## 2D Replicator Classes

For discussion of other cellular automata.

### Re: 2D Replicator Classes

I am not sure what this is:
x = 3, y = 5, rule = B2ei3aeij4cqrtz5cjkry/S1c2ace3jnq4acijt5y6-ak7
bo\$obo\$3o\$obo\$bo!
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1047
Joined: July 1st, 2016, 3:58 pm

### Re: 2D Replicator Classes

There should be a class E failed replicator, for objects that explode but frequently appear in the resulting explosion.
The most unusual example I know of (a rule that I found)
x = 4, y = 3, rule = B3-k4k5e7c/S23-a4ityz
2bo\$b3o\$2obo!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2343
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: 2D Replicator Classes

I think this is a large version of some class-S replicator, but it has the property of making larger versions of itself so I dunno:
x = 241, y = 245, rule = 1/1/5
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2D\$224.A10.D.D2.A\$225.3B.3B.2B3D2B\$225.BCB.BCB.BCB.BCB\$225.2B3D2B.3B.
3B\$224.A2.D.D10.A\$227.2D2\$227.2D\$216.A7.A2.D.D2.A7.A\$217.3B.3B3.3D3.
3B.3B\$217.BCB.BCB9.BCB.BCB\$217.2B3D2B3.3D3.2B3D2B\$216.A2.D.D2.A2.D.D
2.A2.D.D2.A\$219.2D7.2D5.2D2\$219.2D7.2D5.2D\$208.A10.D.D5.D.D5.D.D2.A\$
209.3B.3B.2B3D2B.2B3D2B.2B3D2B\$209.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB\$
209.2B3D2B.3B.3B.3B.3B.3B.3B\$208.A2.D.D26.A\$211.2D2\$211.2D\$200.A7.A2.
D.D18.A7.A\$201.3B.3B3.3D19.3B.3B\$201.BCB.BCB25.BCB.BCB\$201.2B3D2B3.3D
19.2B3D2B\$200.A2.D.D2.A2.D.D18.A2.D.D2.A\$203.2D7.2D21.2D2\$203.2D7.2D
21.2D\$192.A10.D.D2.A2.D.D10.A10.D.D2.A\$193.3B.3B.2B3D2B3.3D11.3B.3B.
2B3D2B\$193.BCB.BCB.BCB.BCB17.BCB.BCB.BCB.BCB\$193.2B3D2B.3B.3B3.3D11.
2B3D2B.3B.3B\$192.A2.D.D10.A2.D.D10.A2.D.D10.A\$195.2D15.2D13.2D2\$195.
2D15.2D13.2D\$184.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A\$185.3B.3B3.3D
3.3B.3B3.3D3.3B.3B3.3D3.3B.3B\$185.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB\$
185.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B\$184.A2.D.D2.A2.D.D2.A
2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A\$187.2D7.2D5.2D7.2D5.2D7.2D5.
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.D5.D.D2.A\$177.3B.3B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B
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177.2B3D2B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B\$176.A2.D.D58.A\$
179.2D2\$179.2D\$168.A7.A2.D.D50.A7.A\$169.3B.3B3.3D51.3B.3B\$169.BCB.BCB
57.BCB.BCB\$169.2B3D2B3.3D51.2B3D2B\$168.A2.D.D2.A2.D.D50.A2.D.D2.A\$
171.2D7.2D53.2D2\$171.2D7.2D53.2D\$160.A10.D.D2.A2.D.D42.A10.D.D2.A\$
161.3B.3B.2B3D2B3.3D43.3B.3B.2B3D2B\$161.BCB.BCB.BCB.BCB49.BCB.BCB.BCB
.BCB\$161.2B3D2B.3B.3B3.3D43.2B3D2B.3B.3B\$160.A2.D.D10.A2.D.D42.A2.D.D
10.A\$163.2D15.2D45.2D2\$163.2D15.2D45.2D\$152.A7.A2.D.D2.A7.A2.D.D34.A
7.A2.D.D2.A7.A\$153.3B.3B3.3D3.3B.3B3.3D35.3B.3B3.3D3.3B.3B\$153.BCB.BC
B9.BCB.BCB41.BCB.BCB9.BCB.BCB\$153.2B3D2B3.3D3.2B3D2B3.3D35.2B3D2B3.3D
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2.A\$155.2D7.2D5.2D7.2D37.2D7.2D5.2D2\$155.2D7.2D5.2D7.2D37.2D7.2D5.2D\$
144.A10.D.D5.D.D5.D.D2.A2.D.D26.A10.D.D5.D.D5.D.D2.A\$145.3B.3B.2B3D2B
.2B3D2B.2B3D2B3.3D27.3B.3B.2B3D2B.2B3D2B.2B3D2B\$145.BCB.BCB.BCB.BCB.B
CB.BCB.BCB.BCB33.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB\$145.2B3D2B.3B.3B.3B.
3B.3B.3B3.3D27.2B3D2B.3B.3B.3B.3B.3B.3B\$144.A2.D.D26.A2.D.D26.A2.D.D
26.A\$147.2D31.2D29.2D2\$147.2D31.2D29.2D\$136.A7.A2.D.D18.A7.A2.D.D18.A
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18.A2.D.D2.A\$139.2D7.2D21.2D7.2D21.2D7.2D21.2D2\$139.2D7.2D21.2D7.2D
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10.A2.D.D10.A2.D.D10.A2.D.D10.A\$131.2D15.2D13.2D15.2D13.2D15.2D13.2D
2\$131.2D15.2D13.2D15.2D13.2D15.2D13.2D\$120.A7.A2.D.D2.A7.A2.D.D2.A7.A
2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A\$121.3B.3B3.3D
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2B3.3D3.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B\$120.A2.D.D2.A2.D.D2.A2.D.D2.A
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2.A2.D.D2.A2.D.D2.A2.D.D2.A\$123.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D5.2D7.
2D5.2D7.2D5.2D7.2D5.2D2\$123.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D5.
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.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B\$112.A2.D.D122.A\$115.2D2\$115.
2D\$104.A7.A2.D.D114.A7.A\$105.3B.3B3.3D115.3B.3B\$105.BCB.BCB121.BCB.BC
B\$105.2B3D2B3.3D115.2B3D2B\$104.A2.D.D2.A2.D.D114.A2.D.D2.A\$107.2D7.2D
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3D2B3.3D107.3B.3B.2B3D2B\$97.BCB.BCB.BCB.BCB113.BCB.BCB.BCB.BCB\$97.2B
3D2B.3B.3B3.3D107.2B3D2B.3B.3B\$96.A2.D.D10.A2.D.D106.A2.D.D10.A\$99.2D
15.2D109.2D2\$99.2D15.2D109.2D\$88.A7.A2.D.D2.A7.A2.D.D98.A7.A2.D.D2.A
7.A\$89.3B.3B3.3D3.3B.3B3.3D99.3B.3B3.3D3.3B.3B\$89.BCB.BCB9.BCB.BCB
105.BCB.BCB9.BCB.BCB\$89.2B3D2B3.3D3.2B3D2B3.3D99.2B3D2B3.3D3.2B3D2B\$
88.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D98.A2.D.D2.A2.D.D2.A2.D.D2.A\$91.2D7.
2D5.2D7.2D101.2D7.2D5.2D2\$91.2D7.2D5.2D7.2D101.2D7.2D5.2D\$80.A10.D.D
5.D.D5.D.D2.A2.D.D90.A10.D.D5.D.D5.D.D2.A\$81.3B.3B.2B3D2B.2B3D2B.2B3D
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91.2B3D2B.3B.3B.3B.3B.3B.3B\$80.A2.D.D26.A2.D.D90.A2.D.D26.A\$83.2D31.
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73.3B.3B3.3D19.3B.3B3.3D83.3B.3B3.3D19.3B.3B\$73.BCB.BCB25.BCB.BCB89.B
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D2.A2.D.D10.A10.D.D2.A2.D.D74.A10.D.D2.A2.D.D10.A10.D.D2.A\$65.3B.3B.
2B3D2B3.3D11.3B.3B.2B3D2B3.3D75.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B\$65.BC
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65.2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B3.3D75.2B3D2B.3B.3B3.3D11.2B3D2B.3B
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10.A\$67.2D15.2D13.2D15.2D77.2D15.2D13.2D2\$67.2D15.2D13.2D15.2D77.2D
15.2D13.2D\$56.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D66.A7.A2.D.D
2.A7.A2.D.D2.A7.A2.D.D2.A7.A\$57.3B.3B3.3D3.3B.3B3.3D3.3B.3B3.3D3.3B.
3B3.3D67.3B.3B3.3D3.3B.3B3.3D3.3B.3B3.3D3.3B.3B\$57.BCB.BCB9.BCB.BCB9.
BCB.BCB9.BCB.BCB73.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB\$57.2B3D2B3.3D3.
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3D3.2B3D2B\$56.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D
2.A2.D.D66.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A\$
59.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D69.2D7.2D5.2D7.2D5.2D7.2D5.2D2\$59.2D
7.2D5.2D7.2D5.2D7.2D5.2D7.2D69.2D7.2D5.2D7.2D5.2D7.2D5.2D\$48.A10.D.D
5.D.D5.D.D5.D.D5.D.D5.D.D5.D.D2.A2.D.D58.A10.D.D5.D.D5.D.D5.D.D5.D.D
5.D.D5.D.D2.A\$49.3B.3B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D
2B3.3D59.3B.3B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B\$49.BC
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3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B3.3D59.2B3D2B.3B.3B.3B.3B.3B
.3B.3B.3B.3B.3B.3B.3B.3B.3B\$48.A2.D.D58.A2.D.D58.A2.D.D58.A\$51.2D63.
2D61.2D2\$51.2D63.2D61.2D\$40.A7.A2.D.D50.A7.A2.D.D50.A7.A2.D.D50.A7.A\$
41.3B.3B3.3D51.3B.3B3.3D51.3B.3B3.3D51.3B.3B\$41.BCB.BCB57.BCB.BCB57.B
CB.BCB57.BCB.BCB\$41.2B3D2B3.3D51.2B3D2B3.3D51.2B3D2B3.3D51.2B3D2B\$40.
A2.D.D2.A2.D.D50.A2.D.D2.A2.D.D50.A2.D.D2.A2.D.D50.A2.D.D2.A\$43.2D7.
2D53.2D7.2D53.2D7.2D53.2D2\$43.2D7.2D53.2D7.2D53.2D7.2D53.2D\$32.A10.D.
D2.A2.D.D42.A10.D.D2.A2.D.D42.A10.D.D2.A2.D.D42.A10.D.D2.A\$33.3B.3B.
2B3D2B3.3D43.3B.3B.2B3D2B3.3D43.3B.3B.2B3D2B3.3D43.3B.3B.2B3D2B\$33.BC
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33.2B3D2B.3B.3B3.3D43.2B3D2B.3B.3B3.3D43.2B3D2B.3B.3B3.3D43.2B3D2B.3B
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10.A\$35.2D15.2D45.2D15.2D45.2D15.2D45.2D2\$35.2D15.2D45.2D15.2D45.2D
15.2D45.2D\$24.A7.A2.D.D2.A7.A2.D.D34.A7.A2.D.D2.A7.A2.D.D34.A7.A2.D.D
2.A7.A2.D.D34.A7.A2.D.D2.A7.A\$25.3B.3B3.3D3.3B.3B3.3D35.3B.3B3.3D3.3B
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41.BCB.BCB9.BCB.BCB41.BCB.BCB9.BCB.BCB41.BCB.BCB9.BCB.BCB\$25.2B3D2B3.
3D3.2B3D2B3.3D35.2B3D2B3.3D3.2B3D2B3.3D35.2B3D2B3.3D3.2B3D2B3.3D35.2B
3D2B3.3D3.2B3D2B\$24.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D34.A2.D.D2.A2.D.D2.
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D.D2.A\$27.2D7.2D5.2D7.2D37.2D7.2D5.2D7.2D37.2D7.2D5.2D7.2D37.2D7.2D5.
2D2\$27.2D7.2D5.2D7.2D37.2D7.2D5.2D7.2D37.2D7.2D5.2D7.2D37.2D7.2D5.2D\$
16.A10.D.D5.D.D5.D.D2.A2.D.D26.A10.D.D5.D.D5.D.D2.A2.D.D26.A10.D.D5.D
.D5.D.D2.A2.D.D26.A10.D.D5.D.D5.D.D2.A\$17.3B.3B.2B3D2B.2B3D2B.2B3D2B
3.3D27.3B.3B.2B3D2B.2B3D2B.2B3D2B3.3D27.3B.3B.2B3D2B.2B3D2B.2B3D2B3.
3D27.3B.3B.2B3D2B.2B3D2B.2B3D2B\$17.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB33.
BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB33.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB33.B
CB.BCB.BCB.BCB.BCB.BCB.BCB.BCB\$17.2B3D2B.3B.3B.3B.3B.3B.3B3.3D27.2B3D
2B.3B.3B.3B.3B.3B.3B3.3D27.2B3D2B.3B.3B.3B.3B.3B.3B3.3D27.2B3D2B.3B.
3B.3B.3B.3B.3B\$16.A2.D.D26.A2.D.D26.A2.D.D26.A2.D.D26.A2.D.D26.A2.D.D
26.A2.D.D26.A\$19.2D31.2D29.2D31.2D29.2D31.2D29.2D2\$19.2D31.2D29.2D31.
2D29.2D31.2D29.2D\$8.A7.A2.D.D18.A7.A2.D.D18.A7.A2.D.D18.A7.A2.D.D18.A
7.A2.D.D18.A7.A2.D.D18.A7.A2.D.D18.A7.A\$9.3B.3B3.3D19.3B.3B3.3D19.3B.
3B3.3D19.3B.3B3.3D19.3B.3B3.3D19.3B.3B3.3D19.3B.3B3.3D19.3B.3B\$9.BCB.
BCB25.BCB.BCB25.BCB.BCB25.BCB.BCB25.BCB.BCB25.BCB.BCB25.BCB.BCB25.BCB
.BCB\$9.2B3D2B3.3D19.2B3D2B3.3D19.2B3D2B3.3D19.2B3D2B3.3D19.2B3D2B3.3D
19.2B3D2B3.3D19.2B3D2B3.3D19.2B3D2B\$8.A2.D.D2.A2.D.D18.A2.D.D2.A2.D.D
18.A2.D.D2.A2.D.D18.A2.D.D2.A2.D.D18.A2.D.D2.A2.D.D18.A2.D.D2.A2.D.D
18.A2.D.D2.A2.D.D18.A2.D.D2.A\$11.2D7.2D21.2D7.2D21.2D7.2D21.2D7.2D21.
2D7.2D21.2D7.2D21.2D7.2D21.2D2\$11.2D7.2D21.2D7.2D21.2D7.2D21.2D7.2D
21.2D7.2D21.2D7.2D21.2D7.2D21.2D\$A10.D.D2.A2.D.D10.A10.D.D2.A2.D.D10.
A10.D.D2.A2.D.D10.A10.D.D2.A2.D.D10.A10.D.D2.A2.D.D10.A10.D.D2.A2.D.D
10.A10.D.D2.A2.D.D10.A10.D.D2.A\$.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B3.3D
11.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B3.3D11.3B.3B.2B
3D2B3.3D11.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B\$.BCB.BCB.BCB.BCB17.BCB.BCB
.BCB.BCB17.BCB.BCB.BCB.BCB17.BCB.BCB.BCB.BCB17.BCB.BCB.BCB.BCB17.BCB.
BCB.BCB.BCB17.BCB.BCB.BCB.BCB17.BCB.BCB.BCB.BCB\$.2B3D2B.3B.3B3.3D11.
2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B
3.3D11.2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B\$A2.D.D10.A
2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D
10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D10.A\$3.2D15.2D
13.2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D13.2D2\$3.
2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D13.2D15.2D
13.2D\$A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.
A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.
A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A\$.2B3D2B9.2B3D2B9.2B3D2B9.2B3D2B9.2B3D
2B9.2B3D2B9.2B3D2B9.2B3D2B9.2B3D2B9.2B3D2B9.2B3D2B9.2B3D2B9.2B3D2B9.
2B3D2B9.2B3D2B\$.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB
9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.
BCB9.BCB.BCB\$.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B
9.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B9.3B.3B\$A7.A7.A7.A7.A7.A7.A
7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A7.A
!

Oh and this is definitely a class Q:
x = 49, y = 49, rule = Ed-rep
24F3E7DB7A\$3B2AB25F7E3DCB6A\$3B2AC3FE17F6E2D2BC3DCB4ABA\$3B2AC3FE19F4D
D3B2AB\$BC2ABD3FE7F2E5F3DB2D2BC5D2C2DC3B3A\$2BA2BD10FE2D3F2E6DC10D3C3B
2A\$2BA2BC7F6DEF3E5DC3D2E7DBCD3BA\$2BA2BC3F2DC3BC3DEFE5DC3DE2FE4D2EDBCD
2CBA\$BCA3BEFDB3AB3D5E3D3BC3DB7AB2DCD2C2B\$BCA3BDFD2B2C7D4ED4BDB6A4BC5D
CB\$BCB2ABCF3D2E7DE3FD5B3AB2C11D2B\$B2C3ABF8E5D3FE4B2DCDEFE6DE4D2B\$ABCB
3A2FDF2E3FE2D2B3FD3BD2E3D2E2DB2D3E2DEDB\$A3B3AEF3E2FDBA3BD3FEC8BC5D4E
4DB\$2ABCB2AEF2EFC6ABE3FD2B10D3E7DEC\$CABC2BAEF2E4A2B2CE4FE4D3E2FE4FEDE
EF6E6DE2DE\$6BAC2FD2E2DBC2E5F2DED3BD3F4E5D2E2DE\$D3BC2BD2F2E4DE7F3EFC2A
BD2F4E5D3EDE\$DA2BC2BD3F5E8FE2DEF2B2A13DEDE\$C3B2DCB11FD5F3DF2DB2AB13DE
\$2C2BCEDC10F2D5F3D2F6B11D2E\$C2BCB2E2D9FBD4F3DB2D6B9DC3D\$2B3C2E2C8FDB
2FE2FE2DB2DBD4B9DC3D\$B2C2B2EDBE6FDBA2FE2F4DB3A4BC8D2C2D\$3BABC2EDE4F2E
DAB5F3DB3A7BD2BC7D\$A3B2AEF3E2FE3DAB8DBA6BC2B2DBDE6D\$3B3AB7E2DBA3DBABD
2BA6BDC2B2CBCE3DB2D\$B3AB2C7E2D2BFD2E2DC6BC2DCD4BCDE6D\$CBC2BECBCD5EDBD
F2D2E2D3C8DB2AB9D\$ECECBC3ACDF3EDBD6EDC7D3B3AB9D\$CB4C2A3CF2E2DA2D2E2D
2F3ED4B5AB2C5DC2D\$2B2CECBCECBEFEDCB5EFE2D2BABDB5ACD3C4DC2D\$2B4CB2CBAE
FE2DBDED2FE4BDB6ABC8DCB2D\$10BABFE7D3BC2DB4ABCB3C6D2CB2D\$2B2A8B4E4DB8A
CD4BDBC2DC4DBC2D\$B2AC5BCD2EF3E2DBDECBA3BC5D3B8DBC2D\$BABC5BCE2CFEDE2DB
D2FEDED3F2DBC2BCD2C5DBC2D\$C2BC3BC2BCAB2ED2E3DE2F2E5D4CB3C3DCDCBC2D\$EB
A2B6C2BD5E2D6E2DB2CDC3BC6D3B2C\$B4A4B5C6ED5E8DC9DC2B2C\$2AB2A3B3C9ED3E
10DB9DC2B2C\$2B3CE2CE4C2BDF3ED4E19DC2B2C!

Use this for the above pattern:
@RULE Ed-rep

Rule tree written automatically by
Scripts/Python/Rule-Generators/FredkinModN-gen.py.

Winograd's generalization of Fredkin's parity rule (B1357/S1357) to modulo-n:
c,{s} -> sum(s)%n, where n=2 for original rule.

Winograd, T. (1970) A simple algorithm for self-replication
A. I. Memo 197, Project MAC. MIT. http://hdl.handle.net/1721.1/5843

@TREE

num_states=7
num_neighbors=4
num_nodes=29
1 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1
1 2 2 2 2 2 2 2
1 3 3 3 3 3 3 3
1 4 4 4 4 4 4 4
1 5 5 5 5 5 5 5
1 6 6 6 6 6 6 6
2 0 1 2 3 4 5 6
2 1 2 3 4 5 6 0
2 2 3 4 5 6 0 1
2 3 4 5 6 0 1 2
2 4 5 6 0 1 2 3
2 5 6 0 1 2 3 4
2 6 0 1 2 3 4 5
3 7 8 9 10 11 12 13
3 8 9 10 11 12 13 7
3 9 10 11 12 13 7 8
3 10 11 12 13 7 8 9
3 11 12 13 7 8 9 10
3 12 13 7 8 9 10 11
3 13 7 8 9 10 11 12
4 14 15 16 17 18 19 20
4 15 16 17 18 19 20 14
4 16 17 18 19 20 14 15
4 17 18 19 20 14 15 16
4 18 19 20 14 15 16 17
4 19 20 14 15 16 17 18
4 20 14 15 16 17 18 19
5 21 22 23 24 25 26 27

@COLORS

1 56 32 16
2 104 80 56
3 120 120 72
4 168 120 104
5 200 168 120
6 216 176 168
Last edited by Βεν Γ. Κυθισ on February 5th, 2019, 4:21 pm, edited 1 time in total.
Sorry, some of my rules before April 20 2019 have Unicode characters that are not compatible with Golly; you will have to remove them when pasting them in your text editor.
If for some reason you needed to know, my PGP key ID is DB271923.

Βεν Γ. Κυθισ

Posts: 217
Joined: December 27th, 2018, 5:42 am

### Re: 2D Replicator Classes

Βεν Γ. Κυθισ wrote:I think this is a large version of some class-S replicator, but it has the property of making larger versions of itself so I dunno:
x = 241, y = 245, rule = 1/1/5
232.A7.A\$233.3B.3B\$233.BCB.BCB\$233.2B3D2B\$232.A2.D.D2.A\$235.2D2\$235.
2D\$224.A10.D.D2.A\$225.3B.3B.2B3D2B\$225.BCB.BCB.BCB.BCB\$225.2B3D2B.3B.
3B\$224.A2.D.D10.A\$227.2D2\$227.2D\$216.A7.A2.D.D2.A7.A\$217.3B.3B3.3D3.
3B.3B\$217.BCB.BCB9.BCB.BCB\$217.2B3D2B3.3D3.2B3D2B\$216.A2.D.D2.A2.D.D
2.A2.D.D2.A\$219.2D7.2D5.2D2\$219.2D7.2D5.2D\$208.A10.D.D5.D.D5.D.D2.A\$
209.3B.3B.2B3D2B.2B3D2B.2B3D2B\$209.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB\$
209.2B3D2B.3B.3B.3B.3B.3B.3B\$208.A2.D.D26.A\$211.2D2\$211.2D\$200.A7.A2.
D.D18.A7.A\$201.3B.3B3.3D19.3B.3B\$201.BCB.BCB25.BCB.BCB\$201.2B3D2B3.3D
19.2B3D2B\$200.A2.D.D2.A2.D.D18.A2.D.D2.A\$203.2D7.2D21.2D2\$203.2D7.2D
21.2D\$192.A10.D.D2.A2.D.D10.A10.D.D2.A\$193.3B.3B.2B3D2B3.3D11.3B.3B.
2B3D2B\$193.BCB.BCB.BCB.BCB17.BCB.BCB.BCB.BCB\$193.2B3D2B.3B.3B3.3D11.
2B3D2B.3B.3B\$192.A2.D.D10.A2.D.D10.A2.D.D10.A\$195.2D15.2D13.2D2\$195.
2D15.2D13.2D\$184.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A\$185.3B.3B3.3D
3.3B.3B3.3D3.3B.3B3.3D3.3B.3B\$185.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB\$
185.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B\$184.A2.D.D2.A2.D.D2.A
2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A\$187.2D7.2D5.2D7.2D5.2D7.2D5.
2D2\$187.2D7.2D5.2D7.2D5.2D7.2D5.2D\$176.A10.D.D5.D.D5.D.D5.D.D5.D.D5.D
.D5.D.D2.A\$177.3B.3B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B
\$177.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB\$
177.2B3D2B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B\$176.A2.D.D58.A\$
179.2D2\$179.2D\$168.A7.A2.D.D50.A7.A\$169.3B.3B3.3D51.3B.3B\$169.BCB.BCB
57.BCB.BCB\$169.2B3D2B3.3D51.2B3D2B\$168.A2.D.D2.A2.D.D50.A2.D.D2.A\$
171.2D7.2D53.2D2\$171.2D7.2D53.2D\$160.A10.D.D2.A2.D.D42.A10.D.D2.A\$
161.3B.3B.2B3D2B3.3D43.3B.3B.2B3D2B\$161.BCB.BCB.BCB.BCB49.BCB.BCB.BCB
.BCB\$161.2B3D2B.3B.3B3.3D43.2B3D2B.3B.3B\$160.A2.D.D10.A2.D.D42.A2.D.D
10.A\$163.2D15.2D45.2D2\$163.2D15.2D45.2D\$152.A7.A2.D.D2.A7.A2.D.D34.A
7.A2.D.D2.A7.A\$153.3B.3B3.3D3.3B.3B3.3D35.3B.3B3.3D3.3B.3B\$153.BCB.BC
B9.BCB.BCB41.BCB.BCB9.BCB.BCB\$153.2B3D2B3.3D3.2B3D2B3.3D35.2B3D2B3.3D
3.2B3D2B\$152.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D34.A2.D.D2.A2.D.D2.A2.D.D
2.A\$155.2D7.2D5.2D7.2D37.2D7.2D5.2D2\$155.2D7.2D5.2D7.2D37.2D7.2D5.2D\$
144.A10.D.D5.D.D5.D.D2.A2.D.D26.A10.D.D5.D.D5.D.D2.A\$145.3B.3B.2B3D2B
.2B3D2B.2B3D2B3.3D27.3B.3B.2B3D2B.2B3D2B.2B3D2B\$145.BCB.BCB.BCB.BCB.B
CB.BCB.BCB.BCB33.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB\$145.2B3D2B.3B.3B.3B.
3B.3B.3B3.3D27.2B3D2B.3B.3B.3B.3B.3B.3B\$144.A2.D.D26.A2.D.D26.A2.D.D
26.A\$147.2D31.2D29.2D2\$147.2D31.2D29.2D\$136.A7.A2.D.D18.A7.A2.D.D18.A
7.A2.D.D18.A7.A\$137.3B.3B3.3D19.3B.3B3.3D19.3B.3B3.3D19.3B.3B\$137.BCB
.BCB25.BCB.BCB25.BCB.BCB25.BCB.BCB\$137.2B3D2B3.3D19.2B3D2B3.3D19.2B3D
2B3.3D19.2B3D2B\$136.A2.D.D2.A2.D.D18.A2.D.D2.A2.D.D18.A2.D.D2.A2.D.D
18.A2.D.D2.A\$139.2D7.2D21.2D7.2D21.2D7.2D21.2D2\$139.2D7.2D21.2D7.2D
21.2D7.2D21.2D\$128.A10.D.D2.A2.D.D10.A10.D.D2.A2.D.D10.A10.D.D2.A2.D.
D10.A10.D.D2.A\$129.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B3.3D11.3B.3B.2B3D2B
3.3D11.3B.3B.2B3D2B\$129.BCB.BCB.BCB.BCB17.BCB.BCB.BCB.BCB17.BCB.BCB.B
CB.BCB17.BCB.BCB.BCB.BCB\$129.2B3D2B.3B.3B3.3D11.2B3D2B.3B.3B3.3D11.2B
3D2B.3B.3B3.3D11.2B3D2B.3B.3B\$128.A2.D.D10.A2.D.D10.A2.D.D10.A2.D.D
10.A2.D.D10.A2.D.D10.A2.D.D10.A\$131.2D15.2D13.2D15.2D13.2D15.2D13.2D
2\$131.2D15.2D13.2D15.2D13.2D15.2D13.2D\$120.A7.A2.D.D2.A7.A2.D.D2.A7.A
2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A2.D.D2.A7.A\$121.3B.3B3.3D
3.3B.3B3.3D3.3B.3B3.3D3.3B.3B3.3D3.3B.3B3.3D3.3B.3B3.3D3.3B.3B3.3D3.
3B.3B\$121.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.BCB9.BCB.B
CB9.BCB.BCB\$121.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B3.3D3.2B3D
2B3.3D3.2B3D2B3.3D3.2B3D2B3.3D3.2B3D2B\$120.A2.D.D2.A2.D.D2.A2.D.D2.A
2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D2.A2.D.D
2.A2.D.D2.A2.D.D2.A2.D.D2.A\$123.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D5.2D7.
2D5.2D7.2D5.2D7.2D5.2D2\$123.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D5.2D7.2D5.
2D7.2D5.2D7.2D5.2D\$112.A10.D.D5.D.D5.D.D5.D.D5.D.D5.D.D5.D.D5.D.D5.D.
D5.D.D5.D.D5.D.D5.D.D5.D.D5.D.D2.A\$113.3B.3B.2B3D2B.2B3D2B.2B3D2B.2B
3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.2B3D2B.
2B3D2B.2B3D2B\$113.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB.BCB
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!

1/1/5 has been mentioned multiple times.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2343
Joined: January 27th, 2019, 5:54 pm
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### Re: 2D Replicator Classes

yes I know
Sorry, some of my rules before April 20 2019 have Unicode characters that are not compatible with Golly; you will have to remove them when pasting them in your text editor.
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Βεν Γ. Κυθισ

Posts: 217
Joined: December 27th, 2018, 5:42 am

### Re: 2D Replicator Classes

A triangle replicator in a hexagonal rule:

x = 4, y = 4, rule = B2o3op4m5/S13m4p6H
2bo\$bobo\$o2bo\$b2o!
AlephAlpha

Posts: 32
Joined: October 6th, 2017, 1:50 am

### Re: 2D Replicator Classes

A class U dot replicator. It starts off looking fairly regular but it quickly becomes apparent that this is unlike any of the sawtooth replicators. The central site is alive in generations 1, 4 and 16 - I don't believe it will ever become alive again after that.

x = 1, y = 1, rule = B14c/S
o!

Edit: With B2c instead of B4c I think this also qualifies as class U, but less interesting (IMO).

x = 1, y = 1, rule = B12c/S
o!

Edit 2: And I'm not quite sure what to think of this one:

x = 1, y = 1, rule = B12c4c/S
o!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1238
Joined: August 9th, 2013, 12:45 am

### Re: 2D Replicator Classes

wildmyron wrote:A class U dot replicator. It starts off looking fairly regular but it quickly becomes apparent that this is unlike any of the sawtooth replicators. The central site is alive in generations 1, 4 and 16 - I don't believe it will ever become alive again after that.

x = 1, y = 1, rule = B14c/S
o!

The rule B1c2a/S3a8 behaves in the same way (and grows twice as fast) if you use a block instead, and both rules are simulating some margolus neighborhood rule.
x = 2, y = 2, rule = B1c2a/S3a8
2o\$2o!
Sorry, some of my rules before April 20 2019 have Unicode characters that are not compatible with Golly; you will have to remove them when pasting them in your text editor.
If for some reason you needed to know, my PGP key ID is DB271923.

Βεν Γ. Κυθισ

Posts: 217
Joined: December 27th, 2018, 5:42 am

### Re: 2D Replicator Classes

Βεν Γ. Κυθισ wrote:
wildmyron wrote:A class U dot replicator. It starts off looking fairly regular but it quickly becomes apparent that this is unlike any of the sawtooth replicators. The central site is alive in generations 1, 4 and 16 - I don't believe it will ever become alive again after that.

x = 1, y = 1, rule = B14c/S
o!

The rule B1c2a/S3a8 behaves in the same way (and grows twice as fast) if you use a block instead, and both rules are simulating some margolus neighborhood rule.
x = 2, y = 2, rule = B1c2a/S3a8
2o\$2o!

It starts off similar, but it quickly diverges. I'm not sure why you say it grows twice as fast, to me it seems to take twice as long to reach the corresponding configurations (e.g. compare gen 6 of the dot rep with gen 12 of the block rep). It's also (very) dirty, so therefore not class U. It's so chaotic I'm not even sure how it should be classified (class D?).
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1238
Joined: August 9th, 2013, 12:45 am

### Re: 2D Replicator Classes

Bump
GUYTU6J, in 2017, wrote:
x = 4, y = 4, rule = B2ik3aeikr4ceijqry78/S23-a4city78
b3o\$o2bo\$o\$2o!

x = 4, y = 4, rule = B3-j4ew8/S2-cn3
bo\$2o\$b3o\$2bo!

x = 3, y = 4, rule = B34ity8/S2-n3-ac4cit6c
bo\$obo\$3o\$bo!

What class do these three fit into? Is the first class-U? Is it identical to what muzik provided?
muzik wrote:Do these two class-U replicators follow an identical replication sequence? I'm finding it difficult to figure out.
x = 5, y = 6, rule = B35a6ae78/S23
2bo\$b3o\$o3bo\$obobo\$bobo\$2bo!

x = 7, y = 7, rule = B2-ek/S
obo2\$obo2\$4bobo2\$4bobo!

EDIT: Some browsing lead me to the second reply from bottom by toroidalet on the first page of this thread, which contains this
x = 3, y = 2, rule = B34ek5-ey7e8/S234j
3o\$bo!

That's similar to my second pattern above.
Last edited by GUYTU6J on August 28th, 2019, 10:10 am, edited 2 times in total.
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GUYTU6J

Posts: 670
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

### Re: 2D Replicator Classes

For my 2017 pattern, the first few numbers of copies for every 79 gen are
1,2,4,4,4,8,8,8,16,16,8,8,16,16,16,32,32

Muzik's first pattern starts from a r-pentomino actually:
x = 3, y = 3, rule = B35a6ae78/S23
b2o\$2o\$bo!
#C [[ STEP 53 ]]

1,2,4,8,8,8,8,8,16,32,16,8,16,32,32,32,32

Muzik's second pattern starts from a blinker actually:
x = 1, y = 3, rule = B2-ek/S
o\$o\$o!
#C [[ STEP 4 ]]

1,4,4,4,16,4,16,16,16,36,16,36,64,4,16,16,16
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

Posts: 670
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

### Re: 2D Replicator Classes

???
x = 4, y = 3, rule = B35k6in7c/S2-i3-a4iy
2bo\$b3o\$2obo!

EDIT: Wait, it's not two-dimensional.
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!

Hdjensofjfnen

Posts: 1297
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

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