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GluonGuns

Posted: October 1st, 2020, 2:58 am

by Yoel

Another 3-color rule with speed of light ships (gluons), which has an extremely common natural p11 gun made of just 3 cells and natural oscillators of various periods that happen to be failed guns or guns with eaters. Most patterns die with still lifes, gluons and guns, quadratic growth is relatively rare, so the rule is (meta)stable. T2b-0n2n111a4n in my cyclical rule notation.

1. A cell is born, if surrounded by 2 cells of the same color. The newborn cell takes the next color in the cycle: two red cells give birth to a green cell, 2 green to blue, 2 blue to red.

2. A cell survives, if it stands alone, surrounded by 2 cells of any color, 3 cells of all 3 different colors or 4 cells of any color.

Basic natural p11 gun:

Code: Select all

x = 3, y = 4, rule = GluonGuns
$.BC$2.C!

P9:

Code: Select all

x = 10, y = 13, rule = GluonGuns
2$.C4.C$CB.2A.BC$3.2C$.AC2.CA$.AC2.CA$3.2C$CB.2A.BC$.C4.C!

P10:

Code: Select all

x = 3, y = 10, rule = GluonGuns
$2.B$.2C5$.2C$.B!

An unusual puffer/rake:

Code: Select all

x = 3, y = 13, rule = GluonGuns
2.B$.2C10$.2C$.B!

Re: GluonGuns

Posted: November 29th, 2020, 4:48 am

by Yoel

This rule is extremely rich in still lifes and oscillators (mostly based on ubiquitous reactions that produce natural guns). All periods from 2 to 24, except 19, non-trivial 21 and 23, have been found by Apgsearch. Oscillators and guns for all periods >=17 (edited) can be constructed by stretching a universal reflector/splitter loop.

(See below my edit, showing much better optimal constructions)

My original reflector guns:

P25, P26:

Code: Select all

x = 169, y = 319, rule = GluonGuns
14$120.C$120.BC5$38.BC4.AC2.AB.A$39.C.BC.A4.B64.CAB9.B$42.C72.A9.2C2$
46.BA23.A24.CB22.A4.B$32.C11.B24.A24.C24.B4.2C$31.CB11.B24.A24.C24.B$
46.B24.AC23.C23.A4.2A$126.C$135.C$38.B82.A2.A10.BC$38.2AB82.2C.A$38.C
9.A73.A2.2B$42.A.A$47.2B67.C9.A$23.BC4.AC2.AB.A5.2A4.A67.2A2.2C$24.C.
BC.A4.B81.B12.CAB9.B$27.C4.AC85.C2.C7.A9.2C$33.C14.C81.B$34.A4.C2.B4.
2A91.B$17.C14.A4.C6.B64.CB8.B2.B3.A.A10.2C$16.CB8.A2.A7.C6.B.2C62.C
15.A$27.2B10.C2.B4.B72.2B6.A6.2B3.2A$141.C$37.A9.2C71.C13.B2.B$23.B
12.CAB9.B68.C.BC.A4.B9.A$23.2A91.BC4.AC2.AB.A11.A$23.C116.2B2$141.A2$
42.BC$42.C12$26.B$26.C2.C2$27.2C106.2A2$134.A2.A$134.C19$29.C$26.A2.A
2$27.2A106.2C2$134.C2.C$137.B12$121.C$120.CB2$22.A2$22.2B116.C$22.A
11.A.BA2.CA4.CB91.2A$26.A9.B4.A.CB.C68.B9.BAC12.B$26.B2.B13.C71.2C9.A
$22.C$22.2A3.2B6.A6.2B72.B4.B2.C10.2B$37.A15.C62.2C.B6.C7.A2.A$23.2C
10.A.A3.B2.B8.BC64.B6.C4.A$23.B91.2A4.B2.C4.A$33.B81.C14.C$22.2C9.A7.
C2.C85.CA4.C$22.B9.BAC12.B81.B4.A.CB.C$42.2C2.2A67.A4.2A5.A.BA2.CA4.C
B$37.A9.C67.2B$119.A.A$37.2B2.A73.A9.C$37.A.2C82.B2A$27.CB10.A2.A82.B
$28.C$37.C$37.2A4.A23.C23.CA24.B$44.B24.C24.A24.B11.BC$38.2C4.B24.C
24.A24.B11.C$38.B4.A22.BC24.A23.AB2$37.2C9.A72.C$37.B9.BAC64.B4.A.CB.
C$112.A.BA2.CA4.CB5$42.CB$43.C43$110.C$110.BC5$40.BC4.AC2.AB.A$41.C.B
C.A4.B52.CAB9.B$44.C60.A9.2C2$50.CB24.AC24.B12.B$34.C13.C25.A25.B2.A
10.2C$33.CB13.C25.A25.B2.2B$50.C25.A25.BA6.2B3.2A$116.C$109.B2.B12.C$
40.B2.C68.A12.BC$40.2AB3.B69.A$40.C5.C3.A64.2B2$44.2C3.2B55.C9.A$25.B
C4.AC2.AB.A11.A55.2A$26.C.BC.A4.B69.B12.CAB3.2B4.B$29.C4.AC84.A9.2C$
50.C73.B3.B$41.C2.B4.2A60.BA15.A.B$19.C14.AB3.C6.B52.CB8.B17.B.2C$18.
CB19.C6.B.2C50.C8.B$29.2B10.C2.B4.B61.B18.2A$29.2C100.C$39.A9.2C59.C$
25.B12.CAB9.B56.C.BC.A4.B$25.2A79.BC4.AC2.AB.A11.A$25.C104.2B2$131.A
2$44.BC$44.C$111.C$110.CB2$24.A2$24.2B104.C$24.A11.A.BA2.CA4.CB79.2A$
38.B4.A.CB.C56.B9.BAC12.B$45.C59.2C9.A$24.C100.2C$24.2A18.B61.B4.B2.C
10.2B$46.B8.C50.2C.B6.C19.BC$25.2C.B17.B8.BC52.B6.C3.BA14.C$25.B.A15.
AB60.2A4.B2.C$27.B3.B73.C$24.2C9.A84.CA4.C$24.B4.2B3.BAC12.B69.B4.A.C
B.C$48.2A55.A11.A.BA2.CA4.CB$39.A9.C55.2B3.2C2$39.2B64.A3.C5.C$39.A
69.B3.B2A$29.CB12.A68.C2.B$30.C12.B2.B$39.C$39.2A3.2B6.AB25.A25.C$51.
2B2.B25.A25.C$40.2C10.A2.B25.A25.C$40.B12.B24.CA24.BC2$39.2C9.A60.C$
39.B9.BAC52.B4.A.CB.C$102.A.BA2.CA4.CB5$44.CB$45.C!

Additionally, guns (some are natural or semi-natural) and known to exist for periods 9,11,12 (edited, see below),15,18,22:

Code: Select all

x = 73, y = 121, rule = GluonGuns
6$19.B$18.2C$9.A7.A2.A$16.A.2A.A$16.A.2A.A$9.A7.A2.A$18.2C$18.B8$16.B
2$15.C$16.BC$15.C.BCA$12.AB2CB4.A$13.B2CB4.A$15.C.BCA$16.BC$15.C2$16.
B8$16.B$13.BA$13.A$14.C$14.C$13.A$13.BA$16.B12$28.BAC$16.B12.A$13.BA$
13.A$14.C$14.C$13.A$13.BA$16.B10$25.A$24.BA.CB.AC$12.B14.C2.A$17.B$
17.BA3.C$12.B.CB2.AC4.C$18.2A4.C$15.A2.C$14.CA.BC.AB$20.A14$10.B20.CB
$19.BAC6.AB.C2.CB$20.A8.B3.AC2$16.AB10.A$6.ABC10.B10.A$7.BC10.B10.A$
16.AB9.CA2$31.CA$30.BC$10.B!

Transitions between the 3 most common gluon types are easy to control (and also to double gun periods by a binary counter):

Code: Select all

x = 332, y = 45, rule = GluonGuns
8$180.AC.BA19.CB16.CB16.CB16.CB$21.BAC5.BCA.BA16.BCA60.BCA25.A.BA31.A
B.A2.B11.BCA3.AB.C2.CB10.AB.C2.CB10.AB.C2.CB10.AB.C2.CB$9.B12.A7.C2.B
18.C62.C28.B33.B17.C5.B3.AC12.B3.AC12.B3.AC12.B3.AC$6.BA213.CA$6.A7.C
6.CA5.BC14.C28.BC28.BC29.C28.BC29.C28.B95.B$7.C2A6.C5.AC7.C14.C29.C
29.C29.C29.C29.C25.C3.C$7.C2A6.C5.A7.B15.C29.C24.B4.C29.C29.C29.C29.C
$6.A7.C6.C7.C.C3.A8.C29.C29.C28.BC29.C29.C11.C17.C17.C17.C58.B$6.BA
24.B.C$9.B21.A3.B43.C2.A121.CA16.CA16.CA16.CA29.C2.A$30.CAB.ABC37.A.B
A.CB.AC119.BC16.BC16.BC16.BC25.A.BA.CB.AC$73.CA2.A205.CA2.A!

Some ships:

Code: Select all

x = 25, y = 79, rule = GluonGuns
6$15.C$16.C$15.BC4$13.ABC$16.C$15.BC4$14.C$16.C$16.C$14.C5$14.C$16.C$
16.C$13.BC5$12.BC$14.C$16.C$16.C$14.C$12.BC6$13.BC$16.C$16.C$14.C$12.
BC5$5.ABCABCABC$14.C$16.C$16.C$14.C$5.ABCABCABC6$13.BC$16.C$11.B4.C$
14.C!

Wickstretchers:

Code: Select all

x = 12, y = 28, rule = GluonGuns
2$5.B$5.2CA$5.A2.A$10.A$10.A$5.B2.A$5.2CA$5.A10$8.A$10.A$10.A$5.A2.A$
5.2CA$5.B!

A couple of natural puffers (there are very many):

Code: Select all

x = 28, y = 69, rule = GluonGuns
6$17.B$19.B$11.A7.B$9.B7.B$12.C2.AB$7.BCBC2.A$8.C.C9$10.AB2.B.AB$10.B
5.B2.B$19.B$13.C.C.B$13.C.C.B$19.B$10.B5.B2.B$10.AB2.B.AB10$16.AB$19.
B$19.B$17.B$14.B.2B$17.B$19.B$19.B$16.AB10$16.AB$19.B$19.B$14.A2.B$
13.CA2$16.B.B$18.B$16.B!

A few natural rakes:

Code: Select all

x = 34, y = 65, rule = GluonGuns
4$18.AB$4.CB3.B2.BA7.B$4.C2.B4.B4.B3.B2.C$7.B10.AB5.C$9.BA5.C2.B3.ABC
$17.BA3.B$19.A3.B$16.2C5.B$16.A.AC12$23.B$25.B$25.B$10.B.BA2.C4.C$15.
B.C2.BC2.A$15.B.C2.BC2.A$10.B.BA2.C4.C$25.B$25.B$23.B14$22.AB$25.B$
25.B$23.B$18.C$16.C7.C$16.C7.C$18.C.C$22.AB$25.B$25.B$23.B!

A simple AND-NOT gate (XOR and any other logic circuits could be in principle constructed from properly synchronized guns, splitters/reflectors, AND-NOT gates and delay logistics):

Code: Select all

x = 196, y = 147, rule = GluonGuns
8$96.B2.B42$49.AC20.AC.BA$26.BAC5.BCA.BA6.BC.A18.AB.A2.B$14.B12.A7.C
2.B8.C21.B$11.BA25.2C30.C$11.A6.A6.C13.BC29.C58.BC46.B$12.C7.A6.C9.C.
C2.C29.C59.C$12.C7.A6.C11.B2.C29.C59.C$11.A6.A6.C14.C5.A22.BC58.BC46.
B$11.BA$14.B21.A3.B9.A4.C41.2C$35.CAB.ABC4.A3.CA2.BCA$45.CAB48.C2.C$
96.B2.B27$97.2C2$96.C2.C$96.B2.B4$102.C$97.A3.2B$93.A5.A2.A$93.2B4.A$
97.A4.B$93.A7.2A$93.2C7.C$93.B$97.2C2$96.C2.C$99.B$98.B$93.C$93.2A$
93.B3.2A2$96.A2.A6$97.2C2$96.C2.C$97.2C$94.B2.2C2.B2$95.A.2C.A$95.BA
2.AB!

EDIT:

Natural p12 gun:

Code: Select all

x = 10, y = 18, rule = GluonGuns
2$7.A4$3.BC$2.ABC6$5.C!

Optimal splitters/reflectors and the missing p19, p21, p23:

Code: Select all

x = 238, y = 399, rule = GluonGuns
23$122.B$121.BC2$56.BA65.2A$53.AC.B60.CBA$54.A63.B3.A2.A$122.C$49.AC
17.CB17.B18.AC15.C$47.A4.C.A11.C18.B18.A18.C4.B$52.2B12.C18.B18.A19.B
2.BA$45.AB2.A.B.2C13.C18.BA17.A16.C$46.A81.2C$129.B$49.C$49.2A$49.B$
40.CB77.A15.A$37.BA.C78.2C13.AB$38.B20.C59.B17.A$58.2A$34.A95.BAC2.A
2.A$32.A5.B12.CB4.CB72.A6.C$32.A3.2C.C11.C6.C57.A6.2C10.B$29.BC3.AC
17.AB60.AB2.C4.B11.BC$30.B24.C62.A3.A12.CB4.A$46.C70.CA3.B12.C.A2.AC$
33.A11.ACB4.C65.A2.C$33.2B18.3A85.2B$33.C20.C69.C17.A$51.AB70.CB.A$
52.A73.AC7$136.2C$36.C$36.A2.A95.C2.C$138.B$37.2A15$136.2B$39.A$36.B
2.B95.B2.B$135.A$37.2B15$136.2A$36.B$36.C2.C95.A2.A$138.C$37.2C7$47.C
A73.A$48.A.BC70.BA$32.A17.C69.C20.C$32.2B85.3A18.2B$53.C2.A65.C4.BCA
11.A$33.CA2.A.C12.B3.AC70.C$33.A4.BC12.A3.A62.C96.B$37.CB11.B4.C2.BA
60.BA17.CA18.B17.BC18.A18.CB$39.B10.2C6.A57.C6.C11.C.2C3.A18.B18.C18.
A$36.C6.A72.BC4.BC12.B5.A18.B18.C18.A$36.A2.A2.CAB95.A17.AB18.C17.CA$
115.2A$37.A17.B59.C20.B$39.BA13.2C78.C.AB$39.A15.A77.BC$125.B$124.2A$
125.C$45.B$45.2C81.A$51.C16.A17.AB18.C13.2C.B.A2.BA$46.AB2.B19.A18.B
18.C12.2B$46.B4.C18.A18.B18.C11.A.C4.A$51.C15.CA18.B17.BC17.CA$52.C$
49.A2.A3.B63.A$55.ABC60.B.CA$50.2A65.AB2$52.CB$52.B42$97.B$96.BC2$79.
BA$76.AC.B12.CBA$77.A.C13.B$77.2B$77.2C20.A$73.A.A18.A.B.B4.B$73.A20.
A.BA4.BA$68.AB5.A$69.A33.2C$104.B$72.C$72.2A$72.B$63.CB29.A15.A$60.BA
.C30.2C13.AB$61.B20.C11.B17.A$81.2A$56.BA40.2B5.BAC2.A2.A$54.B4.A.B
13.B.C2.CB24.A6.C$59.2C14.BA4.C9.A6.2C10.B$52.BC2.B.C.2A14.AB12.AB7.B
11.BC$53.B21.A22.C11.CB4.A$69.C8.B18.B12.C.A2.AC$56.A11.ACB4.C2.C$56.
2B58.2B$56.C20.C21.C17.A$74.AB22.CB.A$75.A25.AC2$70.CA25.A$71.A.BC22.
BA$55.A17.C21.C20.C$55.2B58.2B$94.C2.C4.BCA11.A$56.CA2.A.C12.B18.B8.C
$56.A4.BC11.C22.A81.B$60.CB11.B7.BA12.BA14.2A.C.B19.AB20.B20.CB$62.B
10.2C6.A9.C4.AB14.2C4.B20.B20.B$59.C6.A24.BC2.C.B13.B.A4.B20.B20.B$
59.A2.A2.CAB5.2B40.AB20.B19.AB$90.2A$60.A17.B11.C20.B$62.BA13.2C30.C.
AB$62.A15.A29.BC$100.B$99.2A$100.C$68.B$68.2C33.A$97.A5.BA$69.AB4.AB.
A20.A$69.B4.B.B.A18.A.A$73.A20.2C$94.2B$79.B13.C.A$78.ABC12.B.CA$92.A
B2$75.CB$75.B37$104.B$103.BC2$74.BA$71.AC.B24.CBA$72.A25.A.B$98.AC$
74.CB21.A.A$72.C22.A14.B$72.C22.A13.BA$63.AB9.C22.AC$64.A34.C10.2C$
100.AC9.B$67.C$67.2A$67.B$58.CB41.A3.2C10.A$55.BA.C42.2C13.AB$56.B20.
C23.B2.C2.C$75.B2A25.C.2C.C11.B$51.BA19.C30.CB7.BAC5.C$49.B4.A.B15.C.
ACB28.A.BC4.A$54.2C15.A4.C21.A6.B$47.BC2.B.C.2A13.CAC24.AB20.C$48.B
21.A2.A41.BA6.A$64.C50.BAC4.AC$51.A11.ACB5.2A$51.2B70.2B$51.C54.C17.A
$69.AB34.CB.A$70.A37.AC2$65.CA37.A$66.A.BC34.BA$50.A17.C54.C$50.2B70.
2B$102.2A5.BCA11.A$51.CA4.CAB50.C$51.A6.AB41.A2.A87.B$55.C20.BA24.CAC
13.2A.C.B21.CA22.C22.CB$69.B6.A21.C4.A15.2C4.B22.A22.C$61.A4.CB.A28.B
CA.C15.B.A4.B22.A22.C$54.C5.CAB7.BC30.C19.AB22.A21.BC$54.B11.C.2C.C
25.2AB$67.C2.C2.B23.C20.B$57.BA13.2C42.C.AB$57.A10.2C3.A41.BC$107.B$
106.2A$107.C$63.B9.CA$63.2C10.C34.A$76.CA22.C9.BA$64.AB13.A22.C$64.B
14.A22.C$75.A.A21.BC$75.CA$74.B.A25.A$73.ABC24.B.CA$99.AB2$70.CB$70.B
!

A variety of splitters, reflectors and a period tripler (ternary counter):

Code: Select all

x = 100, y = 69, rule = GluonGuns
11$89.B16$55.BC.B$14.B41.C$13.BA38.C2$53.2A$20.CAB30.C$21.A6.BCA63.C$
29.C63.CB2$11.A$11.CA2$10.2B65.A$10.A4.2B60.BA$56.A$14.B2.B36.B.CA$
17.A35.AB34.B$14.C$14.A2$19.A$18.2B$9.C.CB.B$6.B2.C.CB.B2.AC$18.A3$8.
A$7.BAC3$15.AB$15.B!

Some non-trivial mostly natural oscillators, p2-17. Below is the fairly common simple p24:

Code: Select all

x = 250, y = 352, rule = GluonGuns
6$29.C4.C$28.2A4.2B13.B7.C7.C20.B$28.2B4.2C4.A7.2C14.BCB4.AB4.AB6.ABA
4.BC$34.2C4.2B6.2A5.BC.CB11.B.C3.B.C4.2B.2B3.C.A$27.2C5.2B5.A14.CBC6.
A6.CB4.C.B4.ABA5.A.B$27.2B6.C13.C29.BA5.B7.BA$27.A10$52.B$40.A10.C.C
10.ACB5.CA2.A$37.C.B.B.C6.CB.BC8.B.C7.AB9.C$26.CA.C19.B5.B6.BA11.B7.
2A$27.A.C.B18.CB.BC6.A11.B.2A$37.C.B.B.C7.C.C7.2C13.C6.2C$40.A11.B8.B
$82.B2.B14$129.BA$25.A6.CA6.AC4.AB14.C3.C7.B8.A14.A11.B19.B$25.2B6.C
6.C5.B6.BC9.B17.2B12.C2B8.B3.A9.C9.C.B$25.C2.B5.B6.BA5.B4.C8.A3.A5.AB
.BA18.B2.C7.AB.A2.B10.B5.A.C2.A$27.2A4.CBA4.CB5.2A6.BA6.3C8.A8.A.C8.C
2.A12.A7.A2.C2.A6.C.B$27.C20.C5.CB5.2B3.2B5.B.B6.B11.B.AC10.A14.B6.B$
62.A3.A6.CBC9.A.BA4.ABC14.2B9.C7.BA$82.A.B2.B11.A10.A9$115.B$26.A87.C
.C$25.2B10.BAB10.CA9.B4.B6.A27.C12.B.B12.AB2.B2.BA$38.AB9.BCA11.2B7.
2B14.CBA10.2A9.CA.A.AC10.B7.B9.C$25.3ACBA11.ACB8.BA29.CA2.CB22.A.B.B.
A12.B3.B10.2A$29.B12.AC7.A.B9.2C7.A11.A.B15.C7.CB.B3.B.BC25.B$64.B9.A
10.BC13.C8.B2.A2.A2.A2.B7.B3.A3.B8.2C$77.BA17.CA12.CB.B3.B.BC26.A$75.
A.B19.A.C12.A.B.B.A12.B3.B11.B$112.CA.A.AC10.B7.B9.B.CB$114.B.B12.AB
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18.CB8.BC23.C3.2B25.B11.B15.B$24.C12.2C17.B13.C21.2B9.CA5.A7.C17.BA8.
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Re: GluonGuns

Posted: November 29th, 2020, 4:57 am

by Hunting

Yoel wrote: ↑
October 1st, 2020, 2:58 am
An unusual puffer/rake:
Code: Select all
x = 3, y = 13, rule = GluonGuns
2.B$.2C10$.2C$.B!

That's not a puffer nor a rake, but an SS linear growth like blockstacker or bricklayer. nice!

Re: GluonGuns

Posted: November 29th, 2020, 9:48 am

by bprentice

Hunting wrote: ↑
November 29th, 2020, 4:57 am
That's not a puffer nor a rake, but an SS linear growth like blockstacker or bricklayer. nice!

"What's in a name? That which we call a rose
By any other name would smell as sweet;"

Read this:

viewtopic.php?f=3&t=4696#p103411

Brian Prentice

Re: GluonGuns

Posted: November 29th, 2020, 8:59 pm

by Yoel

bprentice wrote: ↑
November 29th, 2020, 9:48 am

Hunting wrote: ↑
November 29th, 2020, 4:57 am
That's not a puffer nor a rake, but an SS linear growth like blockstacker or bricklayer. nice!
"What's in a name? That which we call a rose
By any other name would smell as sweet;"

Read this:

viewtopic.php?f=3&t=4696#p103411

Brian Prentice

A semi-natural gun-generating breeder (found by Apgsearch, I just made it smaller and symmetrical):

Code: Select all

x = 5, y = 36, rule = GluonGuns
5$.A$2.A$.CA2$C$C7$C$C2$.CA$2.A$.A!