Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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wwei47
Posts: 2273
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 23rd, 2021, 6:57 pm

(3,1)c/3 frontend. Partial rule: pB1c-e2-a345678/S012345678|pB1c-e2a345678/S012345678|pB2ac3-i45678/S012345678

Code: Select all

x = 5, y = 1, rule = test
A2.2A!
@RULE test
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,0,2,0,0,0,0,0,0,3
0,2,2,0,0,0,0,0,0,3
0,3,3,0,0,0,0,0,0,1
0,0,3,0,0,0,0,0,3,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
EDIT: Completed (3,1)c/3:

Code: Select all

x = 5, y = 3, rule = B1c3nr_S_B1c2a4ny_S_B2ac3r_S
A2.2A2$3.A!
@RULE B1c3nr_S_B1c2a4ny_S_B2ac3r_S
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,0,2,0,0,0,0,0,0,3
0,2,2,0,0,0,0,0,0,3
0,3,3,0,0,0,0,0,0,1
0,0,3,0,0,0,0,0,3,1
0,1,1,0,0,1,0,0,0,2
0,1,1,0,1,0,0,0,0,2
0,2,2,0,2,0,2,0,0,3
0,0,2,0,2,2,2,0,0,3
0,3,3,0,0,3,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 2: By Muzik, a (4,2)c/4:
https://conwaylife.com/forums/viewtopic ... 561#p34734
EDIT 3: That's actually (4,1)c/4.
Edit 4: I mean (2,1)c/4. Anyways, with B0, LLS finds a (7,1)c/8 in less than 11 seconds with four cells.

Code: Select all

$ ./lls -S kissat -s p8 x7 y1 -p ">1" -b 10 10 -r pB0c12345678/S012345678

Getting search pattern...
Done

Preprocessing...
Done

Number of undetermined cells: 517
Number of variables: 695
Number of clauses: 295826

Active width: 10
Active height: 10
Active duration: 9

Solving...
Done

Time taken: 10.5927140713 seconds

x = 12, y = 12, rule = B01c2-ai3kqry4ijktz5ikqry7e/S01e2-kn3ikqr4acw6ac
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbobbbbbbbb$
bboobbbbbbbb$
bbbbbbbbbbbb$
bbbobbbbbbbb$
bbobbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb!

Code: Select all

x = 12, y = 12, rule = B01c2-ai3kqry4ijktz5ikqry7e/S01e2-kn3ikqr4acw6ac
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbobbbbbbbb$
bboobbbbbbbb$
bbbbbbbbbbbb$
bbbobbbbbbbb$
bbobbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb$
bbbbbbbbbbbb!
Edit 5: Miscounted, actually 5.
Edit 6: The (3,1)c/3s have flotillas and a tagalong!

Code: Select all

x = 73, y = 6, rule = B1c3nr_S_B1c2a4ny_S_B2ac3r_S
22.A26.A2$3.A19.A22.A2.2A20.A$43.A19.A$A2.2A15.A2.2A43.A2.2A$40.A2.2A
15.A2.2A!
@RULE B1c3nr_S_B1c2a4ny_S_B2ac3r_S
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,0,2,0,0,0,0,0,0,3
0,2,2,0,0,0,0,0,0,3
0,3,3,0,0,0,0,0,0,1
0,0,3,0,0,0,0,0,3,1
0,1,1,0,0,1,0,0,0,2
0,1,1,0,1,0,0,0,0,2
0,2,2,0,2,0,2,0,0,3
0,0,2,0,2,2,2,0,0,3
0,3,3,0,0,3,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 7: (4,1)c/4 frontend:

Code: Select all

x = 12, y = 5, rule = B13i/SHistory|B2ac/SHistory
.D.5D.D.D4$A.5A.A.A!
Edit 8: I stabilized a second row!

Code: Select all

x = 14, y = 10, rule = B12i3i/S1e2aHistory|B2aci/S2a4aHistory
.D.5D.D.D$.D6.D2.D3$A.5A.A.A$A6.A2.A!
Edit 9: I think this partial is better.

Code: Select all

x = 14, y = 8, rule = B12ik3ai4ar/S1e2aen3a4qHistory|B2aci3e4n5aj/S2a3q4ajntHistory
3.D.5D.D.D$3.D2.D3.D2.D$.2D$.2D$2.A.5A.A.A$2.A2.A3.A2.A$2A$2A!
Edit 10: Getting closer?

Code: Select all

x = 18, y = 10, rule = B12en3aei4aq5jq/S1e2ceHistory|B2ac3aej4t5e6a/S2a3aijq5rHistory
5.D.5D.D.D$5.D.D.D2.D2.D$7.4D$9.D$.2D.A.5A.A.A.2D$.2D.A.A.A2.A2.A.2D$
6.4A$8.A$2A13.2A$2A13.2A!
Edit 11: I'm either nowhere near close, or I'm very close.

Code: Select all

x = 18, y = 10, rule = B12en3aei4q5jq/S1e2ce3iHistory|B2ac3aej4t5e6a/S2a3aijq5rHistory
5.D.5D.D.D$5.D.D.D2.D2.D$7.4D$9.D$.2D.A.5A.A.A.2D$.2D.A.A.A2.A2.A.2D$
6.4A$8.A$2A13.2A$2A13.2A!
Edit 12: The back is partially detached!

Code: Select all

x = 18, y = 10, rule = B12en3aei4nq5aijq/S1e2cei3iHistory|B2ac3aej4t5e6a/S2a3aijqy5rHistory
5.D.5D.D.D$5.D.D.D2.D2.D$7.4D$9.D$.2D.A.3A2C.A.A.2D$.2D.A.A.A2.A2.A.2D
$6.4A$8.A$2A6.2A5.2A$2A13.2A!
Now, I need to make sure that this thing doesn't get too large, or else I'll run out of transitions to use.
Edit 13: This looks just a little bit closer.

Code: Select all

x = 18, y = 10, rule = B12en3aeiy4nq5ijq/S1e2cei3iqHistory|B2ac3aej4t5e6a/S2a3aijqy5rHistory
5.D.5D.D.D$5.D.D.D2.D2.D$7.4D$9.D$.2D.A.3A2C.A.A.2D$.2D.A.A.A2.A2.A.2D
$6.4A$8.A$2A6.2A5.2A$2A13.2A!
Edit 14: A surprising amount of this crystallizes into P4.

Code: Select all

x = 12, y = 6, rule = B12e3i/S2ae3nrHistory|B2ac4r/S2aikHistory
.D.5D.D.D$.2D2.D2.D.2D3$A.5A.A.A$2A2.A2.A.2A!
Edit 15: For some reason, I can more easily get good partials when working in the B2a reference frame, rather than in the B1c reference frame.
Edit 16: I have no idea how I forgot to paste in the RLE, but this is two cells off:

Code: Select all

x = 13, y = 9, rule = B2ac3cer4jy5e/S1e2aei3n4akrwHistory|B13inr5k/S1e2ae4zHistory
2A2.3A2.A.2A$.A.5B.B2A$.3B.4B.A$A4.B.2BA2.A$2B9.B$4B3.4BAB$4B3.3BAB$.
A2.5BA2B$3.A4.A!
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

AforAmpere
Posts: 1404
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » April 27th, 2021, 3:44 am

Crazy sqrt growth:

Code: Select all

x = 3, y = 1, rule = B2-ck3c4ity5c6ci/S01e2e3nry4aeinqrt5-aekq6ace7e8
obo!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.

User avatar
wwei47
Posts: 2273
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 27th, 2021, 10:55 am

(4,2)c/4 frontend:

Code: Select all

x = 4, y = 1, rule = test
2A.A!
@RULE test
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,1,2
0,0,2,0,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,0,0,0,0,0,0,0,4
0,4,0,0,0,0,0,0,0,1
0,0,4,0,0,0,0,0,4,1
0,4,4,0,0,0,0,0,4,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
EDIT: Completed (4,2)c/4:

Code: Select all

x = 4, y = 3, rule = B1c2cS_B1c2iS_B12ek3cy4iS1_B1e2c3iS3i4ij6i
2A.A$A2.A$.2A!
@RULE B1c2cS_B1c2iS_B12ek3cy4iS1_B1e2c3iS3i4ij6i
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,1,2
0,0,2,0,0,0,0,0,0,3
0,2,0,0,0,2,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,0,0,0,0,0,0,0,4
3,0,3,0,0,0,0,0,0,4
0,3,0,0,3,0,0,0,0,4
0,3,3,0,3,3,0,0,0,4
0,0,3,0,3,0,3,0,0,4
0,3,0,3,0,0,0,0,0,4
3,3,0,0,0,0,0,0,0,4
0,3,0,0,3,0,3,0,0,4
0,4,0,0,0,0,0,0,0,1
0,0,4,0,0,0,0,0,4,1
0,4,4,0,0,0,0,0,4,1
4,0,4,4,4,0,0,0,0,1
4,4,4,0,4,4,0,0,0,1
4,4,4,0,0,4,0,4,0,1
4,0,4,4,4,0,4,4,4,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 2: (4,3)c/4 frontend:

Code: Select all

x = 4, y = 1, rule = test
2A.A!
@RULE test
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,1,0,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,1,2
0,0,2,0,0,0,0,0,0,3
0,2,0,0,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,0,0,0,0,0,0,0,4
0,4,4,0,0,0,0,0,0,1
0,0,4,0,0,0,0,0,4,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 3: Completed (4,3)c/4:

Code: Select all

x = 4, y = 3, rule = B12c3rS_B12e4aS012a_B12cn3jq7cS2a4n_B2aci4r6nS2a4n
2A.A$A2.A$.2A!
@RULE B12c3rS_B12e4aS012a_B12cn3jq7cS2a4n_B2aci4r6nS2a4n
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,1,0,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,1,2
0,0,2,0,0,0,0,0,0,3
0,2,0,0,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,0,0,0,0,0,0,0,4
0,4,4,0,0,0,0,0,0,1
0,0,4,0,0,0,0,0,4,1
2,2,0,0,0,0,0,0,0,3
0,4,0,0,0,4,0,0,0,1
0,0,3,0,3,0,0,0,0,4
3,3,3,0,0,0,0,0,0,4
0,1,1,0,0,1,0,0,0,2
0,2,2,2,2,0,0,0,0,3
0,0,3,0,0,0,3,0,0,4
2,0,0,0,0,0,0,0,0,3
2,0,2,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,3
0,3,3,0,0,0,3,0,0,4
0,3,3,0,0,0,0,3,0,4
3,0,3,3,3,0,3,0,0,4
0,2,0,2,0,0,0,0,0,3
0,3,3,3,3,3,3,3,0,4
0,4,4,4,0,4,0,0,0,1
0,4,4,4,0,4,4,4,0,1
4,0,4,4,4,0,4,0,0,1
4,4,4,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

AforAmpere
Posts: 1404
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » April 27th, 2021, 7:01 pm

Binary and ternary counters, from 2 cells:

Code: Select all

x = 3, y = 1, rule = B2aei3e4ijkqrtz5cekn6ai8/S01e2en3-acei4-nq5-anry6a7e8
obo!

Code: Select all

x = 3, y = 1, rule = B2aei3cek4-acenz5-ikqr6-n8/S01e2e3cjqry4-cn5-kry6ae7e8
obo!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.

User avatar
wwei47
Posts: 2273
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 27th, 2021, 9:04 pm

I created this rule for a (4,2)c/5 spaceship. I did not expect tagalongs (including P10 tagalongs), a 20c/30 rake and its replicating version, and a 2c/5d replicator. Oh, and a 6c/20 spaceship, as well.

Code: Select all

x = 107, y = 19, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
.A9.2A3.A14.2A18.2A18.2A2.2A24.2A$.A8.A5.A13.A2.A16.A2.A16.A2.2A2.A
22.A5.A$2A8.A2.A.2A13.A2.A16.A2.A16.A2.2A2.A22.A5.A$11.2A18.2A18.2A
18.2A2.2A.2A21.2A2.2A$31.2A3.A19.A20.A2.A$30.A5.A19.A20.A2.A$30.A2.A.
2A18.2A18.2A.2A$31.2A41.A2.A$74.A2.A23.2A$75.2A23.A2.A$100.A2.A$82.2A
17.2A$81.A2.A21.A$81.A2.A21.A$82.2A21.2A$82.2A3.A$81.A5.A$81.A2.A.2A$
82.2A!

@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0

Code: Select all

x = 13, y = 13, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
10.3A$10.3A3$10.3A$10.3A4$.3A$A2.A$A$2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0

Code: Select all

x = 3, y = 6, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
3A$3A3$3A$3A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0

Code: Select all

x = 5, y = 5, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
.2A$A$A3.A$4.A$2.2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0

Code: Select all

x = 4, y = 8, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
.2A$A2.A$A2.A2$.2A2$.A.A$.A.A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
I'll admit that this rule is terribly explosive. But think about it this way: Most of my rules are explosive and create huge expanding blobs. This one is explosive and creates a huge expanding blob but with lots of spaceships around it.
EDIT: Another 20c/30 rake. Wow, this rule spoils me.

Code: Select all

x = 13, y = 20, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
2A$A$A2.A$.3A4$10.3A$10.3A3$10.3A$10.3A4$.3A$A2.A$A$2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 2: !!!

Code: Select all

x = 195, y = 328, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
2A$A$A5.2A$6.A$6.A5.2A$12.A$12.A5.2A$18.A$18.A5.2A$7.2A15.A$7.2A6.2A
7.A$7.2A5.A$10.3A.A3.A$12.A5.A$16.2A$17.2A$9.2A5.A$7.A8.A$7.2A3.3A6.A
$7.2A3.3A6.A$19.2A4$10.A11.A$10.A11.A$11.2A7.2A$24.2A$17.3A6.A$17.3A
2.A3.A$16.A5.A$23.2A$16.A$7.A5.A.A$7.A$7.2A4$28.2A$30.A$26.A3.A$26.A$
27.2A3.2A$34.A$30.A3.A$30.A$31.2A16$44.2A$46.A$7.A34.A3.A$7.A34.A$7.
2A34.2A3.2A$47.A2.A$47.A2.A$48.2A2$43.2A$42.A2.A$42.A2.A$43.2A3.2A$
50.A$46.A3.A$46.A$47.2A3.2A$54.A$50.A3.A$50.A$51.2A3.2A$58.A$54.A3.A$
54.A$55.2A8$60.2A$62.A$7.A50.A3.A$7.A50.A$7.2A50.2A3.2A$66.A$62.A3.A$
62.A$63.2A16$76.2A$78.A$74.A3.A$74.A$75.2A3.2A$79.A2.A$79.A2.A$80.2A
2$75.2A$7.A66.A2.A$7.A66.A2.A$7.2A66.2A3.2A$82.A$78.A3.A$78.A$79.2A3.
2A$86.A$82.A3.A$82.A$83.2A3.2A$90.A$86.A3.A$86.A$87.2A8$92.2A$94.A$
90.A3.A$90.A$91.2A3.2A$98.A$94.A3.A$94.A$95.2A2$7.A$7.A$7.2A12$108.2A
$110.A$106.A3.A$106.A$107.2A3.2A$111.A2.A$111.A2.A$112.2A2$107.2A$
106.A2.A$106.A2.A$107.2A3.2A$114.A$110.A3.A$110.A$111.2A3.2A$118.A$7.
A106.A3.A$7.A106.A$7.2A106.2A3.2A$122.A$118.A3.A$118.A$119.2A8$124.2A
$126.A$122.A3.A$122.A$123.2A3.2A$130.A$126.A3.A$126.A$127.2A10$7.A$7.
A$7.2A4$140.2A$142.A$138.A3.A$138.A$139.2A3.2A$143.A2.A$143.A2.A$144.
2A2$139.2A$138.A2.A$138.A2.A$139.2A3.2A$146.A$142.A3.A$142.A$143.2A3.
2A$150.A$146.A3.A$146.A$147.2A3.2A$154.A$150.A3.A$150.A$151.2A2$7.A$
7.A$7.2A4$156.2A$158.A$154.A3.A$154.A$155.2A3.2A$162.A$158.A3.A$158.A
$159.2A16$172.2A$174.A$7.A162.A3.A$7.A162.A$7.2A162.2A3.2A$175.A2.A$
175.A2.A$176.2A2$171.2A$170.A2.A$170.A2.A$171.2A3.2A$178.A$174.A3.A$
174.A$175.2A3.2A$182.A$178.A3.A$178.A$179.2A3.2A$186.A$182.A3.A$182.A
$183.2A8$188.2A$190.A$7.A178.A3.A$7.A178.A$7.2A178.2A3.2A$194.A$190.A
3.A$190.A$191.2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 3: Another tagalong!

Code: Select all

x = 7, y = 7, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
4.3A$4.A2$4.A$6.A$3A3.A$A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 4: WAIT WAIT

Code: Select all

x = 87, y = 32, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
.A9.2A18.2A18.2A28.2A3.A$.A8.A2.A16.A2.A16.A2.A32.A$2A8.A2.A16.A2.A
16.A2.A29.A.2A$11.2A18.2A18.2A$81.A$81.A$80.2A2$15.2A18.2A18.2A$14.A
2.A16.A2.A16.A2.A$14.A2.A16.A2.A16.A2.A$15.2A18.2A18.2A5$19.2A18.2A
18.2A$18.A2.A16.A2.A16.A2.A$18.A2.A16.A2.A16.A2.A$19.2A18.2A18.2A5$
23.2A3.A14.2A18.2A$22.A5.A13.A2.A16.A2.A$22.A2.A.2A13.A2.A16.A2.A$23.
2A18.2A18.2A$43.2A3.A19.A$42.A5.A19.A$42.A2.A.2A18.2A$43.2A!x = 7, y = 7, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
4.3A$4.A2$4.A$6.A$3A3.A$A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 5: Another tagalong. WHAT?!!!

Code: Select all

x = 14, y = 9, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
.3A$.A2$.A3.2A$A2.2A2.A$A2.2A3.A2.2A$.2A2.A3.2A2.A$6.A2.2A2.A$7.2A2.
2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Over-unity:

Code: Select all

x = 15, y = 9, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
12.A$12.3A5$2A$.A$.A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 6: I got super lucky and was able to put this together-I expected deleting both extra ships to be a hassle but it turns out to be doable-the ship that I added to remove one of the ships happens to delete the other ship as well.

Code: Select all

x = 34, y = 77, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
28.2A$29.A$29.A2$32.2A$32.2A$33.A$30.2A$30.2A5$30.2A$29.A$27.A.A3.A$
28.A4.A$25.A5.2A$26.A3$24.2A$26.A$6.A19.A$6.3A14.A$23.2A3.2A$28.2A4$
13.2A$14.A$14.A$19.A$19.A$19.2A$2A17.2A.A$.A17.2A.A$.A17.2A2.2A10$29.
2A$31.A$27.A3.A$27.A$28.2A4$13.2A$15.A$11.A3.A$11.A$12.2A12$29.2A$31.
A$27.A3.A$27.A$28.2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
P15 rake:

Code: Select all

x = 19, y = 33, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
5.2A2.2A$5.2A.A$5.2A.A$5.2A$5.A$5.A3$16.A$16.3A4$12.2A4.A$13.A4.A$6.
2A2.A6.2A$11.A3.A.2A$15.A.2A$13.2A2.2A6$.A3.2A$.A3.2A$.2A2.2A2$6.A$6.
A$A5.2A8.A$A15.A$2A14.2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 7: P20 rake:

Code: Select all

x = 16, y = 10, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
14.2A2$4.3A5.A$4.3A5.A3$12.A$12.A$3A$A13.2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Edit 8: Lol what

Code: Select all

x = 16, y = 13, rule = B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
A$A$2A3$8.2A$6.A.2A4.A$6.A7.A$4.A9.2A$4.2A$4.2A$8.A$8.2A!
@RULE B2aS_B2aeS_B1c4kS1c_B2e3nS1c_B2aS1e
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,2,0,2,0,0,0,0,0,3
0,0,3,0,0,0,0,0,0,4
0,3,3,0,3,0,0,3,0,4
3,0,3,0,0,0,0,0,0,4
0,4,0,4,0,0,0,0,0,5
0,4,4,0,4,0,0,0,0,5
4,0,4,0,0,0,0,0,0,5
0,5,5,0,0,0,0,0,0,1
5,5,0,0,0,0,0,0,0,1
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

AforAmpere
Posts: 1404
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » April 28th, 2021, 12:21 pm

Appears to grow according to (EDIT, fixed) t^1/3:

Code: Select all

x = 3, y = 43, rule = B2aei3ekn4eikr5-aiqr6i8/S01e3nry4eijrwz5-ekr6c7e8
obo!
Crazy looking binary counter:

Code: Select all

x = 3, y = 1, rule = B2aei3ekn4eijqr5cy6ci/S01e2ek3-einq4acijnrt5eir6e7e8
obo!
Becomes a p92014:

Code: Select all

x = 3, y = 1, rule = B2aei3ejknr4aeirwy5-aikq6eik/S01e2k3ajnry4-wz5cijn6ack7e8
obo!
Appears to count in base 4

Code: Select all

x = 3, y = 59, rule = B2aei3ekn4eijnqr5jny6aci8/S01e2ekn3cjnry4-aeqw5-aqy6ac7e8
obo!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.

User avatar
LaundryPizza03
Posts: 2596
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » April 29th, 2021, 11:40 am

I have not yet found a p2 photon in B0138/S026, but I did find this:

Code: Select all

x = 102, y = 15, rule = B0138/S026:T102,0
6b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o$5bo3bobo3bo6bo3bobo3b
o6bo3bobo3bo6bo3bobo3bo6bo3bobo3bo6bo3bobo3bo$6b2o5b2o8b2o5b2o8b2o5b2o
8b2o5b2o8b2o5b2o8b2o5b2o$6b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o
5b2o$6bo16bo16bo16bo16bo16bo$6b2o5bo9b2o5bo9b2o5bo9b2o5bo9b2o5bo9b2o5b
o$6b2obo3bobo7b2obo3bobo7b2obo3bobo7b2obo3bobo7b2obo3bobo7b2obo3bobo$
2b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o$bo
11bo4bo11bo4bo11bo4bo11bo4bo11bo4bo11bo$2b2o9bobo3b2o9bobo3b2o9bobo3b
2o9bobo3b2o9bobo3b2o9bobo$2b2obo5bo7b2obo5bo7b2obo5bo7b2obo5bo7b2obo5b
o7b2obo5bo$2b2o3bobo9b2o3bobo9b2o3bobo9b2o3bobo9b2o3bobo9b2o3bobo$2b2o
15b2o15b2o15b2o15b2o15b2o$2b2o15b2o15b2o15b2o15b2o15b2o$2bo2bo13bo2bo
13bo2bo13bo2bo13bo2bo13bo2bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

cvojan
Posts: 373
Joined: October 7th, 2018, 7:07 pm
Location: Feel free to delete

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by cvojan » April 29th, 2021, 1:54 pm

LaundryPizza03 wrote:
April 29th, 2021, 11:40 am

Code: Select all

x = 102, y = 15, rule = B0138/S026:T102,0
6b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o$5bo3bobo3bo6bo3bobo3b
o6bo3bobo3bo6bo3bobo3bo6bo3bobo3bo6bo3bobo3bo$6b2o5b2o8b2o5b2o8b2o5b2o
8b2o5b2o8b2o5b2o8b2o5b2o$6b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o5b2o8b2o
5b2o$6bo16bo16bo16bo16bo16bo$6b2o5bo9b2o5bo9b2o5bo9b2o5bo9b2o5bo9b2o5b
o$6b2obo3bobo7b2obo3bobo7b2obo3bobo7b2obo3bobo7b2obo3bobo7b2obo3bobo$
2b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o3b2o2bo7b2o$bo
11bo4bo11bo4bo11bo4bo11bo4bo11bo4bo11bo$2b2o9bobo3b2o9bobo3b2o9bobo3b
2o9bobo3b2o9bobo3b2o9bobo$2b2obo5bo7b2obo5bo7b2obo5bo7b2obo5bo7b2obo5b
o7b2obo5bo$2b2o3bobo9b2o3bobo9b2o3bobo9b2o3bobo9b2o3bobo9b2o3bobo$2b2o
15b2o15b2o15b2o15b2o15b2o$2b2o15b2o15b2o15b2o15b2o15b2o$2bo2bo13bo2bo
13bo2bo13bo2bo13bo2bo13bo2bo!
Photon:

Code: Select all

x = 33, y = 16, rule = B0138/S026
5b2o5b2o$4bo3bobo3bo4b2o5b2o$5b2o5b2o4bo3bobo3bo$5b2o5b2o5b2o5b2o$5bo
13b2o5b2o$5b2o5bo14bo$5b2obo3bobo5bo5b2o$b2o2bo7b2o3bobo3bob2o$o11bo5b
2o7bo2b2o$b2o9bobo5bo11bo$b2obo5bo7bobo9b2o$b2o3bobo13bo5bob2o$b2o21bo
bo3b2o$b2o27b2o$bo2bo25b2o$28bo2bo!

User avatar
wwei47
Posts: 2273
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 29th, 2021, 8:15 pm

LOL

Code: Select all

x = 8, y = 11, rule = B34i5aer6i/S2-i3-k4qy
4b2obo$5b2o2$3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$3b2o
!
EDIT: LOL

Code: Select all

x = 8, y = 11, rule = B34i5aeqr6i/S23-k4qy
4b2obo$5b2o2$3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$3b2o
!
Edit 2: Oops

Code: Select all

x = 8, y = 11, rule = B3/S234jy
4b2obo$5b2o2$3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$3b2o
!
Edit 3: Yay

Code: Select all

x = 8, y = 12, rule = B3-k4kq5aer6i/S2-i3-akq4qty5c6a7e
5bo$5bobo$5b2o2$3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$
3b2o!
Edit 4: By the way, lol:

Code: Select all

x = 8, y = 11, rule = B3-ek/S2-in3-a4y
4b2obo$5b2o2$3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$3b2o
!
Edit 5: Also this:

Code: Select all

x = 8, y = 11, rule = B34in5aer6i/S2-i3-k4qy
4b2obo$5b2o2$3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$3b2o
!
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

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User avatar
ihatecorderships
Posts: 309
Joined: April 11th, 2021, 12:54 pm
Location: Falls Church, VA

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ihatecorderships » April 30th, 2021, 4:55 pm

A "reader" I made in Codd that is 99% complete. A signal comes out of the right if there is a blue cell, otherwise no signal. There is a bug around gen 12000 where instead of retracting the sensing arm, a signal stops it. Changing the rule to Codd2 doesn't work. Could someone fix this?
I made this just by crunching together some patterns in the Self-rep/Codd folder of Golly.

Code: Select all

 x = 458, y = 224, rule = Codd
.304B$B304AB$BA302BAB$BAB300.BAB$BAB300.BAB$BAB300.BAB$BAB300.BAB$BAB
300.BAB$BAB300.BAB$BAB300.BAB$BAB300.BAB$BA302BAB$B297AG.5AB$.303BAB$
303.BAB$303.BAB$303.BAB$303.B.B$303.BGB$303.BAB$303.BAB$303.BAB$303.B
AB$303.BAB$303.BAB$303.BAB$8.296BAB$7.B297AB$7.BA9BA171BA9BA9BA9BA9BA
9BA9BA9BA9BA9BA9BA9BA4B$6.2BAB7.BAB169.BAB7.BAB6.2BAB7.BAB7.BAB7.BAB
6.2BAB7.BAB6.2BAB6.2BAB6.2BAB7.BAB$5.B3AB5.3BAB167.3BAB5.3BAB5.B3AB5.
3BAB6.2BAB6.2BAB5.B3AB5.3BAB5.B3AB5.B3AB5.B3AB5.3BAB$3.3BABAB4.B4AB
166.B4AB4.B4AB3.3BABAB4.B4AB5.B3AB5.B3AB3.3BABAB4.B4AB3.3BABAB3.3BABA
B3.3BABAB4.B4AB$2.B6AB4.BA2BAB166.BA2BAB4.BA2BAB2.B6AB4.BA2BAB.5BABAB
.5BABAB2.B6AB4.BA2BAB2.B6AB2.B6AB2.B6AB4.BA2BAB$2.BABA2BAB.4BA2BAB
166.BA2BAB4.BA2BAB2.BABA2BAB.4BA2BA2B8A2B8AB2.BABA2BAB4.BA2BAB2.BABA
2BAB2.BABA2BAB2.BABA2BAB.4BA2BAB$.2B3A2BA2B8AB163.4BA2BAB.4BA2BAB.2B
3A2BA2B8A2BABA4BA2BABA4BAB.2B3A2BAB.4BA2BAB.2B3A2BAB.2B3A2BAB.2B3A2BA
2B8AB$B3A2B.BA2BA6BAB162.B5A2BA2B5A2BA2B3A2B.BA2BA6BA2B3AB2.BA2B3AB2.
BA2B3A2B.BA2B5A2BA2B3A2B.BA2B3A2B.BA2B3A2B.BA2BA6BAB$BABAB2.BA2BAB4.B
AB162.BA4B.BA2BA4B.BA2BABAB2.BA2BAB4.BA2BA2B3.BA2BA2B3.BA2BABAB2.BA2B
A4B.BA2BABAB2.BA2BABAB2.BA2BABAB2.BA2BAB4.BAB$B3AB2.BA2BAB4.BAB162.BA
B4.BA2BAB4.BA2B3AB2.BA2BAB4.BA2BAB4.BA2BAB4.BA2B3AB2.BA2BAB4.BA2B3AB
2.BA2B3AB2.BA2B3AB2.BA2BAB4.BAB$BA4B.BA2BAB.2B.BAB162.BAB.2B.BA2BAB.
2B.BA2BA4B.BA2BAB.2B.BA2BAB.2B.BA2BAB.2B.BA2BA4B.BA2BAB.2B.BA2BA4B.BA
2BA4B.BA2BA4B.BA2BAB.2B.BAB$BA2B2A2BA2BA2B2A2BAB162.BA2B2A2BA2BA2B2A
2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B
2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BAB$BA2BAB.BA2BA2BAB.BAB162.BA2BAB.B
A2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.
BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BAB$BA2BA3BA2BA2BA3BAB162.BA
2BA3BA2BA2BA3BA2BA2BA3BA2BA2BA3BA2BA2BA3BA2BA2BA3BA2BA2BA3BA2BA2BA3BA
2BA2BA3BA2BA2BA3BA2BA2BA3BA2BA2BA3BAB$BA2B5A2BA2B5AB162.BA2B5A2BA2B5A
2BA2B5A2BA2B5A2BA2B5A2BA2B5A2BA2B5A2BA2B5A2BA2B5A2BA2B5A2BA2B5A2BA2B
5AB$BAB.BA2BA2BAB.BA2BAB162.BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2B
AB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA
2BAB.BA2BAB$BAB.BA2BA2BAB.BA2BAB162.BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB
.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BAB.BA2BA2BA
B.BA2BA2BAB.BA2BAB$BA2B2A2BA2BA2B2A2BAB162.BA2B2A2BA2BA2B2A2BA2BA2B2A
2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B2A2BA2BA2B
2A2BA2BA2B2A2BA2BA2B2A2BAB$BAB.2B2.B.BAB.2B2.B163.BAB.2B2.B.BAB.2B2.B
.BAB.2B2.B.BAB.2B2.B.BAB.2B2.B.BAB.2B2.B.BAB.2B2.B.BAB.2B2.B.BAB.2B2.
B.BAB.2B2.B.BAB.2B2.B.BAB.2B2.B$BA9BA171BA9BA9BA9BA9BA9BA9BA9BA9BA9BA
9BA9BA11B$B304AB$.303BAB90.2BA7B$303.BAB89.B10AB$303.BAB83.5B.BA6BABA
B$303.BAB82.B5A2BAB2.B.B4A2B$281.23BA23B60.BA2BAB.BAB.BAB.3B3AB$280.B
47AB59.BAB.B2.BAB.BAB3.BABAB$280.BA15BC29BAB59.BA6BAB.BAB3.B3AB$280.B
AB14.B28.BAB59.B8AB.BA4B.2BAB$280.BAB13.BAB27.BAB60.7BAB.B5AB.BAB$
280.BAB13.BAB27.BAB11.24B31.BAB.BA3BAB.BAB$280.BAB13.BAB27.BAB10.B24A
B30.BAB.BAB.BAB.BAB$280.BAB13.BA27B.BAB10.BA22BAB30.BAB.BA2B2AB.BAB$
280.BAB13.B28ABCAC10.BAB20.B.B30.BA3BAB.2B.2BAB$280.BAB14.22BA5B.BAB
10.BA22BGB30.B5AB3.B3AB$280.BAB35.BAB5.BAB10.B24AB31.4BA5BABAB$280.BA
B35.BAB5.BAB11.23BAB34.B9AB$280.BAB35.BAB5.BAB33.BAB34.BA8B$280.BAB
35.BAB5.BAB33.BAB34.BAB$280.BAB35.BAB5.BAC33.BAB26.9BA57B$280.BAB33.
3BA3B3.BAB33.BA20B7.B65AB$280.BAB32.B7AB2.BAB33.B20AB2.6BA65B$280.BAB
32.BA5BAB2.BAB33.BA18BAB.B7AB4.B$280.BAB32.BAB4.B3.BAB30.2B.BAB16.BAB
.BA6B4.BAB$280.BAB32.BA5BC4BAB29.B2A2BAB16.BAB.BAB9.BA16B$280.BAB32.B
12AB29.BAB.BA4B13.BAB.BAB9.B17AB$280.BAB33.3BA7BAB29.BAB.B5AB12.BAB.B
AB9.BA15BAB$280.BAB35.BAB5.BAB29.BA3BA3BAB12.BAB.BAB9.BAB2.B10.BAB$
280.BAB36.B6.BAB29.B5AB.BAB12.BAB.BAB9.BAB.BAB9.BAB$280.BAB32.4BC7BAB
30.4BAB.BAB12.BAB.BAB6.4BAB.BAB9.BAB$280.BAB31.B13AB33.BA2B2AB12.BAB.
BAB5.B5AB.BA4B6.BAB$280.BAB31.BA3BC7BAB33.BAB.2B13.BAB.BAB5.BA3BAB.B
5AB5.BAB$280.BAB31.BAB2.B6.BAB33.BAB16.BAB.BAB2.2B.BAB.BAB.BA3BAB5.BA
B$280.BAB31.BAB.BAB5.BAB33.BA16B.BAB.BAB.B2A2BAB.BAB.BAB.BAB5.BAB$
280.BAB31.BAB.BA4B2.BAB33.B17A2BAB.BAB.BAB.BAB.BAB.BAB.BAB5.BAB$280.B
AB31.BAB.B5AB.BAB33.BA13BA2B.BAB.BAB.BAB.BAB.BAB.BA2B2AB5.BAB$280.BAB
31.BAB.BA3BAB.BAB33.BAB11.BAB2.BAB.BAB.BA3BAB.BAB.BAB.2B6.BAB$280.BAB
31.BAB.BAB2.B2.BAB33.BA11B.BAB2.BAB.BAB.B6A2BAB.BAB9.BAB$280.BAB31.BA
B.BA3BC3BAB33.B12A2BAB2.BAB.BAB2.6B.BA3BA11BAB$280.BAB31.BAB.B9AB33.B
A7BA3B.BAB2.BAB.BAB9.B17AB$280.BAB31.BAB2.9B34.BAB2.B2.BAB3.BAB2.BAB.
BAB9.BA16B$280.BAB31.BAB45.BAB.BAB.BAB3.BAB2.BAB.BAB9.BAB$280.BAB31.B
AB45.BAB.BA3BAB3.BA4BA3BA11BAB$280.BAB31.BAC45.BAB.B5AB3.B22AB$280.BA
B31.BAB45.BAB2.5B5.23B$280.BAB31.BAB45.BAB23.B$280.BAB31.BA10B36.BA4B
19.BAB$280.BAB31.B11AB35.B5AB18.BA26B$280.BAB31.BA9BAB35.BA3BAB18.B
27AB$280.BA2B30.BAB7.BAB35.BAB.BAB18.BA25BAB$280.B3AB29.BAB7.BAB31.3B
.BAB.BAB18.BAB2.B20.BAB$281.2BAB29.BAB7.BAB30.B3A2BAB.BAB18.BAB.BAB
19.BAB$282.BAB28.2BA2B5.2BAB30.BA2B.BAB.BAB15.4BAB.BAB9.11BAB$282.BAB
27.B5AB3.B3AB30.BAB2.BAB.BAB14.B5AB.BA4B5.B12AB$282.BAB27.BA3BAB3.BA
2B31.BA4BAB.BAB14.BA3BAB.B5AB4.BA11B$269.14BAB27.BAB.BAB3.BAB32.B6AB.
BAB11.2B.BAB.BAB.BA3BAB4.BAB$268.B15AB27.BA3BAB3.BA2B32.5BAB.BAB10.B
2A2BAB.BAB.BAB.BAB4.BA11B$268.BA14B28.B5AB3.B3AB35.BAB.BAB10.BAB.BAB.
BAB.BAB.BAB4.B12AB$268.BAB42.2BA2B5.2BAB35.BAB.BAB10.BAB.BAB.BAB.BA2B
2AB5.11BAB$268.BAB43.BAB7.BAB36.B2.BAB10.BA3BAB.BAB.BAB.2B16.BAB$262.
7BA45BA9BA41BAB10.B6A2BAB.BAB19.BAB$261.B106AB11.6B.BA3BA21BAB$261.BA
97BA7B19.B27AB$261.BAB95.BAB25.BA26B$261.BAB95.BA27BAB$261.BAB95.B29A
B$261.BAB95.30B$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.B
AB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$
261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.B
AB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$
261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.B
AB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$261.BAB$
261.BAB$261.BAB$260.B2AB$259.A.2B3$259.A4$259.A2$259.A$259.A2$259.A2$
259.A$259.A2$259.A$259.A$259.A2$259.A$259.A$259.A$259.A5$259.A$259.A
2$259.A$259.A2$259.A4$259.A$259.A$259.A$259.A$259.A$259.A$259.A4$259.
A3$259.A2$259.A$259.A$259.A!
-- Kalan Warusa
Don't drink and drive, think and derive.

User avatar
wwei47
Posts: 2273
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 30th, 2021, 10:03 pm

Francisco, your rake is amazing. I put together a smaller one for you. Side-by-side comparison:

Code: Select all

x = 139, y = 1188, rule = 23/3/3
37.3A9.3A26.A11.A$36.A2BA9.A2BA24.3A9.3A$36.AB2.BA5.AB2.BA23.A2.2A7.
2A2.A$38.A2BA5.A2BA25.B4.B5.B4.B$38.A2BA5.A2BA26.AB2.2A3.2A2.BA$78.B
2.B5.B2.B$42.2A.2A35.A3.A$41.A.A.A.A34.2A.2A$41.A.A.A.A33.A.A.A.A$40.
2A.A.A.2A6.3A23.A.A.A.A$41.B.A.A.B7.A2BA11.3A7.2A.A.A.2A$19.3A9.3A6.
2A.A.A.2A4.AB2.BA10.A2BA10.A.A$19.A2BA7.A2BA6.A2.A.A2.A4.A2BA12.AB2.B
A5.2A.A.A.2A$18.BA.2A7.2A.AB5.A2BA.A2BA4.A2BA14.A2BA5.2A.A.A.2A$22.A
7.A10.2A3.2A23.A2BA8.B.B$19.B3.2B3.2B3.B$24.A3.A$24.2A.2A49.A.2A5.B$
23.ABA.ABA48.4B$23.A.A.A.A46.AB.3B$13.3A7.A.A.A.A46.AB5AB.2B29.3A9.3A
$13.A2BA5.2A.A.A.2A46.A38.A2BA7.A2BA$12.BA.2A6.A.A.A.A19.2A64.BA.2A7.
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100.2A.A5.3A$101.ABA4.A2.2A$101.3A3.4AB$108.2A3$85.2A$85.2A3$91.2A$
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90.2A$89.A2.A$90.2A5$98.A6.A$97.A.A4.3A$98.2A3.A2.2A$85.2A15.4AB$85.
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88.2A18.3A$107.A2.2A$106.4AB$107.2A5$85.2A$85.2A3$88.2A8.3A$87.A2.A7.
ABA$88.2A7.2A.A$96.2A9.A$97.2A.A5.3A$98.ABA4.A2.2A$98.3A3.4AB$105.2A
3$85.2A$85.2A3$88.2A$87.A2.A$88.2A$98.A$97.A.A$98.2A5.A$104.3A$103.A
2.2A$99.A2.4AB$98.ABA2.2A$85.2A10.A.BA$85.2A11.2A3$88.2A$87.A2.A$88.
2A5$96.A6.A$95.A.A4.3A$96.2A3.A2.2A$85.2A13.4AB$85.2A14.2A$97.2A$96.A
.B$88.2A5.A2.2A$87.A2.A5.3A$88.2A8$85.2A$85.2A3$87.2A5.A11.A$86.A2.A
3.3A9.3A$87.2A3.A2.2A7.2A2.A$92.B4.B5.B4.B$93.AB2.2A3.2A2.BA$94.B2.B
5.B2.B$98.A3.A$98.2A.2A$97.A.A.A.A$97.A.A.A.A$85.2A9.2A.A.A.2A7.3A$
85.2A12.A.A10.A2BA$96.2B.A.A.2B5.AB2.BA$99.A.A8.A2BA$87.2A6.ABA.A.A.A
BA4.A2BA$86.A2.A5.ABA.A.A.AB2AB$87.2A6.A3.A.A3.A.A$95.B3.A.A3.B2AB$
94.A3.2A.2A3.A$94.B11.B5$85.2A$85.2A2$109.A$87.2A19.3A$86.A2.A17.A2.
2A$87.2A14.A2.4AB$102.ABA2.2A$101.A.BA$102.2A5$85.2A$85.2A3$87.2A$86.
A2.A10.A6.A$87.2A10.A.A4.3A$100.2A3.A2.2A$104.4AB$105.2A$101.2A$100.A
.B$99.A2.2A$100.3A$85.2A$85.2A3$87.2A$86.A2.A$87.2A$105.A$104.3A$98.A
4.A2.2A$97.A.BA.4AB$98.3A2.2A$99.A2$85.2A$85.2A11.A$97.A.A2.B$97.AB$
87.2A8.3A$86.A2.A$87.2A3$103.A$102.3A$101.A2.2A$100.4AB$101.2A$85.2A
8.3A$85.2A8.2B$95.ABA$96.AB$87.2A$86.A2.A$87.2A4.3A$93.AB$93.3A$95.B!
EDIT: Smaller P56 rake, but it's still way too large:

Code: Select all

x = 81, y = 496, rule = 23/3/3
9.3A9.3A$9.A2BA7.A2BA$8.BA.2A7.2A.AB$12.A7.A$9.B3.2B3.2B3.B$14.A3.A$
14.2A.2A$13.ABA.ABA$13.A.A.A.A$3.3A7.A.A.A.A$3.A2BA5.2A.A.A.2A$2.BA.
2A6.A.A.A.A$6.A7.A3.A$3.B3.2B3.BA5.AB$13.A5.A$12.B7.B$13.B5.B$10.A$9.
B2A$9.A2.A$9.B.2A$10.2A$8.A.2A$7.A3BA$7.A3BA$9.A6$10.2A$10.A.A$11.A3$
11.2A$11.2A8$10.2A$10.A.A$11.A3$11.2A$11.2A3$3.3A$3.A2BA$2.BA.2A$6.A$
3.B3.B.2A$7.B.A.A$8.2A2.A4.3A$10.2A5.A2BA$11.A3.AB2.BA$12.A2.A2BA$11.
A.3A2BA$11.A.A$12.A9$21.3A$21.A2BA$19.AB2.BA$19.A2BA$13.2A4.A2BA$13.
3BA$11.4B2.B$13.B.A7.3A$10.B2.B.2AB4.A2BA$5.3A5.2A.A5.2A.AB$4.A2BA3.B
AB8.A$4.AB2.BA2.A7.2B3.B$6.A2BA$6.A2BA$12.3A$12.ABA$12.A.2A$10.B.B3.A
$9.A6.3A$10.A.2A2.3A$11.2A.BAB$4.A6.A2.A$3.3A6.B2.A$2.2A2.A6.ABA$3.B
4A5.3A$5.2A3$24.A$23.3A$22.A2.2A$21.4AB$22.2A$14.2A$13.3AB$12.BA$20.B
$11.B.2AB3.3A$12.3A3.A.A$18.2A9$12.3A9.2A$12.A2BA7.A2BA$11.BA.2A8.2A$
15.A8.A$12.B3.2B5.B$24.AB$19.B$19.B2.A$21.2A4$15.A$14.3A$13.A2.2A$13.
B4.B$14.AB2.2A$15.B2.B$24.2A$23.A2.A$23.A.B$21.B.A$20.A2.A$19.A2.A$
20.2A3$10.3A$9.A2BA$9.AB2.BA$11.A2BA$11.A2BA3$20.2A$18.2A.2A$18.4A.A$
18.A3.3A$23.A$20.AB$19.2A$19.B5.A$17.AB2A3.3A$17.A3.3A2.BA$19.A2B2.3A
$19.A4B$22.B.A$22.AB$22.2A3$24.B$22.AB$22.3A$23.A$21.A$20.A.A$19.A2.B
$20.B8$8.3A9.3A$8.A2BA7.A2BA$7.BA.2A7.2A.AB$11.A7.A$8.B3.2B3.2B3.B$
13.A3.A$13.2A.2A$12.ABA.ABA8.2A$12.A.A.A.A7.A.A$2.A9.A.A.A.A7.2A$.3A
7.2A.A.A.2A$A2.2A7.A.A.A.A$B4.B7.2B.2B$.AB2.2A6.2B.2B$2.B2.B8.A.A$13.
B3.B8$12.2A$12.2A$14.A$11.B.B$5.3A3.BA$4.A2BA$4.AB2.BA$6.A2BA$6.A2BA
4$27.2A$26.A.A$15.A10.2A$14.B2A$16.BA$14.B2A$15.A2$7.3A$6.A2BA$6.AB2.
BA$8.A2BA$8.A2BA8$17.2A$17.A.2A$19.2A$17.A.2A$9.3A5.2A$8.A2BA$8.AB2.B
A$10.A2BA$10.A2BA13.2A$26.A.A$26.2A6$20.A$19.ABA$18.2A.B$19.B.ABA$11.
3A8.BA$10.A2BA5.B.ABA$10.AB2.BA2.2A.B$12.A2BA3.ABA$12.A2BA4.A9$24.2A$
24.2A2$21.3A$22.2A$20.A4.B$19.3A3.A$20.A2.2A$21.3A7$21.A$20.A.A$14.A
5.2A$13.3A$12.2A2.A$13.B4A2.A$15.2A2.ABA$19.AB.A36.3A9.3A$20.2A36.A2B
A9.A2BA$58.AB2.BA5.AB2.BA$60.A2BA5.A2BA$60.A2BA5.A2BA2$64.2A.2A$63.A.
A.A.A$63.A.A.A.A$62.2A.A.A.2A6.3A$63.B.A.A.B7.A2BA$16.A24.3A9.3A6.2A.
A.A.2A4.AB2.BA$15.3A23.A2BA7.A2BA6.A2.A.A2.A4.A2BA$14.2A2.A21.BA.2A7.
2A.AB5.A2BA.A2BA4.A2BA$15.B4A24.A7.A10.2A3.2A$17.2A22.B3.2B3.2B3.B$
46.A3.A$46.2A.2A$45.ABA.ABA$45.A.A.A.A$35.3A7.A.A.A.A$35.A2BA5.2A.A.A
.2A$34.BA.2A6.A.A.A.A19.2A$38.A7.A3.A19.A.A$35.B3.2B3.BA5.AB18.A$45.A
5.A$44.B7.B24.3A$18.A26.B5.B18.2A5.A2BA$17.3A22.A27.2A3.AB2.BA$16.2A
2.A4.A15.B2A31.A2BA$17.B4A.AB.A14.A2.A30.A2BA$19.2A2.3A15.B.2A$24.A
17.2A19.3A$40.A.2A19.A2BA$39.A3BA18.BA.2A$25.A13.A3BA22.A$21.B2.A.A
14.A21.B3.2B6.2A$25.BA8.3A36.2A.A$24.3A8.A2BA34.A3.A$34.BA.2A34.2A.A$
38.A35.2A$35.B3.B.2A$39.B.A.A22.ABA.ABA$20.A19.2A2.A4.3A14.ABA.ABA$
19.3A20.2A5.A2BA15.2A.A$18.2A2.A20.A3.AB2.BA$19.B4A20.A2.A2BA$21.2A
20.A.3A2BA8.3A$43.A.A13.A2BA$44.A13.BA.2A$62.A$59.B3.2B3$57.3A$56.A2B
A$56.AB2.BA4.2A7.3A$58.A2BA2.2ABA6.A2BA$58.A2B3A3.A6.2A.AB$22.A40.A.
2A7.A$21.3A40.3A5.2B3.B$20.2A2.A$21.B4A19.3A$23.2A20.2BA6.3A$43.4B2.B
3.A2BA$45.B.A.2A2.2A.AB12.B$42.B2.B.AB2A2.A17.B$45.2A.A2.2B3.B$43.BAB
25.A6.A$44.A24.B3A4.3A$72.A3.2A2.A$31.2A36.2A.A2.B4.B$31.A.A34.A2BA2.
2A2.BA$33.2A33.A2BA3.B2.B$31.A.A30.2A3.A$24.A6.2A25.A5.2A$23.3A31.3A$
22.2A2.A29.A2.2A$23.B4A28.B4.B$25.2A30.AB2.2A$49.2A7.B2.B$48.A2.A$49.
2A4$61.3A$62.BA5.B$61.2A5.A2.B$60.BA2.B3.A2BA$60.A7.ABA$26.A34.B.B$
25.3A$24.2A2.A$25.B4A19.2A$27.2A19.A2.A16.3A$49.2A17.A2BA$66.AB2.BA$
57.3A6.A2BA$56.AB.BA5.A2BA$56.AB.2BA$57.2A2.A$59.2A3$35.A$34.A.A$28.A
5.2A24.2A5.A$27.3A19.2A9.2A4.3A$26.2A2.A17.A2.A13.A2.2A$27.B4A2.A14.
2A13.4AB$29.2A2.ABA29.2A$33.AB.A$34.2A4$57.A$56.A.A$56.A.A$57.A2.3A$
59.A3BA$49.2A7.A2B.BA6.3A$30.A17.A2.A6.A2B2.BA4.A2BA$29.3A17.2A6.2A.
2ABA5.2A.AB$28.2A2.A25.A3.BA5.A$29.B4A25.3A5.2B3.B$31.2A26.3A4$70.3A$
69.A2BA$69.2A.AB$69.A$67.2B3.B$49.2A$48.A2.A$49.2A$32.A$31.3A26.A$30.
2A2.A4.A14.AB3.BAB$31.B4A.AB.A12.A2BAB$33.2A2.3A13.A3.A6.B$38.A14.4A
4.2A.A.A$54.A2.A.A2.2A.2A5.3A$55.A.A.2BA.3A5.A2BA$39.A16.2A.BA10.2A.A
B$35.B2.A.A16.3A11.A$39.BA28.2B3.B$38.3A8.2A$48.A2.A$49.2A3$34.A$33.
3A$32.2A2.A$33.B4A$35.2A$51.2A$51.2A3$49.2A$48.A2.A$49.2A9$42.2A$41.A
2B$41.AB.2A3.2B2.2B$41.2A.2B$43.3B$43.3A$58.A$57.3A$56.2A2.A$55.B4.B$
54.2A2.BA$55.B2.B$52.B$51.A2.A$51.A.2BA$52.ABA$53.A$41.3A5.2A$40.A2BA
4.A2.A$40.AB2.BA3.2A$42.A2BA$42.A2BA!
Edit 2: Still way too large :(

Code: Select all

x = 59, y = 414, rule = 23/3/3
27.A11.A$26.3A9.3A$25.2A2.A7.A2.2A$26.B4A5.4AB$28.2A7.2A2$31.2A.2A$
30.ABA.ABA$30.A.A.A.A$29.2A.A.A.2A$30.A.A.A.A8.3A$29.2A.A.A.2A6.A2BA$
29.A.BA.AB.A6.2A.AB$30.2A3.2A7.A$30.2A3.2A5.2B3.B8$16.3A9.3A$16.A2BA
7.A2BA$15.BA.2A7.2A.AB$19.A7.A$16.B3.2B3.2B3.B4.2A$21.A3.A8.A.A$21.2A
.2A9.A$20.ABA.ABA$20.A.A.A.A$10.A9.A.A.A.A$9.3A7.2A.A.A.2A$8.A2.2A9.A
.A$8.B4.B5.2A.A.A.2A$9.AB2.2A2.B2.A.A.A.A2.B$10.B2.B2.2A2.B.A.A.B2.2A
$16.2A4.A.A4.2A$17.2A2.2A.2A2.2A$21.B3.B$35.2A$34.A.A$35.A7$13.3A$12.
A2BA$12.AB2.BA2.2A$14.A2BA2.A.A$14.A2BA3.A$35.2A$34.A.A$35.A7$23.A$
22.A.A$15.3A4.2A$14.A2BA$14.AB2.BA$16.A2BA2.A12.2A$16.A2B3A.A10.A.A$
21.A2.A10.A$22.2A10$17.3A5.A$16.A2BA4.A.A8.2A$16.AB2.BA2.2A8.A.A$18.A
2BA13.A$18.A2BA$23.BA$22.A2.A$22.2A2.A$22.4A$24.A4$20.3A$20.A2BA$19.B
A.2A11.2A$23.A10.A.A$20.B3.2B9.A4$31.A$30.A.A$30.A.A8.3A$31.A9.A2BA$
39.AB2.BA$39.A2BA$39.A2BA$36.AB$35.A2.A$34.A2.2A$35.4A$36.A2$31.A$30.
3A$29.A.A.B$28.A$29.AB2.AB$31.AB.2A$31.2A2.A$31.5A$31.A2.2A$30.2A2.A$
31.3A$32.A11$24.A$23.3A$22.A2.2A$22.B4.B$23.AB2.2A$24.B2.B3$40.3A$40.
A2BA$38.AB2.BA$38.A2BA$38.A2BA$7.3A9.3A$6.A2BA9.A2BA11.2A$6.AB2.BA5.A
B2.BA10.B2AB$8.A2BA5.A2BA$8.A2BA5.A2BA$34.ABA$12.2A.2A16.A2BA$11.A.A.
A.A15.AB$11.A.A.A.A15.A.A4.3A$.3A6.2A.A.A.2A14.A.A3.A2BA$A2BA7.B.A.A.
B16.A4.2A.AB$AB2.BA4.2A.A.A.2A9.A10.A$2.A2BA4.A2.A.A2.A8.3A7.2B3.B$2.
A2BA4.A2BA.A2BA7.2A2.A$11.2A3.2A9.B4A$29.2A2$43.3A$43.A2BA$41.AB2.BA$
41.A2BA$41.A2BA$8.2A$8.A.A$9.A20.2A$29.A2.A$.3A26.2A$A2BA5.2A$AB2.BA
3.2A25.B$2.A2BA33.2A$2.A2BA32.A.2A$37.2A.A$15.3A20.2A$14.A2BA$14.2A.A
B$14.A$4.2A6.2B3.B$3.A.2A$3.A3.A$4.A.2A$5.2A2$8.ABA.ABA$8.ABA.ABA$9.A
.2A3$19.3A$18.A2BA$18.2A.AB$18.A$16.2B3.B$30.2A$29.A2.A$21.3A6.2A$21.
A2BA$3.3A7.2A4.AB2.BA$3.A2BA6.AB2A2.A2BA$2.BA.2A6.A3.3A2BA$6.A7.2A.A$
3.B3.2B5.3A5$10.B$9.B2$2.A6.A$.3A4.3AB$A2.2A3.A$B4.B2.A.2A$.AB2.2A2.A
2BA$2.B2.B3.A2BA$11.A3.2A$15.2A5.A$21.3A$20.2A2.A$19.B4.B$18.2A2.BA$
19.B2.B7.2A5.A11.A$29.A2.A3.3A9.3A$30.2A3.A2.2A7.2A2.A$35.B4.B5.B4.B$
36.AB2.2A3.2A2.BA$37.B2.B5.B2.B$17.3A21.A3.A$11.B5.AB22.2A.2A$9.B2.A
5.2A20.A.A.A.A$9.A2BA3.B2.AB19.A.A.A.A$10.ABA7.A18.2A.A.A.2A7.3A$17.B
.B22.A.A10.A2BA$39.2B.A.A.2B5.AB2.BA$42.A.A8.A2BA$38.ABA.A.A.ABA4.A2B
A$10.3A25.ABA.A.A.AB2AB$9.A2BA25.A3.A.A3.A.A$9.AB2.BA23.B3.A.A3.B2AB$
11.A2BA6.3A13.A3.2A.2A3.A$11.A2BA5.AB.BA12.B11.B$19.A2B.BA$19.A2.2A$
20.2A5$13.A5.2A31.A$12.3A4.2A9.2A19.3A$11.2A2.A13.A2.A17.A2.2A$12.B4A
13.2A14.A2.4AB$14.2A29.ABA2.2A$44.A.BA$45.2A4$23.A$22.A.A$22.A.A$18.
3A2.A$17.A3BA$8.3A6.AB.2BA$8.A2BA4.AB2.2BA20.A6.A$7.BA.2A5.AB2A.2A18.
A.A4.3A$11.A5.AB3.A20.2A3.A2.2A$8.B3.2B5.3A25.4AB$19.3A26.2A$44.2A$
43.A.B$42.A2.2A$8.3A32.3A$8.A2BA$7.BA.2A$11.A$8.B3.2B$30.2A$29.A2.A$
30.2A$48.A$20.A26.3A$19.BAB3.BA14.A4.A2.2A$23.BA2BA12.A.BA.4AB$16.B6.
A3.A13.3A2.2A$14.A.A.2A4.4A14.A$6.3A5.2A.2A2.A.A2.A$6.A2BA5.3A.A2B.A.
A$5.BA.2A10.AB.2A16.A$9.A11.3A16.A.A2.B$6.B3.2B28.AB$40.3A5$46.A$45.
3A$44.A2.2A$43.4AB$44.2A$28.2A8.3A$28.2A8.2B$38.ABA$39.AB$30.2A$29.A
2.A$30.2A4.3A$36.AB$36.3A$38.B5$28.2A$28.2A2$37.A$36.A.A$37.2A4$37.2A
$36.A.A$37.A4$51.2A$51.2BA$49.2A.BA$49.2B.2A$49.3B$49.3A$43.3A$43.A2B
A$41.AB2.BA$41.A2BA$41.A2BA3$28.2A$28.2A6$35.A$34.A.A$35.2A4.3A$41.A
2BA$39.AB2.BA$36.A2.A2BA$35.A.3A2BA$34.A2.A$35.2A10$39.3A$39.A2BA$37.
AB2.BA$28.2A7.A2BA$28.2A7.A2BA12$37.3A$37.A2BA$31.B3.AB2.BA$30.A2.3A
2BA$31.AB3A2BA$31.3A3$21.A9.A$20.3A7.A.B$19.2A2.A5.2A.A$20.B4A5.2AB$
22.2A7.A3$28.2A$28.2A5.3A$34.A2BA$34.2A.AB$34.A$32.2B3.B!
Edit 3: Some 6c/7s:

Code: Select all

x = 11, y = 2, rule = B2-kn3qry4aikt5-ejnq6-in7e/S02aik3cey4aceiky5ekqry
2obobobob2o$2bo2bo2bo!

Code: Select all

x = 11, y = 2, rule = B2ace3aejkr4jkry5enqy6ain/S12en3ackry4ikntw5acqy6aen
2obobobob2o$b3obob3o!
Edit 4: I thought 6c/7 was supposed to be hard.

Code: Select all

x = 12, y = 2, rule = B2-kn3-ainq4aejrw5cejn6en7c8/S1c2ci3ainq4eiktwy5einy6-ac78
2obob2obob2o$3b6o!
Last edited by wwei47 on May 1st, 2021, 10:44 pm, edited 1 time in total.
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

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yujh
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Re: Miscellaneous Digs in Other Cellular Automata

Post by yujh » May 1st, 2021, 10:43 pm

Just posting this, by fluffykitty, is an oblique ship possible?

Code: Select all

x = 34, y = 17, rule = myconstr2-20161220-cif
Q2$30.T$.B23.BA.DA.AD$.A.T26.F2.L$2.DAD.AB.AF.AC.AB.AF.AB.AB.AB.A$.P
28.T.Q$3.JA.DA.BA.CA.BA.CA.FA.CA.BA.K$.L.T26.A$.BA.AB.AB.AF.AD.AB.AB.
AB.AB.AB$3.F26.T$3.A.EA.FA.CA.BA$3.T29.Q2$30.T2$Q!
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!

AforAmpere
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » May 1st, 2021, 11:09 pm

wwei47 wrote:
April 30th, 2021, 10:03 pm
Edit 4: I thought 6c/7 was supposed to be hard.

Code: Select all

x = 12, y = 2, rule = B2-kn3-ainq4aejrw5cejn6en7c8/S1c2ci3ainq4eiktwy5einy6-ac78
2obob2obob2o$3b6o!
It was before LLS. Now they're pretty easy to find. Even 8c/9 doesn't take all that long at this point. Also, by the way, what are you using to find the frontends for your hyperrelativistic ships?
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.

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wwei47
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » May 1st, 2021, 11:28 pm

AforAmpere wrote:
May 1st, 2021, 11:09 pm
It was before LLS. Now they're pretty easy to find. Even 8c/9 doesn't take all that long at this point. Also, by the way, what are you using to find the frontends for your hyperrelativistic ships?
1. You're saying that the 5c/6 horizon is now the 8c/9 horizon?
2. I use my own search program, chocolate.

Another random 6c/7:

Code: Select all

x = 12, y = 2, rule = B2ac3aejr4cqtw5aijky6eik/S1e2ek3eikqr4ackn5y6ein7e8
2obob2obob2o$b2ob4ob2o!
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

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bibunsekibun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » May 2nd, 2021, 1:01 am

Code: Select all

x = 4, y = 3, rule = B2n34yz/S2-i3-a4iqy
$b3o$o2bo!
Replicator moving forward
Edit: (14,51)c/197 Backrake

Code: Select all

x = 3, y = 4, rule = B2n34y/S2-in3-a4iqyz
o$2o$b2o$2o!
sorry I can only speak Japanese, English is made by machine translation
I'm a fan of methuselahs

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FWKnightship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship » May 2nd, 2021, 6:53 am

My 901st post.
P46,P58,P60 in B367/S23:

Code: Select all

x = 63, y = 17, rule = B367/S23
6b3o51b3o$8bobo49bo$6bo2bo48bobo$8bo18b3o8b3o16bo3bo$27bo12bo15bo4bo$
29bo8bo17bo$bo12bobo11bo4b2o4bo17bo$2bo13bo15bo2bo$2obo9bob2o15bo2bo$o
13bo36b2o$obo12bo34bo2bo$49bo2$8bo38b3o$7bo2bo36bo2b2o$6bobo38bo$8b3o!
EDIT:P138:

Code: Select all

x = 21, y = 21, rule = B367/S23
12b2o$12bo2bo$12bo$13bo2$19bo2$17bo2bo$18b3o4$3o$o2bo2$bo2$7bo$8bo$5bo
2bo$7b2o!
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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wwei47
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » May 2nd, 2021, 9:19 am

Asymmetric 6c/7!!!

Code: Select all

x = 9, y = 3, rule = B2ac3anqr4anwyz5aik6ae7e8/S1e2e3ceir4aeky5akn678
2obob2obo$obo5bo$3o3bobo!
EDIT: Another 6c/7:

Code: Select all

x = 13, y = 2, rule = B2aci3kq4ekwyz5aqry6i78/S2-kn3a4cert5-cejy6ac7e
2obobobobob2o$5bobo!
Edit 2: Another 6c/7:

Code: Select all

x = 13, y = 2, rule = B2ac3cek4acnw5aejn6e7/S2aik3cijqr4anrtwz5iqry6ik7c8
2ob3ob3ob2o$2b9o!
Edit 3: Here is a pair of 7c/8s, found in 14195.291549 and 32189.7560351 seconds respectively:

Code: Select all

x = 15, y = 3, rule = B2aci3akn4aitwyz5jkry6aci7c/S1e2c3ajqr4ceijwz5-ejn6akn8
ob2obobobob2obo$obo2bobobo2bobo$3o2bobobo2b3o!

Code: Select all

x = 15, y = 3, rule = B2-ik3n4-ckqr5nq8/S1e2i3aijy4aekqrtw5-cn6akn7e
ob2obobobob2obo$obo3b3o3bobo$3o2b2ob2o2b3o!
Apparently the horizon is from 6c/7 to 7c/8.
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » May 4th, 2021, 9:45 pm

c/3o and true period c/4o in silverlife

Code: Select all

x = 41, y = 12, rule = B367/S2-i34q
8bo23bo5bo$7bobo21bobo3bobo$6b2ob2o19bobobobobobo$6b2ob2o20bob2ob2obo$
3b2o7b2o18bo5bo$2obobo5bobob2o16bo3bo$2ob4o3b4ob2o14bo2bobo2bo$2bob2o
5b2obo16bobo3bobo$5b2o3b2o$bo3b2o3b2o3bo14b2o7b2o$4bo2bobo2bo18bo7bo$
31bo7bo!
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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muzik
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » May 5th, 2021, 5:05 am

Rule 90 ships:

Code: Select all

x = 19, y = 5, rule = B2ak3cr/S
6bo2$obobobobobobobobobo2$2o3b2ob2o3b2ob2o!
Parity Replicator Collection v1.6 is now live - please send all relevant discoveries here.

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wwei47
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » May 5th, 2021, 10:29 am

4c/7d replicator:

Code: Select all

x = 2, y = 2, rule = B1c2aS_B2a3iqS_B2ae3iS_B2ae3iS_B2eS2k_B2eS2aek_B2eS2aek
2A$.A!
@RULE B1c2aS_B2a3iqS_B2ae3iS_B2ae3iS_B2eS2k_B2eS2aek_B2eS2aek
@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2,3,4,5,6,7}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7
0,0,1,0,0,0,0,0,0,2
0,1,1,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,3
0,0,2,2,2,0,0,0,0,3
0,3,3,0,0,0,0,0,0,4
0,3,0,3,0,0,0,0,0,4
0,0,3,3,3,0,0,0,0,4
0,4,4,0,0,0,0,0,0,5
0,4,0,4,0,0,0,0,0,5
0,0,4,4,4,0,0,0,0,5
0,5,0,5,0,0,0,0,0,6
5,5,0,0,5,0,0,0,0,6
0,6,0,6,0,0,0,0,0,7
6,6,0,0,6,0,0,0,0,7
0,7,0,7,0,0,0,0,0,1
7,7,0,0,7,0,0,0,0,1
6,6,0,6,0,0,0,0,0,7
6,6,6,0,0,0,0,0,0,7
7,7,0,7,0,0,0,0,0,1
7,7,7,0,0,0,0,0,0,1
0,2,2,0,0,0,2,0,0,3
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

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jimmyChen2013
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by jimmyChen2013 » May 5th, 2021, 11:40 am

This wholesome reaction:

Code: Select all

x = 40, y = 37, rule = B2i3aeijn4cet5cein6ckn78/S2a3-jkqy4e5eik6-ak78
10b2obo$9bo2bobo$o3bo3b7o$9bo2bobo$10b2obo18$36b3o$35bobobo$36b3o$35bo
bobo$35bobobo$36b3o$37bo4$37bo4$37bo!

Code: Select all

x = 8, y = 13, rule = B3aeij4cekrtz5cqry6-ai7/S2cn3-aqr4eiy5eijkq6-a7c8
2bo$b3o$5o$b5o$2b5o$3b5o$2b5o$b5o$5o$4o$3o$2o$o!

Code: Select all

x = 12, y = 12, rule = B2e3aijky4ajrt5ai6c7c8/S1c2-in3nr4actw5aejqr6cen7c8
2o$2o$obo$b2o6$8b2o$8bob2o$9b3o!

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muzik
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » May 5th, 2021, 11:43 am

Code: Select all

x = 1, y = 4, rule = B2ei3aijy4a5j/S12ei3r4r6c
o$o$o$o!

Code: Select all

x = 1, y = 4, rule = B2ei3acijy4a5r6k/S12ei3r4r6c
o$o$o$o!

Code: Select all

x = 1, y = 4, rule = B2ei3acijy4acnqty5ry6ik7e/S12ei3r4r6c
o$o$o$o!
Finally a replicator:

Code: Select all

x = 1, y = 5, rule = B2e3aij5a6ac/S1e2ci3er4aent5i7e
o$o$o$o$o!

Code: Select all

x = 7, y = 17, rule = B2e3aijy4qy5a6ac/S1e2ci3er4aent5i7e
$2bo$2bo$2bo$2bo5$2bo$2bo$2bo$2bo$2bo!

Code: Select all

x = 6, y = 5, rule = B2e3aijy4qy5a6ac/S1e2ci3er4aent5i7e
o4bo$o4bo$o4bo$o4bo$o4bo!
Last edited by muzik on May 5th, 2021, 12:02 pm, edited 3 times in total.
Parity Replicator Collection v1.6 is now live - please send all relevant discoveries here.

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jimmyChen2013
Posts: 191
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by jimmyChen2013 » May 5th, 2021, 11:52 am

There is a giant puffer here that I cannot identify but somehow still common and very recognizable:
(you'll have to run for at least 10000 gens to see it)

Code: Select all

x = 1021, y = 597, rule = B2i3aeijn4cet5-ajqy6ckn78/S2a3-jkqy4e5eik6-ak78
363bo$363bo$362b2o$362bo66b3o325b3o$129bo113b2obo117bo64b3o324bobobo
211bobo$128b3o111bo2bobo34b2obo128bo14b3o51bo271bob3obo47bo95bo65b4o$
127b5o12bo21bo74b7o14b2o17bo2bobo127bo68b2o270b7o47b2o90bob5o64bobo$
126b7o10b2o20b2o75bo2bobo14bo17b7o125bobo210bo26b2o33bo22b2o43bob3obo
139b2o2b4o$125b9o109b2obo34bo2bobo43bo83bo14b3o191bo33bo29bo22bo45bobo
bo140bob5o$126b7o45b2o102b2obo43b2o99bo50bo55bo2bo113b2obo27bo2bo13b3o
8bo43b3o145bo$11bo14bo36b2o49b3o10b5o46bo77bo73b3o9bo86b3o28bo19bo2bo
53b4o115bo29bo16bo8b2o$26bobo35bo47bo4bo10b3o288b2o9bo29bo22bo53bo2bo
144bo9bo5b5o175bo$26bo84bo3b2o12bo288b3obo36b3o19bobo30bo180b2o4b5o
174b2o$11bo46b3o47b3ob2o3bo138b3o158b6o34b3o53b3o119bo66b3o$10b3o44bob
obo47bo4bo2bo139bo160b3obo36bo243bo168b2o129b2o$9b5o42bob3obo45b3o3b3o
12bo152bo136b2o63bo136b2o249bo130bo$8b7o41b7o46bo5bo12b3o70bo76bob5o
197bo106bo32bo138b2o240bobo$9b5o42bob3obo84bo82bobo25bo19b2o2b4o53bo
141bobo58bobo14bo27b4o171bo39b2o201bo$10b3o44bobobo85b3o17b2o87bo21bob
5o58bo140bo73b2o13b2o12b5o170bo39bo131bo$11bo43bo2b3o67b3o17bo19bo87b
3o23bo56bobo48bo32bo22bo27b2o37bo47bo12bo12b4o16b2o119b3o202b2o$54b3o
34bo37bo184b2o24bobo103b2o27bo84bobo26bo17bo119bobobo75bo$53b5o32bobo
150bo71bo25bo70bo39bo60b3o44b2o68bo97b3o74b2o7bo72b2o47b2o76bo$27b2o
25b3o33bobo150bo168bo38b2o177b2o95bobobo127b2o26bo46bob3o74b3o$27bo27b
o188b2o105b3o36bo20b3o8bobo251bo50bobobo125bob3o72b6o74bo$240b2o47b2o
61bo36bo23b3o23bo235b3o50b3o121b2o3b6o16bo54bob3o$290bo59b5o58bo25bobo
18bo213b5o28bo21bo31bo90b2o3bob3o16b2o56b2o$242bo16bo90b5o84bo20b2o12b
3o196b7o27bobo50b3o96b2o91bo14bo$259b2o90b3o121bo124b3o71b5o27b2ob2o
50bo190b2o$10b3o117b2o8bo44bo102b3o61bo121bobo122b2o43b2o29b3o31bo43bo
117bo$119bo10b2o8bobo74bo69bobobo182b3obo98bo22bo43bo31bo75bobo112b2o$
11bo107b2o19bo76b2o69b3o182bo2bo231bo30b3o11bo7bo30b4o$287bobobo380b2o
86b3o28b5o100b2o$189b2o96bobobo186b3o150b2o40bo65bo21bo30b4o100bo$140b
3o2b3o41bo31b2o65b3o189b2o46bo100bob3o353b3o27b2o$140b3o2b3o49b2o22bo
67bo189b2o46bo101b6o20b4o143bo184b3o28bo$73b2o65b3o2b3o49b2o278b3o149b
ob3o21b5o77bo64bobo27b2o142bo10b3o$73bo24b2o58bo319bo152b2o4b2o16b4o
78b2o63bo30bo50bo90bo11b3o$99bo57b3o478bo14bo229b2o91bo11bo$157b3o84bo
2bo140b2obo124bo134bobo105bo$11bo232b4o37bo20bo80bo2bobo121bo2bo133bob
o31bo62bo$9bobo232bo2bo57bo80b7o18bo96bo5bobo136bo$11bo74bo300bo2bobo
115b2o173b2o$86b2o70bo185bo43b2obo120b3o74bo21bo73bo$513bo74b2o18bo38b
o$511b5o60bo31b3o89bo$511b5o48bo44bo89b2o$40bo249bo221b3o48b3o268bo96b
o$39b2o16b2o19b2o108bo51b2o48b2o221bo50bo8bobo175b2o28bo2bo48bobo94b2o
$57bo21bo108b2o51bo213b2o106bo23bo163bo4bobo23bo51bo$16bo26bo411bo106b
2o23b2o18b2o147bo25bo$16b2o25b2o312b2o100b2o101b3o42b2o60b4o85bo$174b
2o181b2o55bo43b3obo205b5o123b2o$172bob3o230bo4bobo42b6o101b2o103b4o54b
o68bo12bo$86bo85b6o108bo118bobo50b3obo37bo62bo2bo180b3o58b2o153bo$37b
2o47b2o84bob3o69b2o53bo105bo51b2o103bo163bo18b3o79bo77b2o53b3o21bob2o$
38bo135b2o26bo44bo38bo16bo310b3o92b2o37bo79b3o76bo55bo21bobo2bo$202b2o
99bo85b2o224bo76b2o16bo251b3o20b7o$44bo257b2o84bo226bo56b3o18bo291bobo
2bo$147bo109bo130bo185b2o38b3o211bo28bo128bob2o$575bo97bo182b2o$256b3o
162bo$273bo146b2o4b2o2b2o270b2o159b2o23b2o$426b6o270bo161bo26bo$101bo
26bo297b2o2b2o455b3obo19b3o$102bo25b2o113b3o366bo131bo121b2o23bo60b2o$
32bo70bo216b2o193b2o93b2o132b2o80bo38bo30bo14bo38bob3o$31b2o69bo140b3o
75bo194bo77bo107bo39bo123bo28b3obo14bo35b6o$420bo26bo244bo7bob2o38bo
26b4o27bo94b2obo51bob3o$396b3o19bobobo19bo148b2o5bobo90b2o7b4o37bo26b
5o26b2o151b2o45bo$86bo308bobobo18b5o169bo6bo100bobo2bo63b4o225b2o$85b
2o84bo34b3o169bo17b3o19bobobo18bo21bo58bo57bo121b2o2bo$51bobo99bo17b2o
34bo169b3o11bo3bobobo20bo100b3o217b3o$49b3ob3o96bob2o49b5o60bo106b3o
15bobobo177bo163b3o42b2o$52bo98bobo51b5o22bo36b2o14bo91b3o10bo5b3o4b2o
168bo168bo43b2o16b2o195b2o$8bobo40bo102b3o49b3o22b2o52b2o90b3o17bo5bo
117b3o62bo216b2o198bo$9b2o48bo39bo107bo28bo154b2o112bo16bo63b2o151bo
64bo134b2o$8b2o226b2o235bo3b2o26b2o231b3o198b2o$8bo50b2o45bob2o80bo
116b3o161bo5b3o258b3o116b2o$105bobo2bo197bo8bo159b2o120bob2obo134bo
115bob3o$99bo5b7o25bo129bo39bobo115bo132bo43b2o90bo23bo105b3o2b2obo22b
6o$99b2o4bobo2bo196bobo7bo107b2o37bo3bobo64bo22b2o64bo6bo85bo107b3obob
obo21bob3o$106bob2o157bo38b5o4b3o150b3o50b2o108bobo59b3o128bo5b4o23b2o
138bo$307b3o7bobo148bo2b2o48bo15bo85b3o3bo3bo190bo6bobo$267bo39b3o7b3o
150b2o159bobo5bo80bo102b3obo2bobo$308bo9bo45b3o264bo7b2o78b3o102b4o61b
2o$358bobo6bo129b3o81bo137b3o102b3o63bo$357bo6bobo133bo78bobobo135b3o
103bo146bo$136bo161b2o58b3o135bobobo78b5o135b3o173bo75b3o$135b3o2b2o
28b3o85bo37bo2b2o15bo11bo110bobo54bobo80bobobo235bo73bobo74bobobo$136b
o4bo115b2o25b2o10bo30b2o112bo55b2obo80bo174bo138bo74bobobo$29bo140b3o
111bo11b3o141b2o56b2o156b3o94bo6bo210b3o$29b2o119b2o18b3o80bob2o155b2o
41b4o198bo95b5ob3o208bobobo$136bo13bo20bo80bo2b2o94bo60bo41b5o161b3o
32b5o87b3o3bo6bo166b2o42b3o$46bo6bo81b3o33bo63bo17b2obo90bo6bo100b4o
114bo46b3o3b2o27b5o86bobobo5bo12bo157bo9b2o$45b2o42bo46bo33b3o60bobo
110b3ob5o132b2o20b2o61b2o46b3o3bo29b3o87bobobo2bo15b2o69b2o41b2o53bo
28bo$88bobo80bo63bo111bo6bo20bobo110bo20bo147bo81b2o5bobobo89bo32bo7bo
b3o81b2o27bo2bo$118bo232bo24bo59bo286bo15bo7b3o2b3o117b3o6b6o108b2o2b
2o$119bo84bo100bo69bobo58b2o200b3o34bo72bo132bob3o21bo88bo2bo$304b2o
122b3o245bo54b3o3bo145b2o21bobo41b3o$128b2o225b3o71bo114bo94bo43bo47b
3o3bobo62bo69bo33b2o43bo$129bo223bob3o71bo251bobo48bo4bo63bobo145b5o$
99bo256b2o70b3o4bo247bo267b3o$57bo11b3o25b2o154bo180b2o365b2o148bo$70b
o410bo48bo110bo267bo29b2o8bo2bo23b3o$69b3o39bo338b2o42bo33bobobo61bo
46bo257bo39b2o11bo13bo9b3o$70bo41bo23b3o13bo68b3o67bo156bob3o40b3o33bo
109bo2bo296b2o9bobo9bob5o7b3o$110bobo23b3o13b2o67bo68bo57b2o98b6o19bo
18bobobo42bo422b2o2b4o7bo$110bo26bo75bo48bo85b2o98bob3o21bo17bobobo
465bob5o$137bo74b3o45bobobo37bo65bo81b2o41b3o379bo90bo$136b3o74bo47b3o
37b3o63b2o77bo45bobobo378b2o5b2o45bo51bo$136b3o120b7o35b3o33b2o108bo
45b3o85b3o203bo94bo45b3o50b2o$261b3o37b3o34bo175bo66b2o202bo141b5o43bo
$146bo113bobobo36b3o210b2o49bobo13b2o149bo193b7o38bobo$82bo63b2o10bo
102b3o68bobo141b4o219bo170bobo54b5o6b3o33bo$82bo43bo191b3o61bo93b5o84b
2o165bo161b2o32b3o43b2o$80b2o61b3o11b3o159bo8bo2bo18b3o28b2o93b4o124bo
127bo109bo31bo19bo34bo9bo33b3o$84b2o57b3o90bo80b5o29bo151bo100b2o81bo
307bo$83bo235bo10bo18b5o88bo59b3o181b2o186bo119b2o$83bo234b3o28b5o31b
2o55b2o57bobobo$6b2o34bo113bo193b3o32bo115b5o9b2o125bo53bo254bo$7bo34b
2o112bobo36bo155bo99b2o63bo28b2o280b2o122b2o$156bo20b3o13bobo254b3o92b
o95b3o50bob2o129bo55bo36bo84bo$62b2o113bo116bo35b2o119b2o430bo20bo15b
2o29b2o$63bo30bo83bobo112b2o33bob2obo362bo187bo67bo51b3o$93bo82bo2b2o
147b2o3bo211bo40b3o2b3o220b2o139b2o$175b2ob2o149bo3bo210b3o39b3o2b3o
220bo141bo$332bo28bo181b5o38b3o2b3o$162b2o165b3o28b2o24bo157b3o238b2o$
162b2o142bo78b2o158bo96bo46b2o4b2o88bo$68bobo15bo75bo457bo20b2o46bo6bo
73b2o167bo$68bobo14b3o76bo139b3o366bo97bo168b2o$65b2o17bobobo28bo553bo
$42bo16b2o6bo20bo582b3o$33b3o6b2o15bo7bo19bo267bo329bo$34bo51b3o211bo
2bo50b2o472bo46bo43bo$32b5o263b4o133b2o245bobo24bo158bo48bo19bo$32b5o
107b2o154bo2bo133bobo269bo159b3o48b2o$33b3o108bo47bo175b2o546b2o$34bo
156b2o175b2o5b2o335b2o137b2o17b2o20b3o23bo$375bo64bo272bo136b3obo14bo
20bo2bo2bo21bo$423b2o105b2o32bo154bo129b6o8bo31b3o$438bo61bo5bo24bo31b
3o284b3obo7bo28bobo2bo$27bo140b2o329b2o61b5o284b2o34bo4b3o$23bob5o67bo
71bo122b2o210b2ob2o52b7o$23b2o2b4o166b2o94bo64bo203b5o53b2o181bo2bo
152b2o$23bob5o69b2o95b3obo156bo148bo56b3o54bo147bo34b3obo76bo74bo$27bo
71bo95b6o123bo22bo10bo205bo202b2o34bobo79bo4b2o$99bo17b2o77b3obo121bob
o22b3o119bo292b3o119b2o4b2o$35b2o60bobobo16bo78bo2bo8bo33bo50bo29bo23b
o414bo194b3o$35bo63bo100bo8b2o83b2o52bo142bo270bobo119bo73b3o$199b2o
146b3o319b3o90bobo54bo29b3o107bo$99bo502b2o65b3o27b3o59b5o53b2o29bo$
13bo84b3o239b3o256bo69b2o27bobobo59b3o13bo71bo111bo$99bo193b2obo177bo
44b2o80bo95bob3obo58b3o12b3o69b3o$122b2o165bob2o2bobo8b2o31b2ob2ob2obo
bo56bo51bo13b2o44bo80b2obo93b7o59bo13b3o49bobo17b3o$123bo163bobob5o12b
o36b2o3bo107b2o207b2obo26bob3obo72b5o49bo18b3o$289bob3o3bo9bo33bo3b2o
2b2o315bo2bobo26bobobo74bobo34bo131bo$201bo34bo58b2o224bo63bo79b7o27b
3o3b2o70bobo29bo3b2o$38bo103bo57b2o93b2o37bo187bo143bo2bobo33bo72bo29b
2o$37b2o103b2o13bo77b3o56bo38b2o95b3o87bobo144b2obo106b3o$294bo7bo128b
o76bo386b2o$117b2o2b2o173bo133bobo74b3o74bo132b3o134b3o2b3o33bo$117b6o
32b2o88b4o180b2ob2o43bo29b3o32bo2bo308b3o2b3o29b2o116b2o$117b2o2b2o30b
ob3o86b5o181bobo8bo34b3o28b3o34bo76bo54b2o40bo66b3o66b3o2b3o29bo118bo$
153b6o86b4o134bo47bo9bobo31bobobo27b3o34bo75b2o31b2o22bo72bo33b3o123bo
$153bob3o19bo205b2o45b3o8bobo31bobobo173bo131b2o123bobo104bo$103b2o7bo
42b2o19b2o79bo89b2o92bo34b3o259bo10bo37bobo104b2o14bo106b2o$103b2o19bo
132b2o88bo127bobobo258b2o13bo108bo32bo$123b2o351b3o10b3o165b2o4bo$53bo
434b5o164b3o3b2o33b2o95bo66bo$52b3o140bo236b2o54b4o165b2o4bo35bo94bo2b
o168b2o$52b3o140b2o235bo138bo173b2o50bo112bo56bo$190bo554b2o48bobo76bo
34b2o$189b2o344bo36bo39bo261b2o37bo$71bo270bo95bo96b2o71bo2b2o299b2o$
301bobo140b3o160bo399bo$57bo32b2o132b2o74bo3bo140bo402bo127bo30b2o$57b
2o31b2o133bo73b7o31bobo56b3o45b3o3b2o152bo$15bo26bo257b5o32bo59bo47bo
4bo153b2o326bo$14b3o25bobo121bo125bo9bo34bobo57bo227bo39bo268bo$14b3o
12bo14bo85bobo139bo19b2o7b3o72b3o17b3o130bo134b3o59b2o2b2o117b2o81b3o$
13b5o20b2obo89bobo31b3o85b2o46b3o72b3o26bo102bo154bo62b6o117bo$14bobo
8bo11bo2bobo79bo9b3o119bo46b3o72b3o95bo32b2o18bo135bo62b2o2b2o35bobo
175bo$14bobo8bo10b7o78b3o6b2obo49bo192b3o83bo168bo32bo14bo70bo16b4o$
15bo8b3o5bo4bo2bobo77b5o6b4o50bob2o188bo82bo2bo166bo32b3o12b3o69bobo
14bobo173b5o$14b3o9b3o9b2obo78b5o5bobo51bob3o272bo217bo70bo8b2o$26bo
95bo10b2o40b2o2b2o5b2o157bo414bo$14bo7b2o97b3o7bo43bo3bo4bo39b2o119b2o
408b2o42b2o$13b2o8bo109bo38bo9bo42bo47bo60bo119bo6b3o215bo76bo42bo16bo
26bo$131bo50b3o149b3o119b2o3b3o79bobo132b3o28b2o105bo25b3o$52bo139bo
116bo24b3o115bo2bo6bo37b2o41bo135bo29bo5bo127bo161bo$51b2o139b2o306bo
42bobo145b2o24bo123bo3bo57bo6b2o53bo4bo33b3o$117b2o425bo105bo40bo22bob
obo12b2o64bo43b2ob2o17bobo38b2o3b3obo50b3o2b3o33bo$65b2o49b4o25b2o502b
2o54b2o7bobobo13bo63bobo42bo3bo19bobo40b6o51bo4bo34bo$50bobo12bo49bobo
bo26bo83b2o263bo209bo8bobobo124bo19b2o44b3obo90b3o$51bo41bo4bo17b3o
111bo64bo163b2o34bo219b3o124b3o5bo59b2o35bo56b3o$49b3o3bo36b3o2b3o17bo
177b2o162bo34bo171b4o173bo24b3o75b2o27b2o$52b2obo37bo4bo395bo174b2o
195bo2bo2bo72bo29bo28b3o$53bobo298bo23bo126bobo158b4o95bo99b3o3b3o71bo
$40b3o10bo62b2o235b2o22b2o129bo255bobo73bo25bo2bo2bo$41bo75bo389bo25bo
182b4o44bo69bobo31b3o$41bo490b3o180b5o44bobo237bo$40b3o289b2o197b5o
180b4o31b2o82bo$332bo68b2o89bo37b7o154b2o4bo54bo6bo162bo41bo$401bo89bo
bo37b5o155bo3bobo60b2o101b2o52bo4bob3o$492bo39b3o123bo32bobo3bo67bobo
93bo57bob2o2bo$21bo415bo26b2o67bo67bo55b2o34bo5bo67bo151b8o$20b2o87bo
19bo334bo2bo145bo78b2o3bobobo48bo14bobo151bob2o2bo$128b3o28bo303bob3o
45b3o97b2o82b2obo47bob2o14bo32bo120bob3o$6bo121b3o47b2o40bobo179b2o
109b3o181b2o52bo170bo$128b3o47bo42bobo178bo12bo50b2o45b3o130bo103bo$
50bo77b3o19b2o262b3o96b3o130b2o86bo91b3o179bo$150b2o254b2o5b5o96bo141b
2o168b3o53bo$49b3o207bo147bo6b3o240bo51b3o115bo54b2o124b2o$363bo51bo
77b2o89bo16bo49bo105bo23b3o45bo147bo$142b2o254b3o94bo104b2o46bo6bo53b
3o44b3o66bob4o77bo2b2o17b2o44b3o$67b2o74bo74bo130bo47bobobo95b2o129b3o
17b5ob3o98b2obo23bo33bobo7bo2bo78b6o16bo$65bob3o71bobo73bo130b2o46bob
3obo95bo43bo75b2o7bo2bo17bo6bo98b3o2bobo54b4o4b2o82bo2b2o$26b2o37b6o
200b2o26bo62b2o32b7o143bo71bo7bo24bo101b5o2b2o54bobo6b4o147b3o$65bob3o
201bo27b2o61bo33bob3obo109bo32b3o77bobo6bo74bobo42b3o2bobo63bo2bo148bo
$9bo16bobo38b2o22b3o20bo8b2o36bo67b2o166bobobo77bo65b3o77b4o5b2o72bob
2o43b2obo67bo$9b2o14b2o65bo21b2o6bo37b2o36bobo28bo143bo24b3o30b2o113bo
78bobobo77b2o3bo43b3o$24bo3bo168b5o170b2o57b2o193bo2b3o71b2o3bo48bo
129b2o$23b3o2bo169bobo58b4o199bo19b3o142bo76bo183bo$24bo96b3o43bo17bo
72b5o198b3o13bo5bo144b3o364b3o$120bobobo42b2o16b2o72b4o139b3o56b3o13b
2o3bobo395bo115bo$49bobo68b5o277b3o56b3o18bobo123bo255bobo56b2o69b5o$
49bo70bobobo189bo88bo58bo18b5o67bo47b2o50b2o211bo12b3o42bo69b5o9b2o$
121b3o272bo6bo78b3o68b2o17b2o27bo2bo3bo3bo40b2o340b3o11bo$16bo172b2o
79bo102bo28b3o77b3o86b3obo28b5o2b3o186bo135bo7b3o49bo$189b2o182bo7bo
13b3o4b3o78bo86b6o28bobo5bo139b3o43b2o$14b2obobo108b3o138b3o100bob2o4b
2o2bobo16bo167b3obo30bo2bo116bo25b3o62b2o126bo43bo$13b2obo2bo107bobobo
208bo32bo7bo2bo187b2o151b3o25bo46bo17bo103bo$14bo4bo108b3o64bo143b2o
33bo211bo137bobobo43bo149bobo42b3o21bo$127bobobo240bo212b2o47bo10b4o
77bo26bo17b3o148bo44b3o$17bob2o51bo54bobobo240bo271b5o49b3o23bobobo22b
obobo15bo2bo193bo$15b7o106b3o65bo205bob2o239b4o50bo25b3o25bobo17b2o
124bo68bo$14b9o106bo136bo134bobo2bo167b3o121bobo25bo25b3o14bo123bo4b2o
67b3o$4b2o9b7o54bo116bo2bo5bo64b2o132b7o120bo46bo121bo3bo48bobo14bobob
o119bobo73b3o$4bo11b5o54b2o117b2o69bo135bobo2bo120b3o44b3o16bo101bo7bo
46b5o12b4o122bo$17b3o180bo65bobo109bo23bob2o121b3o44b3o121b3o49bobobo
12bob3o$18bo360bo149b2o44bo17bo104b3o50b3o15b2o68bo$4b3o372bo16b2o30bo
97bo225bo257bo$6bo389bo134bo478bo$3bo2bo266b2o146bo105bo2bo104bo210b3o
159b2o$5bo267b3o129bobo123bo62b2o38b3o177bo31b3o$30bo101bo140b2o106b2o
20b2o124bo64bo39bo2bo21bo153b3o31bo$30bobo269bo35bo43bo145b2o105bobo
20b2o152b5o30bo79b2o$30bo39b5o263b2o294bo176b7o28b3o76bob3o$70bo3bo54b
o17b2o450b4o31b3o16bo158b5o29b3o76b6o$67b2o4bo74bo444bo4b5o117bo92b3o
109bob3o$61bo5bo3bo268bo46b2o203b3o4b4o211bo112b2o$59b3obo7b3o266bobo
45bo110bo92b3o124b3o215b2o$59bo12bo63b2o202bo47bo202b5o182bo156bo2bo$
136b2o444bo9bobo182b3o127b2o11b3o11b5o$97b2o75bo193bo131bo79bobo9bobo
160bo22bo128b2o11b3o12b2o$97bo75b3o37b2o77bo74b2o17b2obo92bo99bo10bo
183b3o114b3o23b3o$172b5o36bo115bo57bobo90b3obo56bo12b2o36b3o183bo115b
3o23b3o$118bo52b7o107bo99b3o91bo2b2obo54b2o12bo340bo14b2o9bo$118b2o52b
5o8b2o197bobo59bo31b8o23b2o340bo43bo15bo$173b3o10bo39bo157b5o42b2o12b
2o32bo2b2obo24bo340b2o41b3o42bo$29bo144bo51b2o129bo26bobobo42bo14b3obo
29b3obo368bo40b3o$385b3o62bo31bo368bo85bo61bo$921bo14b3o60b2o$516bo15b
3o257b2o126bo15b3o$264bo71bo15b2o49b2o127b3o257bo144bo25bo$45bo35b2o
181bobo69b2o66bo127b3o199bo56bo170b2o$45bobo32b4o26bo86b2o64bo2bo77bo
203b2o113b2o68b2o58b2o177bo$10bo34bo35b2o26b3o11bo73bo46b2o20bo75bo
160bo45bo114bo305b5obo$95bo13b3o11b3o118bo16bo3bo75bo160b2o301bo163b4o
2b2o$61bo32b2o14bo10b3o219b2o618bo6b5obo$61bobo32b2o24bo220bo106bo223b
obo285b2o8bo$61bo34bo25bo112b2o2b2o11b2o89bo71b3o31b2o96b4o79bo35bo11b
o78bo94bo123b2o$215bo19b6o11b2o165bo46bo79b5o78b2o35b2o8bobo77b2o92bob
o123bo$149bo64b2o19b2o2b2o196bo27b3o7bo26bo31bo12b4o127bo108b2o63bo$
148b3o32bobo224bo53b5o45b3o15b3o37bo2bo98bo2bo110bo67b2o29bo$147b5o31b
4o278b3o7bo95b2o2b2o97b3o146bo32bo71bo$87bo58b7o30bobo272bo7bo6b2o40bo
56b2ob2o182b2o62b2o7b2o$12bo24bo48b2o59b5o199bo79bo25b2o15bo99bobo94b
2o87bo$36b3o109b3o280b2o90bo51b2o84bo9bo244bo$35b5o109bo104bo319bo185b
o$25bobo7b5o209bo271bobo121b3o74bo36b2ob2o$24b4o9bo180bo29b3o271b2o97b
o25bo74bobo11b3o17bob2o2bo$25bobo8b3o178bobo28b3o270bo100bo21b2o76bo
12bobobo18bobo72bo$194bo21b2o31bo276bo117bobo87bob3obo14b4obo71b2o$
192bobo22b2o96b3o55bo35bobo322b7o18bobo38b2o119bo10bo$192bo3bo117bobob
o89b2o324bob3obo60bo2bo$182b3o53bo75b5o33bo56bobo117bo205bobobo60b2o
203b3o$182b3o53b2o74bobobo209b3o205b3o267bo$315b3o211bo132bo204bo106b
2o29bobo$183bo113bo98bo470b2o105bo29b2ob2o$146bobo31b3o100bo112bo249b
2o96bo260bobo$146b4o32bo100b2o244bo117bo94bobo20bo240bo$16bo29bo99bobo
379b3o213bo20b2o238b3o$15b3o28b2o172bo166bo108bo32bo247b2o$169bo48b2o
558bo$44bo123b2o54bo2bo767b2o$10bo15b3o15b2o174bo5b3o55b2o118bo187bo
117bo284b2o$9b2o7bo6bobobo161bo32bo2bo57bo105bo200b3o98b2o2b2o$18b2o4b
ob3obo159bobo4b2o106bobo83b2o201bo98b6o16bo170bo68bo$2bo21b7o72b2o87bo
5bo107b2o9b2o245bo27b3o98b2o2b2o17bo177bobo57b2o$24bob3obo70bobo203bo
10bo550bo14bobobo6bo20bo$25bobobo72b3o86bo223b2o134bo11b3o150bo68bo27b
o55b2o15bo34bo$26b3o74bo7bo304bo134b2o208b4o7bo10b3o25bo30b3o49bo35b3o
$109b4o15bo199b2o5bo28b3o394b5o4bobobo9bo27bo79bo37b3o$67bo38bo4bo15b
3o8bo4bo185bo4b2o28b3o394b4o5b5o37bobo28bo87bo$66b3o44b2obo9b5o7b3o2b
2o78bo140b3o217bo185bobobo38bo3bo113bo$65bobobo38bo3bo2bobo7b7o6bo4bo
78b2o140b3o163bo225bo15bo39b3o2b2o102bo8b3o$65bobobo41b7o6b9o232bo156b
2o2b2o2b2o33bo167bo196b3o$12bo53b3o43bo2bobo7b7o163bo147b2o76b4o207b2o
21b3o174bo$12b2o21bo29bobobo43b2obo9b5o312b2o77b2o2bobo401bo2bo$66b3o
58b3o100bo70bo148b2o76bo83bo21b3o249b2o43b3o$128bo143b2o176bo160b3o20b
3o237bo11b3o41b2obo$186bo27bo13bo44bo336b2obo21bo237b2o12b2o42bo$185bo
42b2o354b3o2b3o18bo5bo18bo$5bo41b2o179b2o320bo33b3o2b3o19bo2b3o17b3o
195bo$2bo2bobo40bo304b2o185b3o6b2o33b3o2b3o17b2o4b2o17b3o173bobo17b5ob
o$4bo2bo345bo69bo116b3o66bo2bo20bo60b2o114bobo16b4o2b2o$obob3o415b2o
116b2o13b2o52bobo82bo77b2o37bo18b5obo$4b3o121bo18b2o83b2o319bob3o75bo
138bo59bo$5bo68b3o51b2o17bo84bo308bo11b6o51bo9b2o12bo156bo211bo3bo$
553bob3o62bo12bo156b2o$75bo183b2o2b2o246b4o40b2o6bo70bo25b2o188bo$259b
6o245b5o48b2o96bo$259b2o2b2o45bo200b4o291bo$309b2o97bo320b2o75b2o98bo$
65b3o91bo247b3o321b2o155b3o14b2o$17bo38bo8b3o65b2o23b2o248b3o318bo161b
o13b2obo$17bobo46bo62bo4bo175bo87b2o7bobo138bo179b3o174bo35bo$17bo110b
2o151bo117bo85bo2b2o57b3o44bo134bo176bo$95bobo183b2o202bo2b2o20bo37bo
44b2o298bo$9b2o261b2o37b3o7b2o162bo2b2o20bobo347bo31bo6b2o$10bo262bo
37b3o7bo189bo293bo77b2o15bo$123b3o321bo434bob2o95b2o$92bo31bo322b2o
356bo78b2o24bo59b2o10bo$91bo30b5o756b2o12bo12b2o60bo$92bo31bo4bo315b2o
13b2o206bo142bo158b2o$123b3o2b3o129b2o183bo14b2o86bo261b3o202bo$127b5o
129bo285b3o230bo29b3o202bobo$89bo37b5o416bo232bo27b5o201bo$61bo2bo23b
2o37b5o569bo79bo4b2o22bobo$60b2o2b2o62b3o297bo152b3o116b2o74bobo7bo23b
obo58bo$61bo2bo64bo162bo2bob2o249bo33bo228bo60bo$30b2o253b3o4b5o5b2obo
241b3o31b3o107b2o117b3o59bo33bob2o$29bo2b2o250b2ob2o3bo2b2o6b2o243bo
33bo51bo32b2o21b3obo173bobob2o31bobo2bo$30bob2o200bo53bo7b3o6bo246bo
80b3o31bo21b6o143bo29bobo34b7o$31b3o199b3o51b2o14bo328bobobo30bobo20b
3obo142b2o33bo32bobo2bo60b3o$28bo204b3o66bo307bo21bobobo54b2o175b3o35b
ob2o62bo$85b2o198b3o114b2o205b2o21bobobo16bobo213bo102bo27bo$86bo105b
2o439b3o15bobo317b3o26bo2b2o$192bo36b2o172bo433bo134bo$228b3obo394bob
2o340bo2bo19b2o5b3o$134bo92b6o70b2o2b2o35bo281b2obo210bo153b2o$128bo6b
o92b3obo70b6o34b3o17bo55bo420bo$126bo2bo5bo93b2o59b2o11b2o2b2o34b3o16b
3o161bo75b3o234bo61bo$27bo98b3o162bo40bo2bo8bo17b3o53b2o106b2o192b4o
28bo52b2o91b2o56bo$127bo119b2o82b2o2b2o167bo98bo115bo4bo25bobo52bo26bo
$247bo84bo2bo83bo298b8o26bo$86b2o2b2o201bo4bo201bo61bo156bo4bo$86b6o
200b3o2b3o198bob2o59b2o157b4o150bo$86b2o2b2o189bo11bo4bo199b5o371b2o$
280b2o194bo2bo18bob2o30b2o312b3o$211b4o215bo44b2o2b2o51bo313b3o67bo$
211b5o260bo2bo140b3o223b3o66b2o$211b4o213bo69bo122bo224b3o55bobo27bo
80bo$444bo106bo45bo22bobo224bo50bo2bo3bo27bo35bo45b2o$16b2ob2o423bo
175bobo9b2o160b2o37bo67b2o30bo35b2o$16bo225b2o254bo99bobo18b5o8bo162bo
33bob5o5b2o57b3o4bo23bobobo$20bo142b2o78bo48bo306b2o19b3o206b2o2b4o4bo
59b3o27bobobo$163b3o81bo43b2o71bo12bo242b3o206bob5o96b3o50bo$12bo60b2o
88b2o15b2obo62b2o25b2o50b3o16b3o16b3o11b2obo69bo146bo23bo211bo97bobobo
$11b3o57bobo165bo33bobo50bo35b5o7bo2bo2b2o68b2o144b2o7bo326b3o$67b5obo
199bo2bo48b3o17bo15b7o7bo194b2o24b3o5b2o$68bo2bobo164b3o33b3o49bo35b5o
50bo60b2o91bo416b2o$11b3o59b2o288b3o50bo62bo52bo455bo$12bo170bo180bo
114bo241bo66bo185b2o$201bo487bobo95b3o183bo$102bo97b3o229b2o42b2o28bo
466bo$102bobo94b5o191b3o35bo33b2o36b2o2bo176bo178bo9bo$102bo96b5o190bo
bobo9b2o57b2o7bo29bobo256bo21b3o74b2o$98b3o84bo15bo192b5o9bo355b2o22bo
$97bobobo17bo80b3o183bo7bobobo$96bob3obo16b2o19bo122b3o16bob2o99b3o7b
3o315bo111b2o$55bo40b7o161bo16bobo2bo97b5o173bo219bo42bo7b3o$14bo40bo
40bob3obo122bo38bo16b7o58b2o2b2o31b7o180bo141bo70bo48bobobo$13b3o3bo
77bobobo100b2o19bob2o36b3o15bobo2bo59b6o30b9o113bo55b3o7b2o36b4o221b3o
17bo$55bo42b3o102bo19bob3o54bob2o60b2o2b2o31b7o113b2o77bo24b5o172bo47b
obobo15b2o98b2o43bo$15bo5bo204bo157b5o107b2o82bobo25b4o142b2o28b2o46bo
bobo114b3obo35bo5b2o$16bo107b2o175bo83b3o54bo53bo85bo2b2o65bo101b2o28b
o48b3o27bo22bo63b6o34b2o$15b2o107b2o260bo32bobo21b2o140bo248bo27b3o21b
2o63b3obo$4b2o8bo31bo75b4o61bo112b3o117bo440b5o25b2o59b2o30b3o$4bo40b
3o51bo59bo111b2o500b3o84b7o25bo92bo$11bo174b2o83bo131b3o15bo30bobo19bo
81b2o215b2o86b5o119bo$10bobo40bo44bo150bo153b3o14bo31b2o19b2o81bo217bo
87b3o118bobobo$11bo33b3o4bobo46bo84bo61bo65b2o87b3o13b3o30bobobo317bo
17b2o10b2o57bo121bo$46bo5b2o261bo87b3o14bo34bo52b2o4bo5bobo4b2o190bo
48bo7bo15b2o10bo17bo68bo$404bo105bo10bo6bo244b2o45bo21bo3bo44bobo91bo$
217bo115bo160bo226bo98b2o69bo61b2o29b3o$29bo97bo47bobo233bo76bo5bo69b
4o251b2o133bo5bo24bo$18bo9b2o96b3o45bo2bobo316b2o22bo43b2ob2o66bo184bo
$17b2o106b5o45bo54b3o255bo75b4o417bobo$71bo52b7o98bobobo183bo69bo167bo
155bo93b2o80bobo$49bo21b2o52b5o99b5o183b2o236bo154b2o94bo$42b3o4b2o75b
3o100bobobo450b2o125b2o$43b2o82bo43bo58b3o180bo241bo28bo115bo$43bo76b
2o35bo12b2o39bo200b3o384b3o$42bo25bo52bo8bo25b3o51bo201b3o384b3o10bo
61bo$43bo3bo20b2o33bo51b5o51bo199b5o383b3o9b3o22bo33bob5o31bo$41b3o57b
obo30b2o20b3o253bobo166bo217b3o9b3o21b3o32b2o2b4o29b3o$42bo59bo29bo2bo
21bo254bobo111bo208bo64bo35bo33bob5o30b3o$133bo279bo151bo80b2o88bo74b
3o20bobobo35bo13b3o16b3o90b2o$134bo162bo114b3o38bo60b3o48b2o78b3o186bo
bobo68b3o91bo$65bo448b3o129b2o90bo96b3o51bo71b2o45bo$67bo19bo45b2o98bo
281bo37bo183bo98bo124bobo$45b2o17bo22b2o64bo49b2o27b3o232b2o46bo37b2o
184bo144bo55b2o21bo$46bo30bo74b3o39bo9bo26b5o231b2o45b3o13bo132bo20bo
197bobo55b3o18bo2bo$76b3o73bobo37b2o38b3o279b3o145b2o20bobo72bo124bo
56bo$76b3o73bobo78bo40b2o254bo3bo149bo73b2o$77bo74b3o37b3o80bo254bo62b
o326b2o$153bo38b3o336bo2bo152b2o231b2o$192b3o492bo$186b3o2bobobo202b3o
268bo$187bo3bobobo201bobobo49bo5b3o$44bo86bo54b3o2bobobo39b3o160b3o50b
2o4b3o208b3o$43b3o85bob3o51bo4b3o40bo161bobobo55b3o485bo$42bobobo81b2o
2bo2b2o98b3o119b3o37bobobo55b3o239bo102b2o14bo$44bo85bo2b3o184bo34bo2b
o2bo17bo18b3o57bo242bo17bo57bo22bob3o12b2o190b3o$42bobobo272b3o32b3o3b
3o16bobo17bo70bobo109b2o113b2o20b2o55b2o22b6o166bo2bo34bo$43b3o125bo
147b3o33bo2bo2bo17bo90bo112bo6bo108bo100bob3o166b2o2b2o31b5o$44bo125b
2o147bo37b3o15b2o93b2o118b2o174b5o31b2o168bo2bo32b5o$318bo2bo52b3o389b
obobo89bo148b3o$203bo97bo73b2o390b3o90b2o95b2o51bo$203b2o21b2o72b2o14b
o12bo211bobo95b2o127bo125bo62bo45bobo$225bo89b2o3bo8b2o210b4o95bo101bo
19b2o232bo$59b2o164bo93bo221bobo105bo113bo$60bo57b2o106bo92bo328b3o$
119bo108bo89bo328b5o226b3o$226b3o87bo329b7o128bo63b3o$197b2o102bo13bob
2o28b2o116bobo39b2o91b2o49b3o78b2o45bobobo24bobo35bo32bo86b2o$197bo
149bo59bo56b3o40bo92bo47bo2b2o79b2o45b5o23b4o33b5o119bo$17bo288bo99b2o
58bo137bo35bo9bo128bobobo24bobo21bo11b5o87b3o29bo$17bobo325b2o118b3o
135bobo33b2o8bobo120bo8bo48bobo12b3o87bobobo$17bo157b2o46bo122bo256bo
44b2o122b2o6bo51bo13bo88b5o60b2o$175b2o426bobo45b2o282bobobo62bo$468bo
179bo189bo97b3o61b2o$170bo233b3o16bo223bob2o186b3o25bo117bo$167bob3obo
229bobobo187bo105bo136bo26b2o$167b2o3b2o139bo4bo83bob3obo115bo70b2o
104b2o134b3o158bo$167bob3obo30b2o106b3o2b3o82b7o110bobo169b2o106bo$85b
o84bo33bo108bo4bo83bob3obo109b4o119bo50bo6bo38b2o61bo199bo$376b2o25bob
obo111bobo118b2o97bo57b3obobo188b2o6b2o15b2o$121b2o64bo2bo58bo126bo27b
3o86bo47bo260b3o188bo5bo17b2o$121bo66b2o58bobo241b2o47b2o205bob2o49bob
o38bobo101bo$188b2o45b2o12bo379b2o5b3o108bobo2bo91bo$124b2o109bo394bo
4bobobo107b7o90bo$68bo56bo217bobo11bo277b5o107bobo2bo$15b2o25bo21bob5o
19b2o82bo181b3o70b2o204bobo110bob2o221b3o$15bo27b2o19b2o2b4o18bo82b3o
180b3o277b2o81bo253bo$39bobo22bob5o75bo27bo181b3o71b2o207b2o164bo169bo
$40bobo25bo287b3o279bo3b2o103bob3o61bo112bo$638b4obo102b3o2bo61b2o$
113b3o523bobobo102b5o$113b3o161bo92bo160b2o106bobobo40b3o58b5o43bo137b
obo16b2o$113b3o34b2obo29bo92b2o94bo158b3o106b3o42bo60bobo73b2obo99bo
24b2o18bo$113b3o33bo2bobo26bo187bobo160bo97b3o8bo43bo60bobo75bo100bo
45bo$112bo35b7o435bo40bo52b3o60bo72bobo2bo100b2o$111b2obo34bo2bobo116b
obo194b2o104bo14b3o37b5o51bo60b3o75bo$110bo2bobo34b2obo17bo100bobo10bo
183bo118b5o36b5o$109b7o54b2o99b2o11b2o288bo14b3o38b3o67b3o204b2o$110bo
2bobo242bo231bo40bo54b2o12b3o205bo$44b2o65b2obo16bo226bobo326b2o12bo$
43b4o83b3o5bo78bo140bo228b2o3b2o91bobo3bo11bo11bo$44b2o83b5o4bo77b2o
350bo17bo2b3o2bo29b2o2b2o55b2o3bo10bo12b3o99bo$128b4o311bo122bo2bo17bo
2bo2bo29b7o73bo$50bo78b3obo6b2o423bo2b2o19b3o32b2o2b2o59bo2bo3b3o67b4o
230b2o9b2o$49bo62bo17b2o7bo105bobo12bo304b3o123bo3bobobo14b3o49b5o55bo
171bob3o8bo$112b2o17b2o112b4o228b2o86bobobo121bo3b5o15bo50b4o228b6o$
71bobo60bobo108bobo68bo160b3o86b3o126bobobo124bo173bob3o$71bobo403b2o
217b3o124b3o151bo22b2o$44bo27bo314bo435b3o67b2o82b2o$44b2o475bo4bo178b
3o116bo69bo31bo$230bo62bo227bobobo399b2o$292b2o229bo30b2o36bo113bo$20b
o266b3o133bo132bo33bobo254b3o$19b3o264bobobo131b2o27b2o103bo35bo74b2o
177bobobo143b2o$18b5o262bob3obo160bo37bo3b3o170bo179b3o18b3o123b2o$18b
5o80bo181b7o197bo4bo237bo113bobobo18bo$20bo9b2o71bobo179bob3obo202bo3b
3o28bo140bo61b2o112bobobo17b3o$19b3o8bo31b2o15bo23bo49bo132bobobo209bo
28b2o16bo36bobo82b2o176b3o19bo$15bo46bo15b2o73b2o132b3o207b5o44b2o44bo
185b2o68bo$14bo221b2o261bo45b4o230bo207b2o$117bo118bo268b2o39b2obo33b
3o34b2o126bo2bo193bo40bo$116bo51b2o4bo113bo79bo81b3o51bo42bo34bobobo
34b2o124b2o2b2o23bo168b2o39bo2bobo$130b4o36bo197b2o29bo71bo32bo77b5o
33b2o68bobo5bo49bo2bo148b2o29bo22bo32b2o$130b5o33b2o3bobo275bo130bobob
o103bo4bo73b3o17bo110bo$130b4o41bo224bo4b3o63bo111b3o99bo4bo2b2o2b3o
69b3o128bo14bo12bo$173bo22bo208b3o63bo222bo2bobo69bobo128b3o13bo$75b3o
96bo230b3o35b2o27b2o220bo14bo14bo44bobo26bo101bo$62b2o108bobo230b3o36b
o264bobo190bo$62b2o13bo96bo61b3o120bo46bo245bo37bo18bo84bo29b2o12bo59b
2o9bobo$9bo38bo125b2o161bo289bo26bo34b3o132b2o83bobo$9b2o34bo2b2o187bo
388b3o9bo9b2o38bobobo204b3o9b2obo$171bo211b2o263b2o38bobobo84bo106b2o
12b3o56b3o$75bo307bo61b2o64bo175b7o82b2o107bo13bo56bobobo$74b2o101b2o
10b2o59bo194bo180b3o58b7o261bob3obo$75bo101b2o11bo11b2o45b2o25bo2bo21b
o208b3o114bo59b7o261b7o$128bo55bo18bo72b4o20bobo40b4o340b7o261bob3obo$
91bo35b2o50b2ob3o85bobo3bo2bo2bo59b5o340b6o263bobobo$178b2o4bo84b4o70b
4o112bo93bo135b3o2b2o261b3o$91bo87bo90bobo185b2o230bob2obo119bo141bo$
68b4ob2o112b2o138bo297bo62bo14bo110bobo140bo$58b2o7bo3b3o113bo85b2o51b
3o92bo203b2o60bo13b3o32bo76bobo141b2o$58bo9bo204bo51b5o252b3o103b2o13b
3o108bo$132bo193b3o16bo237bo93bo26bo262b2o$28bo102b2o194bo255bo92b2o
26bo262bo$135bo445bobobo62bo162bo$320bo159bo102bo24bobo36bo162b2o158bo
$20b2o100b3o71bo122b2o158b2o127b2o35bo2bo$21bo57bo15b2o26bo71b2o386bo
62bo$71bo24bo25b3o161bo47b2o246b3o23b3o35bo164bo$123bo161b2o48bo87bo
122bo36bo25bo199b3o203b2o2b2o$114bo428b2o2bo212bob2obo45b3o98b3o100b6o
$29b2o82b2o345b4o81bo214b3o49bo202b2o2b2o$29bo429b5o78b3obo38b2o173b2o
3bo46bo101bo$305bo154b4o78b5o38b2o157bo148b2o$237bo305b3o345b2o94b2o
24bo$233bo106bo18bo103b3o78bo442bo23b5obo$28bo207b3o101b2o122bo545b4o
2b2o$360b2o32bo67b5o161bo49bo332b5obo$145bo85bo127bo33b2o6b2o59b5o157b
o52b3o333bo$26b2o115b2o185b3o68bo61b3o86bobo121b5o$28bo56bo59bo124bo
61bo131bo89bo120b7o311bo$26bobo56b2o56bo2bo122b2o59bobo221bo121b4o2bo$
27b2o115bobo29b2o21bo390b3o84b4o201bo93bo$174bo25bo388bobobo84bo2b3o
197b3o$26b3o145b3o21b2obo387bob2o158b2o39b2o87bobo92bo$199bobo386bo4bo
91b2o65bo39bo86b3o2bo91bo36b3o$68b2o129bo46b2o102bo156bo82bo2bo94bo
286bo37b3o$68bo177b2o28bo94bo134b2o82bobo92bo31bo158bobo2bo2bo90bo37bo
$370b2o313bo2bobo27bo91bo64bo2bo29bo104bo$160b3o185b3o333b4o94bo27b2o
64bo31b2o89b3o$30bo128bobobo173bo11bo151bo43bo64bobo72bo173bo34bo103bo
bobo$29b3o80bo20b2o24b5o172b2o146b2o14b2o107b4o72b3o206bobo25b2o74bobo
bo$28b5o102bo23bobobo104bo213bob3o123bobo58bo14bo207bo28bo63bo10bobobo
$29b3o110bo17b3o319b6o62bo119b3o31bo281b2o$30bo424b3o24bob3o41bo20b3o
117b5o30bo108bo48bo96bo29bo8b5o$96bo94bo135bo98b2o29b2o25b2o63b3o32b2o
82b7o28b3o282b3o$95bo331bo99b3o18b5o32bo39bo43b5o187bo126b3o15b4o$73b
2o2b2o362b2obo104bobo71bobo44b3o240bo74b3o14b5o$73b6o29bobo11bo219bo
99bob2o103bobo73bo45bo241bo73bobobo14b4o$24bo48b2o2b2o29bobo10b2o427bo
363b2o72b3o$106b7o436b3o15bobo159b2obo186bo67bo3bo$83b3o19b9o444bo8b4o
11b2o144bo2bobo185b2o68bo$96b2o8b7o210bo114b2o117b2o8bobo13bo143b7o
254b3o$84bo11bo11bobo211b3o16bo96bo289bo2bobo254b3o$108bobo211b3o16b2o
374bo11b2obo207bobo5bo$322b3o369bo21b3o221b4o2b4o$18b3o301b3o115bo4bo
127bo17b3o121b5o220bobo5bo$18b2o419b3o2b3o43bo82b2o15bobobo7b2o112b3o
210bo$18b2o63bo219b2o135bo4bo11bo31b3o97bob3obo6b2o113bo10bo161b3o104b
2o$82b2o7bo210bo2bo151b2o29b5o96b7o73b2o46bo10b2o151bobo7bo105bo$89bob
o199bo10bobo108b3o63bo9b3o16b2o79bob3obo72b2o46b3o162bo8bobo61bo51b3o$
91bo198b3o10bo30b2o76b2o65b2o9bo18bo80bobobo74bo45b5o22b2o139bo6bobo
60b3o49bobobo$291bo42b2o76b2o31bo31bo113b3o122b3o23bo146b5o4bo17bo35b
5o48b5o$445b2o116bo145bobo5bo172b3o4b3o54bo50bobobo$27bo2bo531b3o128bo
196b3o5bo53bobobo49b3o$22bo4b4o260bo88bo15b2o163b5o28bo96bobo74b2o54b
2o10b3o2bo49bo62bo$21bobo3bo262b3o89bo13bo164b5o34bo45bo46bo74bo54b4o
9b3o2b2o110b3o$23bo7b2o122bo135bo87b3o181bo29b2o2b6obo23bo16b3o176b2o
11b2o59bo55bo$21bobo8bo347bo118bo62b3o28b8o2b2o23b2o16b2o138b2o109b3o$
334b2o163bobo90b11obo179b4o49bo59b3o87bo$333b3o23bo139bo93b5o2bo180bo
4bo111bo87b2o$288b2o43b2obo257b2o$110bo95b2o150b3o$110bo96bo83bo$109bo
2bo178bo56b3o143b2o173bo86bo80bo70bo$289b2o58bo145bo158bo13b3o10bo$
285bo57bo4b3o70bo231b3o13bo9bobo235bo$267bo16b2o56b2o5bo98b2o202bobo
13b3o10bo219bo15b2o$357bo46bo44bo201bo2b2o244bo53bo$356b3o44b3o155bo
88bo22b4o86bo3bo$89bo267bo44b5o129bo24bo111bob2o69b2o15bo149bo$155b3o
55b2o37b2o102b3o15b2o26b5o261b2o5b2o70bo164b2o39bo3bo$61b3o6bobo81bobo
bo54bo38bo121bo29bo130b2o131bob3o2b3o224bo49bobob2o51b2o$69bobo83b3o
36bo112b2o94b3o262bo6bo2bobobo33bo222b2o10b2obob2o52bo$62bo8b2o81bobob
o82bo2bo39bo22bo361b3o5bo3b2o32b3o91b2o128b3o14b3obo$154bobobo82b4o
139b3o295bo33bo92bo45b3o81b2o3bobo5bobob2o$155b3o11bo58bo12bo2bo14bo
23b3o99bo293bo37bo33bo93bo108bob2o$156bo8bob5o57bo153b5o362b2o92bobo9b
o64bo$165b2o2b4o53bo69bo88bo458bo$165bob5o55bo67b2o33b2o52b3o409b2o
181bo$45b3o80bo40bo126bo2bo30bo174b3o223b2o63bo19bo161b2o$298bo206b3o
224bo82b2o40bo$46bo251bo79b2o125b3o348b2o$119b3o256bo2$119b3o!

Code: Select all

x = 8, y = 13, rule = B3aeij4cekrtz5cqry6-ai7/S2cn3-aqr4eiy5eijkq6-a7c8
2bo$b3o$5o$b5o$2b5o$3b5o$2b5o$b5o$5o$4o$3o$2o$o!

Code: Select all

x = 12, y = 12, rule = B2e3aijky4ajrt5ai6c7c8/S1c2-in3nr4actw5aejqr6cen7c8
2o$2o$obo$b2o6$8b2o$8bob2o$9b3o!

User avatar
muzik
Posts: 6558
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » May 5th, 2021, 12:15 pm

Finding interesting stuff is hard:

Code: Select all

x = 16, y = 9, rule = B2ci3aijy4art/S3ar4aqr5iq6ac7e
3$6b3o$6b3o!
T-square generator:

Code: Select all

x = 6, y = 6, rule = B2ci3aijy4art/S3ar4aqr5iq6ac7e
2o$2o$3b3o$3b3o$2o$2o!
This rulespace might be interesting:

Code: Select all

x = 19, y = 19, rule = B2ci3aijy4art/S3ar4aqr5iq6ac7e8
7bo$6b3o$6b3o$7bo3$b2o$4o$b2o2$16b2o$15b4o$16b2o3$11bo$10b3o$10b3o$11b
o!

Code: Select all

x = 31, y = 79, rule = B2ci3aijy4art/S3ar4aqr5iq6ac7e8
24bo2$24bo5bo2$30bo2$22bo2$22bo5bo2$28bo2$20bo2$20bo5bo2$26bo2$18bo2$
18bo5bo2$24bo2$16bo2$16bo5bo2$22bo2$14bo2$14bo5bo2$20bo2$12bo2$12bo5bo
2$18bo2$10bo2$10bo5bo2$16bo2$8bo2$8bo5bo2$14bo2$6bo2$6bo5bo2$12bo2$4bo
2$4bo5bo2$10bo2$2bo2$2bo5bo2$8bo2$o2$o5bo2$o5bo2$o!
Puffers exist:

Code: Select all

x = 3, y = 12, rule = B2ci3aijy4art/S3ar4aqr5iq6ac7e8
3o$3o9$3o$3o!
Parity Replicator Collection v1.6 is now live - please send all relevant discoveries here.

User avatar
cgoler2
Posts: 224
Joined: March 10th, 2021, 2:32 pm
Location: Living in a half-bakery

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by cgoler2 » May 5th, 2021, 4:49 pm

This rule has a very high-period c/2 orthogonal spaceship, and other technology based on the B-heptomino.

Code: Select all

x = 80, y = 28, rule = B35r/S23-y4z
35bo$32b3o$31b4o$16bo13b2obo$15b3o$14b5o15bo$2bo10b2o3b2o12bobo$bo12b
5o12bo2bo$2o13b3o8b2o4b2o4b2o$b2o8bo4bo9bo5bo5b2o16bo12b3o5b3o$2bo7bob
o14bo27bobo12bo7bo$9bo2bo41bo3bo11bo7bo$10b2o43b3o$19b2o$19b2o$10b2o
43b3o$9bo2bo41bo3bo11bo7bo$2bo7bobo14bo27bobo12bo7bo$b2o8bo4bo9bo5bo5b
2o16bo12b3o5b3o$2o13b3o8b2o4b2o4b2o$bo12b5o12bo2bo$2bo10b2o3b2o12bobo$
14b5o15bo$15b3o$16bo13b2obo$31b4o$32b3o$35bo!

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