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d/dx
Posts: 705 Joined: March 22nd, 2024, 2:41 pmLocation: in your walls
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by d/dx May 14th, 2024, 12:13 pm
This one goes out to you, Entity Valkyrie!
Recently I've been experimenting with SI patterns, and found some oscillators of low cell count and semi-high period.
Some of them are here:
Code:
Select all
x = 68, y = 20, rule = StateInvestigator
3.C.3C7.C.3C8.3C.3C6.3C.3C6.C.C.3C$3.C3.C7.C.C.C10.C3.C8.C.C.C6.C.C.C
$3.C3.C7.C.3C8.3C3.C6.3C.3C6.3C.3C$3.C3.C7.C3.C8.C5.C8.C.C.C8.C.C.C$
3.C3.C7.C.3C8.3C3.C6.3C.3C8.C.3C5$4.B.D16.B6.B12.2E$6.B.B21.A8.C2.D.A
D13.B.B$8.C9.B3.B7.Q.Q11.KA14.K.B$7.B7.B4.A10.Q14.B13.B$20.B.B18.C2.
2E12.B$17.B$20.B3$20.2B!
If you find any more SI SKOPs then post them here.
d/dx
Posts: 705 Joined: March 22nd, 2024, 2:41 pmLocation: in your walls
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by d/dx May 14th, 2024, 12:22 pm
p8
Code:
Select all
x = 3, y = 3, rule = StateInvestigator
.JK2$2J!
d/dx
Posts: 705 Joined: March 22nd, 2024, 2:41 pmLocation: in your walls
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by d/dx May 14th, 2024, 1:21 pm
perhaps the simplest SKOP, p88:
Code:
Select all
x = 1, y = 1, rule = StateInvestigator
I!
and another simple SKOP, p871:
Code:
Select all
x = 1, y = 1, rule = StateInvestigator
H!
d/dx
Posts: 705 Joined: March 22nd, 2024, 2:41 pmLocation: in your walls
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by d/dx May 14th, 2024, 1:27 pm
p22 and p53:
Code:
Select all
x = 26, y = 12, rule = StateInvestigator
2$3.3E12.E.E4$9.E14.E$4.H4.E9.H$9.E14.E!
squareroot12621
Posts: 706 Joined: March 23rd, 2022, 4:53 pm
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by squareroot12621 May 14th, 2024, 4:59 pm
More periods (including a better p22):
Code: Select all
x = 30, y = 14, rule = B3/S23Investigator
3E.3E10.3E7.3E$2.E3.E10.E11.E$3E.3E10.3E7.3E$E3.E12.E.E7.E$3E.3E10.3E
7.3E8$3.H14.H9.F$4.C13.C!
Entity Valkyrie 2
Posts: 2107 Joined: February 26th, 2019, 7:13 pm
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by Entity Valkyrie 2 May 19th, 2024, 9:52 am
Note that any oscillators with 13 or more cells can't be a SKOP, since:
Entity Valkyrie 2 wrote: October 11th, 2023, 10:27 pm
Here, I have shown that
there exists an oscillator with 12 or fewer cells for any period :
Code: Select all
x = 153, y = 366, rule = StateInvestigator
5.3E17.2E18.3E17.3E17.E.E17.3E17.3E17.3E$5.E.E18.E20.E19.E17.E.E17.E
19.E21.E$5.E.E18.E18.3E17.3E17.3E17.3E17.3E19.E$5.E.E18.E18.E21.E19.E
19.E17.E.E19.E$5.3E17.3E17.3E17.3E19.E17.3E17.3E19.E2$5E.3E.2E8.5E.3E
.2E8.5E.3E.2E8.5E.3E.2E8.5E.3E.2E8.5E.3E.2E8.5E.3E.2E8.5E.3E.2E$E.E.E
.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E
7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E$E.E.E.E.E.E.E7.E.E.E.E.
E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.
E.E.E.E.E.E7.E.E.E.E.E.E.E$E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.
E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.E.E.E.E7.E.E.E.
E.E.E.E$E.E.E.3E.2E8.E.E.E.3E.2E8.E.E.E.3E.2E8.E.E.E.3E.2E8.E.E.E.3E.
2E8.E.E.E.3E.2E8.E.E.E.3E.2E8.E.E.E.3E.2E2$5.3E17.3E17.3E17.3E17.3E
17.3E17.3E17.3E$5.E.E17.E.E17.E.E17.E.E17.E.E17.E.E17.E.E17.E.E$5.3E
17.3E17.3E17.3E17.3E17.3E17.3E17.3E$5.E.E17.E.E17.E.E17.E.E17.E.E17.E
.E17.E.E17.E.E$5.3E17.3E17.3E17.3E17.3E17.3E17.3E17.3E8$25.2R18.3R17.
3R17.R.R17.3R17.3R17.3R$26.R20.R19.R17.R.R17.R19.R21.R$26.R18.3R17.3R
17.3R17.3R17.3R19.R$26.R18.R21.R19.R19.R17.R.R19.R$25.3R17.3R17.3R19.
R17.3R17.3R19.R5$26.B19.F19.B19.B18.2B18.3B17.DA$65.B19.B59.D$67.B19.
F16.B3.B39.B13$5.3R17.3R15.2R2.3R13.2R2.2R14.2R2.3R13.2R2.3R13.2P2.P.
P13.2R2.3R$5.R.R17.R.R16.R2.R.R14.R3.R15.R4.R14.R4.R14.P2.P.P14.R2.R$
5.3R17.3R16.R2.R.R14.R3.R15.R2.3R14.R2.3R14.P2.3P14.R2.3R$5.R.R19.R
16.R2.R.R14.R3.R15.R2.R16.R4.R14.P4.P14.R4.R$5.3R17.3R15.3R.3R13.3R.
3R13.3R.3R13.3R.3R13.3P3.P13.3R.3R5$5.S.S17.B18.BA18.B.B18.B.D18.2B
15.DC$26.B18.B59.B20.A.E17.2B$5.S22.B18.B17.B2.B16.B18.B22.2A15.B2.B$
27.B97.E2A$129.CD11$3.2R2.3R13.2R2.3R13.2P2.3P13.2R2.3R13.3R.3R13.3R.
2R14.3P.3P13.3R.3R$4.R2.R16.R4.R14.P2.P.P14.R2.R.R15.R.R.R15.R2.R16.P
3.P15.R3.R$4.R2.3R14.R4.R14.P2.3P14.R2.3R13.3R.R.R13.3R2.R14.3P.3P13.
3R.3R$4.R2.R.R14.R4.R14.P2.P.P14.R4.R13.R3.R.R13.R4.R14.P3.P15.R5.R$
3.3R.3R13.3R3.R13.3P.3P13.3R.3R13.3R.3R13.3R.3R13.3P.3P13.3R.3R5$6.B
17.2B17.DC20.2B.B17.2B17.2A.B14.DC19.B.A$4.B2.B78.B19.D39.B$7.B17.B
20.A.A15.B19.B18.C23.A.E18.B$27.B17.E.2A76.E2.2A15.B$46.EA79.2A$49.C
80.CD$49.D9$3.3R.R.R13.3R.3R13.3P.3P13.3R.3R13.3R.3R13.3R.3R13.3P.3P
13.3P.2P$5.R.R.R15.R.R17.P.P17.R3.R15.R.R.R15.R.R.R15.P.P.P15.P2.P$3.
3R.3R13.3R.3R13.3P.3P13.3R3.R13.3R.3R13.3R.3R13.3P.P.P13.3P2.P$3.R5.R
13.R5.R13.P3.P.P13.R5.R13.R3.R.R13.R5.R15.P.P.P15.P2.P$3.3R3.R13.3R.
3R13.3P.3P13.3R3.R13.3R.3R13.3R.3R13.3P.3P13.3P.3P5$5.AD17.B.2B15.DC
21.B16.BA20.2C15.DC18.2Q$26.AB37.B2A16.B.B55.E$6.B61.B19.B14.2AD$4.B
2.D37.E.A.A14.B39.A19.E2.A.E17.E$48.2A78.2A18.2EB$47.EA78.2A17.A3.B$
50.C79.CD15.2A$50.D96.A4$126.P2$126.P2$3.3R.3R13.3R.3R13.3P.P.P13.3R.
3R13.3R.3R13.3R.3R16.P16.3P.3P$5.R3.R15.R3.R15.P.P.P15.R.R17.R.R17.R
3.R35.P.P.P$3.3R.3R13.3R.3R13.3P.3P13.3R.3R13.3R.3R13.3R3.R33.3P.3P$
5.R.R17.R3.R15.P3.P15.R3.R15.R.R.R15.R3.R35.P3.P$3.3R.3R13.3R.3R13.3P
3.P13.3R.3R13.3R.3R13.3R3.R33.3P.3P5$2.B21.B.B15.DC20.B18.B20.B.2B34.
2Q$3.A60.B20.B2.A17.2B34.E$5.M3.A16.B39.B20.2B18.A$4.A4.A18.B15.E23.B
37.B40.E$6.2A39.A.A$48.2A99.2EB$47.EA98.A3.B$50.C97.2A$50.D97.A5$46.P
2$3.R.R.3R13.R.R.2R17.P16.R.R.3R13.R.R.R.R13.R.R.3R33.P.P.3P$3.R.R.R.
R13.R.R2.R34.R.R3.R13.R.R.R.R13.R.R.R35.P.P3.P$3.3R.R.R13.3R2.R17.P
16.3R.3R13.3R.3R13.3R.3R33.3P3.P$5.R.R.R15.R2.R36.R3.R15.R3.R15.R3.R
35.P3.P$5.R.3R15.R.3R35.R.3R15.R3.R15.R.3R35.P3.P5$6.A.A14.B40.2B18.A
B17.B5.B31.2Q$4.T2.M59.B17.B55.E$4.A3.A14.B.B39.A.B18.2B15.B.B.B.B$5.
A82.B57.E$26.B79.B$28.B77.A$149.2EB$28.B.B116.A3.B$148.2A$148.A5$146.
P$3.R.R.3R13.R.R.3R33.3R.2R14.3R.3R13.3R.3R$3.R.R.R.R13.R.R.R.R33.R4.
R14.R5.R13.R5.R36.P$3.3R.3R13.3R.3R33.3R2.R14.3R.3R13.3R.3R$5.R.R.R
15.R3.R35.R2.R16.R.R17.R3.R36.P$5.R.3R15.R.3R33.3R.3R13.3R.3R13.3R.3R
5$23.B60.2B18.B.B.A$2D3.A2.H2.A19.B52.A2.B20.B$A4.A2.H2.A9.B41.Q4.Q
35.B$22.B43.Q21.B19.B$2.B18.B44.Q37.AB.B$31.B31.Q4.Q$23.B9$3.3P.3P13.
3R.3R33.3P.3P13.3R.3R13.3R.2R$3.P3.P15.R5.R33.P3.P.P13.R3.R.R13.R4.R$
3.3P.3P13.3R3.R33.3P.3P13.3R.R.R13.3R2.R$5.P.P.P15.R3.R35.P3.P13.R.R.
R.R13.R.R2.R$3.3P.3P13.3R3.R33.3P.3P13.3R.3R13.3R.3R5$6.E16.B37.C21.
2B19.2Q.Q$7.E55.A19.B2.2B16.2Q$9.2EB14.R35.2A$7.A3.B12.A3.A32.R2.A19.
B19.Q$2.CD4.2A16.I41.2EB13.B$8.A15.A4.R40.B$26.A2$61.C2.R7$3.3P.P.P
13.3R.3R33.3P.3P13.3R.3R13.3R.3R$3.P3.P.P13.R3.R35.P5.P13.R3.R.R13.R
3.R.R$3.3P.3P13.3R.3R33.3P3.P13.3R.3R13.3R.3R$3.P.P3.P13.R.R3.R33.P.P
3.P13.R.R.R.R13.R.R3.R$3.3P3.P13.3R.3R33.3P3.P13.3R.3R13.3R.3R5$5.E
23.E31.C24.B18.3B$6.E14.E7.DE32.A20.B2.A2B13.B5.B$28.A33.2A38.B7.B$9.
2EB17.AE30.R2.A$.CD4.A3.B17.AD$8.2A20.E38.2EB11.B$8.A62.B2$61.C2.R7$
3.3P.3P13.3R.3R33.3P.3P13.3P.3P13.3R.3R$5.P3.P15.R3.R35.P.P17.P.P17.R
3.R$5.P.3P15.R.3R35.P.3P15.P.3P15.R3.R$5.P.P17.R3.R35.P3.P15.P.P.P15.
R3.R$5.P.3P15.R.3R35.P.3P15.P.3P15.R3.R5$4.E55.C19.R7.E15.B5.E$5.E56.
A17.A20.A6.B.A$24.D36.2A16.2A9.E10.DA4.B.D$25.AD.D31.R2.A17.A11.C15.A
$CD7.2EB12.D2.A81.2A$7.A3.B12.A2.D$8.2A13.D.DA42.2EB8.C$8.A18.D43.B
11.E$60.C2.R$85.E7.R5$6.P59.P$23.3R.2R54.3P.P.P13.3P.3P$6.P16.R.R2.R
37.P16.P.P.P.P13.P.P.P$23.3R2.R54.3P.3P13.3P.3P$6.P16.R.R2.R37.P16.P.
P3.P13.P.P3.P$23.3R.3R53.3P3.P13.3P.3P5$24.B54.R7.E16.R$21.AB56.A21.C
.A4.C$21.B56.2A9.E12.2A$80.A19.B3.A$22.AB69.C$111.E$79.C$103.R$28.2BE
52.E$27.E81.R$85.E7.R9.C5$23.3P.3P53.3P.3P13.3P.3P$23.P.P.P.P53.P.P3.
P13.P.P3.P$23.3P.3P53.3P.3P13.3P.3P$23.P.P3.P55.P.P17.P3.P$23.3P.3P
53.3P.3P13.3P.3P5$23.R55.R7.E16.R$20.C.A4.C51.A21.C.A4.C$21.2A55.2A9.
E12.2A$19.B3.A56.A19.B3.A2$94.C$79.C32.E$22.R$104.R$26.E2.R2.C51.E$
110.R$86.E7.R9.C4$23.3P.3P71.2P2.3P.2P$23.P.P3.P56.P15.P2.P.P2.P$23.
3P3.P72.P2.P.P2.P$25.P3.P56.P15.P2.P.P2.P$23.3P3.P71.3P.3P.3P$86.P4$
23.R79.R$20.C.A4.C72.C.A4.C$21.2A78.2A$19.B3.A75.B3.A4$112.E$23.R$
104.R$27.E2.R2.C$110.R$104.C3$21.2P2.3P.3P$22.P2.P.P.P$22.P2.P.P.3P
74.P$22.P2.P.P3.P$21.3P.3P.3P74.P2$106.P3$22.R$19.C.A4.C$20.2A$18.B3.
A6$23.R2$27.E2.R2.C5$26.P2$26.P2$26.P!
This means that FWKnightship's StateInvestigator SKOP collection is outdated.
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)
