ChimerasWorld
Posted: October 28th, 2020, 10:22 am
Two new 3-color cyclical rules abundant with various c/1 spaceships, which I call "chimeras", because some of them resemble mysterious creatures. Chimeras is a stable rule, meaning that patterns often end up with various puffers and rakes, but almost never with breeders or chaotic explosions. ChimerasWorld is a similar, but explosive - not chaotic, very much Class 4 - rule. For the time being, I am focusing on ChimerasWorld. In my notation, Chimeras are T11c21b5b31b22c42b-2a3n and ChimerasWorld is T11c21b4b31b22c42b-2a3n. Many basic patterns work in both rules.
For both rules:
1. A cell of the third color is born, if surrounded by 1 and 1 or 2 and 2 cells of other 2 colors.
2. A cell of certain color is born, if surrounded by 1 cell of that color and 2 or 3 cells of the previous color in the cycle (e.g. 3 red cells and 1 green cell give birth to a green cell).
3. A cell of certain color is born, if surrounded by 2 cells of that color and 4 cells of the previous color in the cycle.
4. A cell survives, if surrounded by 2 cells of the same color or 3 cells of any color.
One additional detail is different:
For Chimeras: A cell of a certain color is born, when surrounded by 5 cells of the previous color in the cycle (5 red cells give birth to a green cell etc.)
For ChimerasWorld: A cell of a certain color is born, when surrounded by 4 cells of the previous color in the cycle.
There is an elementary wickstrecter in both rules that usually doesn't grow infinitely in random soups, but either disappears or turns into a ship of indefinite length by reactions with other objects. There is an orthogonal replicator, which appears about as commonly as in HighLife and is often also consumed by other objects. The replicator is very useful for building oscillators and guns.
This gun is very cool, because it keeps shooting slower c/8 gliders inside its own structure:
Same with eaters:
An example of interesting glider reactions:
A relatively common natural floating gun composed of reacting spaceships:
Most common elementary oscillators (p2, 12, 15, 46):
A growing ship:
Some of the many elementary orthogonal ships (c/1):
Diagonal ships (c/2 and c/8)
An example of a natural rake:
For both rules:
1. A cell of the third color is born, if surrounded by 1 and 1 or 2 and 2 cells of other 2 colors.
2. A cell of certain color is born, if surrounded by 1 cell of that color and 2 or 3 cells of the previous color in the cycle (e.g. 3 red cells and 1 green cell give birth to a green cell).
3. A cell of certain color is born, if surrounded by 2 cells of that color and 4 cells of the previous color in the cycle.
4. A cell survives, if surrounded by 2 cells of the same color or 3 cells of any color.
One additional detail is different:
For Chimeras: A cell of a certain color is born, when surrounded by 5 cells of the previous color in the cycle (5 red cells give birth to a green cell etc.)
For ChimerasWorld: A cell of a certain color is born, when surrounded by 4 cells of the previous color in the cycle.
There is an elementary wickstrecter in both rules that usually doesn't grow infinitely in random soups, but either disappears or turns into a ship of indefinite length by reactions with other objects. There is an orthogonal replicator, which appears about as commonly as in HighLife and is often also consumed by other objects. The replicator is very useful for building oscillators and guns.
This gun is very cool, because it keeps shooting slower c/8 gliders inside its own structure:
Code: Select all
x = 103, y = 95, rule = ChimerasWorld
3$17.A70.A$15.A2.A68.A2.A$13.A.2C2A22.BA6.BC4.CB6.AB22.2A2C.A$14.C3.C
2.A19.AC6.AB4.BA6.CA19.A2.C3.C$14.AB5.A19.AC6.AB4.BA6.CA19.A5.BA$10.A
7.2C21.BA6.BC4.CB6.AB21.2C7.A$11.CA80.AC$9.AC.B80.B.CA$10.C84.C$8.A.A
84.A.A$9.2AC.C78.C.C2A$13.C78.C2$11.2A80.2A2$25.C54.C$27.C50.C$23.C
58.C2$24.C3.2B46.2B3.C$27.BC48.CB$27.B50.B10$41.C22.C$43.C18.C$10.B2A
B25.C26.C25.B2AB$10.A2CA78.A2CA$40.C3.2B14.2B3.C$43.BC16.CB$43.B18.B
4$10.B2AB78.B2AB$10.C2BC78.C2BC5$10.C2BC78.C2BC$10.B2AB78.B2AB4$43.B
18.B$43.BC16.CB$40.C3.2B14.2B3.C$10.A2CA78.A2CA$10.B2AB25.C26.C25.B2A
B$43.C18.C$41.C22.C10$27.B50.B$27.BC48.CB$24.C3.2B46.2B3.C2$23.C58.C$
27.C50.C$25.C54.C2$11.2A80.2A2$13.C78.C$9.2AC.C78.C.C2A$8.A.A84.A.A$
10.C84.C$9.AC.B80.B.CA$11.CA80.AC$10.A7.2C21.BA6.BC4.CB6.AB21.2C7.A$
14.AB5.A19.AC6.AB4.BA6.CA19.A5.BA$14.C3.C2.A19.AC6.AB4.BA6.CA19.A2.C
3.C$13.A.2C2A22.BA6.BC4.CB6.AB22.2A2C.A$15.A2.A68.A2.A$17.A70.A!Code: Select all
x = 131, y = 110, rule = ChimerasWorld
2$26.B4.B60.B4.B$26.2B2.2B60.2B2.2B6$117.2B$44.BA2.CA2.CB2.CA8.AC2.BC
2.AC2.AB36.ACA$44.AC2.BC2.BA2.BC8.CB2.AB2.CB2.CA$44.AC2.BC2.BA2.BC8.C
B2.AB2.CB2.CA$42.A.2A2.CA2.CB2.CA8.AC2.BC2.AC2.2A.A$42.A.B34.B.A$42.
2A36.2A$38.B.A.2B36.2B.A.B$11.2B27.A.A38.A.A$12.B26.A.B40.B.A$37.3C
44.3C$36.BC.B44.B.CB$12.B23.BA48.AB$11.2B5$29.2B62.2B$28.2CA62.A2C$
25.B2.C66.C2.B$27.ACB64.BCA$25.2A17.A34.A17.2A$27.B14.C3.C30.C3.C14.B
$22.3ABA14.CA38.AC14.AB3A$24.AB20.C30.C20.BA$19.B3AB16.A42.A16.B3AB$
19.A2CA23.A30.A23.A2CA$41.C.C.A32.A.C.C2$19.C2BC78.C2BC$19.A2CA78.A2C
A3$19.C2BC78.C2BC$19.B2AB78.B2AB3$19.C2BC78.C2BC$19.A2CA78.A2CA9$19.A
2CA78.A2CA$19.C2BC78.C2BC3$19.B2AB78.B2AB$19.C2BC78.C2BC3$19.A2CA78.A
2CA$19.C2BC78.C2BC2$41.C.C.A32.A.C.C$19.A2CA23.A30.A23.A2CA$19.B3AB
16.A42.A16.B3AB$24.AB20.C30.C20.BA$22.3ABA14.CA38.AC14.AB3A$27.B14.C
3.C30.C3.C14.B$25.2A17.A34.A17.2A$27.ACB64.BCA$25.B2.C66.C2.B$28.2CA
62.A2C$29.2B62.2B5$11.2B98.2B$12.B23.BA48.AB23.B$36.BC.B44.B.CB$37.3C
44.3C$12.B26.A.B40.B.A26.B$11.2B27.A.A38.A.A27.2B$38.B.A.2B36.2B.A.B$
42.2A36.2A$42.A.B34.B.A$42.A.2A2.CA2.CB2.CA8.AC2.BC2.AC2.2A.A$44.AC2.
BC2.BA2.BC8.CB2.AB2.CB2.CA$44.AC2.BC2.BA2.BC8.CB2.AB2.CB2.CA$44.BA2.C
A2.CB2.CA8.AC2.BC2.AC2.AB7$26.2B2.2B60.2B2.2B$26.B4.B60.B4.B!Code: Select all
x = 317, y = 144, rule = ChimerasWorld
16$202.2C.2C.2C.2C$202.C2.C2.C2.C$30.B4.B60.B4.B$30.2B2.2B60.2B2.2B$
213.B4.B60.B4.B$213.2B2.2B60.2B2.2B4$27.A76.A$31.AB19.AC2.BC2.AC2.A2B
A2.CA2.CB2.CA19.BA$27.C24.CB2.AB2.CB2.C2AC2.BC2.BA2.BC24.C105.A76.A$
29.A22.CB2.AB2.CB2.C2AC2.BC2.BA2.BC22.A111.AB19.AC2.BC2.AC2.A2BA2.CA
2.CB2.CA19.BA$26.AC24.AC2.BC2.AC2.A2BA2.CA2.CB2.CA24.CA104.C24.CB2.AB
2.CB2.C2AC2.BC2.BA2.BC24.C$22.A.C.CA76.AC.C.A102.A22.CB2.AB2.CB2.C2AC
2.BC2.BA2.BC22.A$209.AC24.AC2.BC2.AC2.A2BA2.CA2.CB2.CA24.CA$25.A80.A
98.A.C.CA76.AC.C.A$15.2B$16.B6.A84.A99.A80.A$23.B84.B189.2B$206.A84.A
6.B$16.B189.B84.B$15.2B156.2B$173.B124.B$298.2B$173.2B$40.2A48.2A81.B
$39.A.BA46.AB.A$39.AB50.BA80.2B48.2A48.2A$40.A50.A81.B48.A.BA46.AB.A$
222.AB50.BA$173.2B48.A50.A$173.B7$23.A2CA78.A2CA$23.C2BC78.C2BC$206.A
2CA78.A2CA$56.2A16.2A130.C2BC78.C2BC$23.B2AB28.A.BA14.AB.A28.B2AB$23.
C2BC28.AB18.BA28.C2BC130.2A16.2A$56.A18.A130.B2AB28.A.BA14.AB.A28.B2A
B$206.C2BC28.AB18.BA28.C2BC$23.A2CA78.A2CA130.A18.A$23.C2BC78.C2BC$
206.A2CA78.A2CA$206.C2BC78.C2BC$23.A2CA78.A2CA$23.B2AB78.B2AB$23.B2AB
78.B2AB97.A2CA78.A2CA$23.A2CA78.A2CA97.B2AB78.B2AB$206.B2AB78.B2AB$
206.A2CA78.A2CA$23.C2BC78.C2BC$23.A2CA78.A2CA$206.C2BC78.C2BC$56.A18.
A130.A2CA78.A2CA$23.C2BC28.AB18.BA28.C2BC$23.B2AB28.A.BA14.AB.A28.B2A
B130.A18.A$56.2A16.2A130.C2BC28.AB18.BA28.C2BC$206.B2AB28.A.BA14.AB.A
28.B2AB$23.C2BC78.C2BC130.2A16.2A$23.A2CA78.A2CA$206.C2BC78.C2BC$206.
A2CA78.A2CA8$40.A50.A$39.AB50.BA$39.A.BA46.AB.A130.A50.A$40.2A48.2A
130.AB50.BA$222.A.BA46.AB.A$223.2A48.2A2$15.2B98.2B$16.B98.B$198.2B
98.2B$23.B84.B90.B98.B$16.B6.A84.A6.B$15.2B98.2B89.B84.B$25.A80.A92.B
6.A84.A6.B$198.2B98.2B$22.A.C.CA76.AC.C.A98.A80.A$26.AC24.AC2.BC2.AC
2.A2BA2.CA2.CB2.CA24.CA$29.A22.CB2.AB2.CB2.C2AC2.BC2.BA2.BC22.A102.A.
C.CA76.AC.C.A$27.C24.CB2.AB2.CB2.C2AC2.BC2.BA2.BC24.C104.AC24.AC2.BC
2.AC2.A2BA2.CA2.CB2.CA24.CA$31.AB19.AC2.BC2.AC2.A2BA2.CA2.CB2.CA19.BA
111.A22.CB2.AB2.CB2.C2AC2.BC2.BA2.BC22.A$27.A76.A105.C24.CB2.AB2.CB2.
C2AC2.BC2.BA2.BC24.C$214.AB19.AC2.BC2.AC2.A2BA2.CA2.CB2.CA19.BA$210.A
76.A4$30.2B2.2B60.2B2.2B$30.B4.B60.B4.B$213.2B2.2B60.2B2.2B$213.B4.B
60.B4.B!Code: Select all
x = 165, y = 122, rule = ChimerasWorld
7$9.A.A.A2.C4.2A20.C$9.C6.C28.B$9.C.2CAB.B.C.C2.B19.B.B14.B$9.A2.BCA
11.AC.C3.C8.B$10.B.C.C.2A15.C10.A14.A2C.CA51.B2AB$12.C6.B2.C2.A2C.CB
2A8.B3.B2A.B9.2B55.A$21.B8.A10.B4.2C.B7.C.CA55.A3.C$20.B9.AC9.B3.C2AB
8.C.C2B.BC16.B36.C.A.C10.B5.CA$43.C.A16.2A52.B3.ACBC7.A.A.B3.C7.B3.B.
B.B$29.A28.AC4.CB50.B2.A2.A4.C4.C7.C5.C.CB.A.A.A$61.A.AC14.A2.A40.3B
4.B6.B11.A.A.A.A$61.2B14.A42.A2.BC4.B7.CA3.B6.B.B.B.B$58.C3.C16.A3.C
54.BA$57.A19.AB.C.AC$57.BACB21.B2.A$57.C2.A2.C.2A7.CBAB3.C$56.C.A2.C.
C3.A5.B3.A2.C4.A$53.CB2.C2.B.B2C7.C4.A$53.CA.A7.2BC2.C6.C$54.B.B11.C
3.C3.A$61.A2.B4.A2.B.B$60.AB4.C.C3.C$60.AB2.B$60.AB5$50.BA$50.BC$51.A
.A15$64.A$63.B.B2$60.A2.C3.B$62.B3.CA$59.C.A.C2.AB$59.B.C$59.A.A.A4.A
.A$59.AB5.A.A.A$58.B.A5.C3.C$58.CA5.A$66.A.B7$70.2A$67.B$65.B2.A.2C.C
$70.AB.B$67.CA3.A$68.C3.BC$71.C2$70.A$70.A2$68.C$68.A.B$66.B2.A$66.B
2.2C$65.B2A$65.A$64.CB$63.CA$64.A2CB$63.A4.A$63.C$61.ACB4.C$62.B.2C2.
2A$61.ACB2.2C.A$66.BA$62.B2A.A2.B$66.AB$63.B2AC2.C.B$66.B$70.CAB2$67.
B.B.B$67.C.B$66.CB4.A$65.AC.CBAB$65.B3.A2.B$69.A$66.C3.2C$68.B2.A2$
71.A$68.C.BC$70.C$68.B$69.A2CA!Code: Select all
x = 51, y = 10, rule = ChimerasWorld
3$22.B.C$.C7.B15.C21.B.B$2.B7.C9.B12.AB11.2BCA$2.B5.A16.B8.A12.CAC$.C
18.C25.BAC$21.C.B!Code: Select all
x = 9, y = 9, rule = ChimerasWorld
$3.2C$5.2A.B$3.C4.A$3.C4.A$5.2A.B$3.2C!Code: Select all
x = 212, y = 317, rule = ChimerasWorld
20$173.B$171.B.A$171.A.A$171.B.B15$130.B.2B$130.AC16.2CB3.B.C4.2C$
131.C16.A6.B4.C$132.A12.A3.BA2.A.A.A5.C3.CB$132.C10.ABA5.BA.B5.A2.BAC
3B2.B$144.C4.C5.B9.B3C3.A.A$132.A2C15.B13.BC2.A3.C.C$132.A2C15.B13.BC
2.A3.C.C$144.C4.C5.B9.B3C3.A.A$132.C10.ABA5.BA.B5.A2.BAC3B2.B$132.A
12.A3.BA2.A.A.A5.C3.CB$131.C16.A6.B4.C$130.AC16.2CB3.B.C4.2C$130.B.2B
14$162.A$160.C2.C$162.A2.B.B.B.B.B.B$165.A.A.A.A.A.A$165.A.A.A.A.A.A$
162.A2.B.B.B.B.B.B$160.C2.C$162.A12$166.B3.A2.C$166.B4.A2.CA$172.B2.C
$172.B2.C$166.B4.A2.CA$166.B3.A2.C17$143.2B2$144.B$65.C23.A.B52.A3C$
90.CA72.C$65.C3.C7.C.2B9.CA2.C21.AB4.B41.A3.4C$63.C2.AC12.C.A7.AC3.B
13.B.B.3B7.B26.B13.AB2.C$65.CA4.B5.C.2C.A5.A.B4.AB12.A4.A3.CA.A.A.C
19.B3.A14.A.C3.B2C.BC$68.C2.AB3.C3.CBC3.AB8.B5.2A5.A.2AB6.B.AB.C.A18.
BA.A16.C7.A.C$65.A3.AB5.C2.A13.2B.2BA2.BCB5.B2.CA6.B.B2.C18.B2.2A3.A.
A9.A2.2C4.ABAB$64.B.B3.C9.C2.A17.A8.C.A14.B18.A.C3.A17.C2.ABAB$64.C
10.2B.BCB.A16.A2.C9.A.BC.3C31.2A.A9.BC4.C3.A.C$75.A4.A2.A17.2A15.A.A
33.B.C9.A3.C2.A.C$64.C10.2B.BCB.A16.A2.C9.A.BC.3C31.2A.A9.BC4.C3.A.C$
64.B.B3.C9.C2.A17.A8.C.A14.B18.A.C3.A17.C2.ABAB$65.A3.AB5.C2.A13.2B.
2BA2.BCB5.B2.CA6.B.B2.C18.B2.2A3.A.A9.A2.2C4.ABAB$68.C2.AB3.C3.CBC3.A
B8.B5.2A5.A.2AB6.B.AB.C.A18.BA.A16.C7.A.C$65.CA4.B5.C.2C.A5.A.B4.AB
12.A4.A3.CA.A.A.C19.B3.A14.A.C3.B2C.BC$63.C2.AC12.C.A7.AC3.B13.B.B.3B
7.B26.B13.AB2.C$65.C3.C7.C.2B9.CA2.C21.AB4.B41.A3.4C$90.CA72.C$65.C
23.A.B52.A3C$144.B2$143.2B26$154.C$144.A.B3.C2.B4.A6.C$144.AC3.A9.B5.
C$145.CAB5.CACAC2.C2.3A5.C$129.2C13.CAB.BCAB.C2B2.B6.B7.B$144.2BCA.B.
B7.A5.B.A2.B3.A$129.AB16.BCA.C17.C.B2.C$129.AB16.BCA.C17.C.B2.C$144.
2BCA.B.B7.A5.B.A2.B3.A$129.2C13.CAB.BCAB.C2B2.B6.B7.B$145.CAB5.CACAC
2.C2.3A5.C$144.AC3.A9.B5.C$144.A.B3.C2.B4.A6.C$154.C19$160.2B$144.A
15.A$158.CB.A8.B.B.B$153.C4.C2.A.C7.C2.A$152.B2.AB3.C9.B3.A$161.BCA4.
C.BC2.B$154.A$161.2A15$173.B$170.A2.AB$174.A$171.C2.A$165.AC3.B2.AB$
172.A$165.C3.B$167.AB18$155.A.A.A.A.A.A.A.A.A.A.A$159.C.C.C.C.C.C.C.C
.C$155.A3.C.C.C.C.C.C.C.C.C$159.A.A.A.A.A.A.A.A.A12$146.B$146.B6.B$
148.A4.B2.B.A$156.B.B.A$156.CBA3.C.C.C.C.C.C.C.C$159.A2.B.B.B.B.B.B.B
.B$159.A2.B.B.B.B.B.B.B.B$156.CBA3.C.C.C.C.C.C.C.C$156.B.B.A$148.A4.B
2.B.A$146.B6.B$146.B18$66.CB33.C5.C2.C$68.AC.A25.4C9.B$67.B29.C2.B3.B
C.2CA2.A$71.B26.B.C3.B.2A22.2A4.A$99.BCA3.B.B2.AC26.A$37.2C59.CB2.C.C
.A26.2A4.C4.2B$34.CAB3.A23.2B30.C3.CB4.BC.CA20.C4.BA.B7.B$32.C2.A.C2.
B21.C.C2.C30.2B2C6.B19.B3.A5.B5.A2.2A13.C$32.CA.B5.2A54.ACAC2.B2.C2.C
2.2B17.C3.A.A8.AB2.B5.B.C.2A.2B$35.A.BC.C.B18.C.C2A2B31.A3.C.2A.A.C
17.B.B.BCB2.A.A6.C.C8.2B2.A3.C2.C$35.B2.A.B3.A18.C.C36.C.B.3BC.BA16.C
2.A.B6.C6.C8.AC.AB3.AC3.B.B.B.B$33.3ACA5.2C.A19.3B57.A2.BA10.C4.A8.2B
4.A.BAC.2A.A.A.A.A$36.A.A25.2B4.B26.A2.C3.2C20.A3.A.CB.A5.C.A2.C23.A.
A.A.A$36.A4.BC2.C20.B5.A56.A6.C2.A7.A10.CAB.A3.B.B.B.B.B.B$41.BAB23.C
.CB.A25.B5.2C30.BA.B4.B12.2BA2C$66.A4.A25.C.C46.2A12.A.A$39.AC25.2B3.
A.AC22.A.A$39.A.2B22.AC5.2B$39.BC!Code: Select all
x = 16, y = 15, rule = ChimerasWorld
2$4.AB$4.CB$4.A5$12.C$11.B.C$11.CB!Code: Select all
x = 38, y = 38, rule = ChimerasWorld
2$6.B2AB2$6.B2A.A2$8.3B$5.A5.2A$7.2B4.C$8.AC3.C$11.C$11.A$7.A.2C3.C7.
A.2AB$8.A.CAC9.C2.C.A.A$13.BC6.B2.A.B2.B.A$9.ABA2.A6.A2.2C4.B2.C$21.C
B3.B.C2.B.B$21.CB3.B.C2.B.B$9.ABA2.A6.A2.2C4.B2.C$13.BC6.B2.A.B2.B.A$
8.A.CAC9.C2.C.A.A$7.A.2C3.C7.A.2AB$11.A$11.C$8.AC3.C$7.2B4.C$5.A5.2A$
8.3B2$6.B2A.A2$6.B2AB!