.2A6.ED10.E23.A3.ED10.E24.A3.ED10.E$
9.D9.D.E23.A3.D9.D.E21.A.A2.ED9.D.E22.A.A2.ED9.D.E$8.E37.A.E35.2A39.
2A$5.E.2ED9.E24.3A2.D9.E28.ED9.E29.ED9.E$4.ED.D2ED7.E30.ED7.E28.3ED7.
E26.E4.ED7.E$3.ED3.D3ED37.ED33.ED.D3ED30.ED.DE3.ED$2.ED5.DEDEA31.E.E
3.ED31.ED3.D3EA28.ED3.DE3.ED$2.D7.3AED29.ED.DE4.EDE27.ED5.DEDED26.ED
5.DED3.EDE$.E9.3E29.ED3.DE33.D7.ADE27.D7.AD$.D9.EDE28.ED5.DED30.E9.E
27.E9.E$.E9.E2A28.D7.AD30.D9.EDE25.D9.EDE$10.E30.E9.E30.E9.E2A25.E9.E
2A$41.D9.EDE37.E37.E$4.E36.E9.E2A$5.E.D42.E34.E37.E$86.E.D35.E.D$7.2E
35.E$45.E.D40.2E36.2E2$47.2E26$13.EDE$2.A8.ED$A.A7.ED$.2A6.ED7.E$5.A
3.D9.E$6.A.E$4.3A2.D9.D.E$9.ED10.E$10.ED$5.E.E3.EA3.E$4.ED.DE2.AD3E$
3.ED3.DE.A.3A$2.ED5.DEA2.EA$2.D7.AD$.E9.E$.D9.EDE$.E9.E2A$10.E2$4.E$
5.E.D2$7.2E!
Better: (only one state 1 cell)

Code: Select all

x = 21, y = 13, rule = StateInvestigator
14.DE$A.A11.D$.2A7.2D3E$.A8.EA3.E$4.A4.ED$5.2A.ED10.E$4.2A2.D9.D.E$7.
E$8.D9.E$8.ED7.E$9.ED$10.ED$12.EDE!
Aren't state 1 cells encouraged since they are closer to Life?
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Entity Valkyrie 2
Posts: 2052
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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

Nope, state 1 cells are discouraged unless necessary. Example, avoid using state 1 if it can be replaced with a different state.
Bx222 IS MY WORST ENEMY.

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EvinZL
Posts: 1040
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Location: A tungsten pool travelling towards the sun
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Re: Extended Life Extensions

Post by EvinZL »

Snacker and tetradecathlon with accessible sparks:

Code: Select all

x = 30, y = 21, rule = StateInvestigator
12.A4.A$8.B.2A.4A.2A.B$12.A4.A12$5.2AE4.A4.A4.E2A$5.2A3.2A.4A.2A3.2A$
2A10.A4.A10.2A$2A26.2A$.D3.A18.A3.D$AD3.2A16.2A3.DA$2A26.2A!
Edit: New Fx59 conduit

Code: Select all

x = 25, y = 10, rule = StateInvestigator
4.E5.E2$C23.A$22.3A$22.A$A21.A$A.A$3A$2.A$16.E!
G to H

Code: Select all

x = 18, y = 31, rule = StateInvestigator
8.2A$8.A$6.3A13$16.A$15.A$15.3A$6.2A$6.2A2$D$D4$11.E$11.E2$5.E2.E$6.
2B!
faster

Code: Select all

x = 8, y = 18, rule = StateInvestigator
2.2A$3.A$3.3A5$6.A$5.A$5.3A4$6.E3$E2.2E$.2B!
better

Code: Select all

x = 29, y = 27, rule = SIHistory
$12.F$11.3G$11.FGF$10.2F3G5.G$10.5F4.G2F$10.6F2.F3G$10.6F.4F$10.5F.4F
$9.10F$10.8F$9.8F$9.7F$9.6F$9.7F$8.7FE$8.8F$8.9F$9.E2FE4F$10.2B2.2FE$
14.EB!

Code: Select all

x = 13, y = 19, rule = StateInvestigator
2.2A$3.A$3.3A5.A$10.A$10.3A9$6.E3$E2.E$.2B4.E$5.EB!
Even better

Code: Select all

x = 9, y = 18, rule = StateInvestigator
2.2A$3.A$3.3A4$7.A$6.A$6.3A5$6.E3$E2.E.E$.2B!
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Entity Valkyrie 2
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Joined: February 26th, 2019, 7:13 pm
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Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

These are the G-to-H with the lowest POSSIBLE repeat time, 49:
EDIT: a repeat time of 34 is now possible due to a new FNG eater.

Code: Select all

x = 227, y = 548, rule = StateInvestigator
215.A$215.A.A$93.A121.2A$91.A.A$92.2A8$18.E.E183.A$202.2A$104.A98.2A$
20.D84.2A$104.2A95.E$23.E178.D$19.E3.DE19.E69.DE19.E67.E.DE19.E$13.2A
6.CD2.DE85.CD2.DE85.CD2.DE$14.2A11.E90.E90.E$13.A9.E4.E85.E4.E85.E4.E
$24.E13.A66.E9.E13.A76.E13.A$25.E12.A77.E12.A77.E12.A$38.3A88.3A88.3A
$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E
85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E$.2A$A.A$2.A14$
216.A$93.A122.A.A$91.A.A122.2A$92.2A8$21.ED$205.A$22.E81.A98.2A$105.
2A4.C92.2A$21.D82.2A$110.ED3.C2$23.DE19.E69.DE19.E69.DE19.E$21.CD2.DE
82.E2.CD2.DE83.DECD2.DE$13.2A12.E90.E90.E$14.2A7.E4.E85.E4.E85.E4.E$
13.A10.E13.A76.E13.A76.E13.A$25.E12.A77.E12.A77.E12.A$38.3A88.3A88.3A
$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E
85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E2$.2A$A.A$2.A13$
93.A123.A$91.A.A123.A.A$92.2A123.2A10$104.A101.A$105.2A97.2A$104.2A
99.2A$21.E.B$21.D89.ED$22.2E89.E91.E$20.E2.DE19.E69.DE19.E69.DE19.E$
21.CD2.DE85.CD2.DE85.CD2.DE$27.E90.E90.E$13.2A8.E4.E85.E4.E85.E4.E$
14.2A8.E13.A76.E13.A76.E13.A$13.A11.E12.A77.E12.A77.E12.A$38.3A88.3A
88.3A$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED
3.E85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E3$.2A$A.A$2.A
11$93.A$91.A.A124.A$92.2A124.A.A$218.2A9$104.A$105.2A100.A$104.2A99.
2A$206.2A2$20.E182.E$205.EC$23.DE19.E69.DE19.E69.DE19.E$21.CD2.DE81.E
3.CD2.DE85.CD2.DE$27.E80.DE.C6.E90.E$23.E4.E85.E4.E85.E4.E$13.2A9.E
13.A76.E13.A76.E13.A$14.2A9.E12.A77.E12.A77.E12.A$13.A24.3A88.3A88.3A
$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E
85.ED3.E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E4$.2A$A.A$2.A9$
93.A$91.A.A$92.2A125.A$219.A.A$219.2A8$104.A$105.2A$104.2A102.A$206.
2A$207.2A$20.C$19.E.D$22.E181.E$23.DE19.E69.DE19.E69.DE19.E$21.CD2.DE
85.CD2.DE85.CD2.DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.
A76.E13.A$13.2A10.E12.A77.E12.A77.E12.A$14.2A22.3A88.3A88.3A$13.A10.E
15.A74.E15.A74.E15.A$24.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E85.ED3.
E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E5$.2A$A.A$2.A7$93.A$91.
A.A$92.2A$220.A$220.A.A$220.2A7$104.A$105.2A$104.2A$209.A$207.2A$208.
2A2$20.ED91.E90.C$19.D2.E91.E$23.DE19.E69.DE19.E69.D2E18.E$21.CD2.DE
85.CD2.DE85.CD2.DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.
A76.E13.A$25.E12.A77.E12.A77.E12.A$13.2A23.3A88.3A88.3A$14.2A8.E15.A
74.E15.A74.E15.A$13.A10.D11.E78.D11.E78.D11.E$23.ED3.E85.ED3.E85.ED3.
E$27.B90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E6$.2A$A.A$2.A5$93.A$91.
A.A$92.2A2$221.A$221.A.A$221.2A6$104.A$105.2A$104.2A2$210.A$208.2A$
209.2A2$205.E2$23.DE19.E66.E2.DE19.E69.D2EC17.E$21.CD2.DE85.CD2.DE85.
CD2.DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.A76.E13.A$
25.E12.A77.E12.A77.E12.A$20.E17.3A88.3A88.3A$13.2A9.E15.A74.E15.A74.E
15.A$14.2A.E6.D11.E78.D11.E78.D11.E$13.A9.ED3.E85.ED3.E85.ED3.E$27.B
90.B90.B$22.E90.E90.E$22.B2E88.B2E88.B2E7$.2A$A.A$2.A3$93.A$91.A.A$
92.2A3$222.A$222.A.A$222.2A5$104.A$105.2A$104.2A3$211.A$209.2A$210.2A
$205.C2$114.E$23.DE19.E67.E.DE19.E69.DE19.E$21.CD2.DE85.CD2.DE85.CD2.
DE$27.E90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.A76.E13.A$25.E
12.A77.E12.A77.E12.A$38.3A88.3A88.3A$24.E15.A74.E15.A74.E15.A$13.2A9.
D11.E78.D11.E78.D11.E$14.2A7.ED3.E85.ED3.E85.ED3.E$13.A13.B90.B90.B$
22.E90.E90.E$22.B2E88.B2E88.B2E8$.2A$A.A$2.A$93.A$91.A.A$92.2A4$223.A
$223.A.A$223.2A4$104.A$105.2A$104.2A4$212.A$210.2A$211.2A2$114.E$115.
C$23.DE19.E66.C2.DE19.E69.DE.E17.E$21.CD2.DE85.CD2.DE85.CD2.DE$27.E
90.E90.E$23.E4.E85.E4.E85.E4.E$24.E13.A76.E13.A76.E13.A$25.E12.A77.E
12.A77.E12.A$38.3A88.3A88.3A$24.E15.A74.E15.A74.E15.A$24.D11.E78.D11.
E78.D11.E$13.2A8.ED3.E85.ED3.E85.ED3.E$14.2A11.B90.B90.B$13.A8.E90.E
90.E$22.B2E88.B2E88.B2E9$.2A$A.A90.A$2.A88.A.A$92.2A10$104.A$105.2A$
104.2A10$114.E$23.DE19.E69.DE19.E$21.CD2.DE85.CD2.DE$27.E90.E$23.E4.E
85.E4.E$24.E13.A76.E13.A$25.E12.A77.E12.A$38.3A88.3A$24.E15.A74.E15.A
$24.D11.E78.D11.E$23.ED3.E85.ED3.E$13.2A12.B90.B$14.2A6.E90.E$13.A8.B
2E88.B2E9$93.A$.2A88.A.A$A.A89.2A$2.A9$104.A$105.2A$104.2A11$113.E$
23.DE19.E69.DE19.E$21.CD2.DE85.CD2.DE$21.E5.E90.E$23.E4.E85.E4.E$24.E
13.A76.E13.A$25.E12.A77.E12.A$38.3A88.3A$24.E15.A74.E15.A$24.D11.E78.
D11.E$23.ED3.E85.ED3.E$27.B90.B$13.2A7.E90.E$14.2A6.B2E88.B2E$13.A7$
93.A$91.A.A$92.2A$.2A$A.A$2.A7$104.A$105.2A$104.2A12$113.E3.C$114.DE
19.E$112.CD2.DE$118.E$114.E4.E$115.E13.A$116.E12.A$129.3A$115.E15.A$
115.D11.E$114.ED3.E$118.B$113.E$113.B2E!
This is because a single spark is enough to form a herschel:

Code: Select all

x = 24, y = 39, rule = StateInvestigator
2A2$2.DE19.E$CD2.DE$6.E$2.E4.E$3.E13.A$4.E12.A$17.3A$3.E15.A$3.D11.E$
2.ED3.E$6.B$.E$.B2E11$A$2.DE19.E$CD2.DE$6.E$2.E4.E$3.E13.A$4.E12.A$
17.3A$3.E15.A$3.D11.E$2.ED3.E$6.B$.E$.B2E!
Last edited by Entity Valkyrie 2 on September 25th, 2023, 1:36 am, edited 2 times in total.
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
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yujh
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Re: Extended Life Extensions

Post by yujh »

Bump.

Code: Select all

x = 93, y = 64, rule = B37e8S2acek34i6in78investigator
F29.G22.A37.AG$50.A40.2A$50.AG38.A$50.3A27$3A$3A$AFA$A.A27$A2.A$A$.F$
A.2A!

Code: Select all

x = 14, y = 17, rule = B37e8S2acek34i6in78investigator
.A$2.A$3A7$13.C7!
Single cell reflector!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
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Entity Valkyrie 2
Posts: 2052
Joined: February 26th, 2019, 7:13 pm
Contact:

Re: Extended Life Extensions

Post by Entity Valkyrie 2 »

EvinZL wrote: August 5th, 2020, 3:29 pm Snacker and tetradecathlon with accessible sparks:

Code: Select all

x = 30, y = 21, rule = StateInvestigator
12.A4.A$8.B.2A.4A.2A.B$12.A4.A12$5.2AE4.A4.A4.E2A$5.2A3.2A.4A.2A3.2A$
2A10.A4.A10.2A$2A26.2A$.D3.A18.A3.D$AD3.2A16.2A3.DA$2A26.2A!
Even better:

Code: Select all

x = 20, y = 18, rule = StateInvestigator
5.E8.E$7.A4.A$4.E2A.4A.2AE$7.A4.A$5.E8.E11$.DE4.A4.A4.ED$EDA2.2A.4A.
2A2.ADE$.DE4.A4.A4.ED!
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
Please click here for my own pages (and oscillator stamp collections)
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