Code: Select all
x = 4, y = 7, rule = B35/S23
2o$obo$o2bo$bobo$o2bo$obo$2o!
CA-specific threads: B35/S236, B35/S23, B35/S238, B357/S23, B357/S238, B3578/S23,
Rakes and guns
There are rakes for it in B35/S23 and in B357/S238 and probably in other CA.
There is a known gun in B35/S236. (Are there other CA with known guns?)
Is there a gun in some CA where glider 3736 is the most common spaceship?
Code: Select all
#C https://www.ics.uci.edu/~eppstein/ca/b35s236/guns.html
#C https://www.ics.uci.edu/~eppstein/ca/b35s236/widebody-factory.lif
#C p68 wide 2c/5 spaceship factory, DE 7 May 1998
x = 91, y = 83, rule = B35/S236
62bo$62bo$61bo$62bo$57bo5bob2o$56bobo5bo5bo7bo$56bob2o10bo6bobo$56bob
2o9b3o$56bo3b2o7b3o3bo2b2o$56bo3b3o6b3o2bo2bo$63bo11bobo$35bo22b5o$36b
o$36b2o44b3o$36bobo31bobo11bo$37b3o29bo2b2o8b2o$18b3o19bo12b2o15bobo
13b2o$17b5o21b3o6bo32bobo$16bobo2bo21b3o6b3o30bobo$17b2ob2o22bo7bo10b
2ob2o$17b4o28b3o11b2o2bo$19bo3b3o11bo10bobo10b2ob4o$22b2ob2o8b2ob2o8bo
bo10b3o$21b2o2b2o8bo3bo23bo$22b5o9bob2o21bobo$15bo6b2obo10bobo22b3o$
12b3o9bo6b2o4bo$11bobo17bob2o$11b2o17bo4bo$11bo19bob2o$10bo20b3o$68b2o
9bo$67bobobo6bobo$2o26bo38b2o2bo$3o10b2o13bo11b3o24b3ob2o5b3o$3bo9b3o
11b3o8b5o25bob2o7bo$3b2o8b2o12b3o10b3o25b3o$3b2o22b3o2$85bo2bo$7bo37bo
39bo2bo$8bo24bobo8bobo14b2o6bobo16b3o$6bo2bo22bo2b2o5b4obo13b3o4bob2o
13b3ob2o$8bo24bobo5b3o2bo14b2o6bobo16b3o$7bo77bo2bo$85bo2bo$8bo$8bo$9b
o30b3o25b3o$8bo29b5o25bob2o7bo$4b2obo32b3o24b3ob2o5b3o$6bo60b2o2bo$25b
obo39bobobo6bobo$25bobo40b2o9bo$26b3o$29bo$29b3o$29bo$30b2o29bobo$61bo
bo$14bo4b2o41bo$13b3o3b3o24bobo16b2o$13b3o6bo22b2ob2o14bo$22b2o22b2o2b
o14b2o$22b2o26b2o$7bobo39bo35b3o$7bobo27b2ob2o7b3o16bobo14bobo$5b2obo
28b2o2bo8bo16bo2b2o11b2o2bo$7bo27b2ob4o26bobo12bo$5b2o28b3o45b3o$37bo$
35bobo22bo14bo$35b3o21b2o12b2obo$60bo16bo$57bo11bobo6bo$56b3o10bobo2bo
4bo$65b2o3bo3bo5bo$64b3o8b2o2bo$63bo15bo$62bo$61bo$60b2o4bo$60b2o3bo!
Consecutive phases, numbered for convenience:
Code: Select all
x = 57, y = 16, rule = B35/S23History
33.A9.A8.3A$13.A8.3A7.A.A7.3A6.A3.A$2.3A7.3A7.3A6.A3.A5.2A.2A4.A2.A2.
A$.A3.A5.A3.A4.3A.3A4.A3.A4.2A3.2A3.3A.3A$A2.A2.A3.2A.A.2A6.A7.A.A.A$
3A.3A3.7A6.A9.A9.A$11.A3.A4.2A.A.2A5.A.A8.A5$4.3D7.2D8.3D7.3D7.D.D7.
3D$4.D.D8.D10.D9.D7.D.D7.D$4.D.D8.D8.3D7.3D7.3D7.3D$4.D.D8.D8.D11.D9.
D9.D$4.3D7.3D7.3D7.3D9.D7.3D!
Two-glider collisions
The set of all 2G collisions is almost the same for all CA where the glider works.
Code: Select all
x = 203, y = 201, rule = B35/S23History
203F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F
49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F
49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F11.3D.3D3.D9.7B11.F
11.3D.3D3.D9.7B11.F11.3D.3D3.D9.7B11.F11.3D.3D3.D9.7B13.F$F11.D.D.D.D
3.D9.7B11.F11.D.D3.D3.D9.7B11.F13.D.D.D3.D9.7B11.F13.D3.D3.D9.7B13.F$
F11.D.D.D.D3.D9.7B11.F11.D.D.3D3.D9.2ABAB2A11.F11.3D.D.D3.D9.7B11.F
11.3D.3D3.D9.2ABAB2A13.F$F11.D.D.D.D3.D9.7B11.F11.D.D.D5.D9.3BA3B11.F
11.D3.D.D3.D9.7B11.F11.D3.D5.D9.3BA3B13.F$F11.3D.3D.D.3D7.3AB3A11.F
11.3D.3D.D.3D7.3BA3B11.F11.3D.3D.D.3D7.3AB3A11.F11.3D.3D.D.3D7.3BA3B
13.F$F31.A2BA2BA11.F31.3AB3A11.F31.A2BA2BA11.F31.3AB3A13.F$F31.BA3BAB
11.F31.2B3A2B11.F31.BA3BAB11.F31.2B3A2B13.F$F31.2B3A2B11.F31.2B3A2B
11.F31.2B3A2B11.F31.2B3A2B13.F$F31.7B11.F31.7B11.F31.7B11.F31.7B13.F$
F31.7B11.F31.7B11.F31.7B11.F31.7B13.F$F31.7B11.F31.7B11.F31.7B11.F31.
7B13.F$F31.7B11.F31.7B11.F31.7B11.F31.7B13.F$F31.7B11.F31.7B11.F31.7B
11.F31.7B13.F$F31.7B11.F31.7B11.F31.7B11.F31.7B13.F$F7.D23.7B11.F7.D
23.2DBDB2D11.F7.D23.7B11.F7.D23.2DBDB2D13.F$F7.D23.7B11.F7.D23.3BD3B
11.F7.D23.7B11.F7.D23.3BD3B13.F$F7.D23.3DB3D11.F7.D23.3BD3B11.F7.D23.
3DB3D11.F7.D23.3BD3B13.F$F7.D23.D2BD2BD11.F7.D23.3DB3D11.F7.D23.D2BD
2BD11.F7.D23.3DB3D13.F$F7.3D21.BD3BDB11.F7.3D21.2B3D2B11.F7.3D21.BD3B
DB11.F7.3D21.2B3D2B13.F$F31.2B3D2B11.F31.2B3D2B11.F31.2B3D2B11.F31.2B
3D2B13.F$F4.2D5.4B2A10B2D12B8.F4.2D5.4B2A10B2D12B8.F4.2D5.2BA2BA8BD2B
D12B8.F4.2D5.2BA2BA8BD2BD12B10.F$F3.2D6.4BABA9BDBD11B8.F3.2D6.4BABA9B
DBD11B8.F3.2D6.2BA2BA8BD2BD12B8.F3.2D6.2BA2BA8BD2BD12B10.F$F2.2D7.4BA
2BA8BD2BD10B8.F2.2D7.4BA2BA8BD2BD10B8.F2.2D7.5B3A9B3D10B8.F2.2D7.5B3A
9B3D10B10.F$F.9D.5BABA9BDBD10B8.F.9D.5BABA9BDBD10B8.F.9D.2B3AB2A6B3DB
2D10B8.F.9D.2B3AB2A6B3DB2D10B10.F$F2.2D7.4BA2BA8BD2BD10B8.F2.2D7.4BA
2BA8BD2BD10B8.F2.2D7.5B3A9B3D10B8.F2.2D7.5B3A9B3D10B10.F$F3.2D6.4BABA
9BDBD11B8.F3.2D6.4BABA9BDBD11B8.F3.2D6.2BA2BA8BD2BD12B8.F3.2D6.2BA2BA
8BD2BD12B10.F$F4.2D5.4B2A10B2D12B8.F4.2D5.4B2A10B2D12B8.F4.2D5.2BA2BA
8BD2BD12B8.F4.2D5.2BA2BA8BD2BD12B10.F$F31.7B11.F31.7B11.F31.7B11.F31.
7B13.F$F31.7B11.F31.7B11.F31.7B11.F31.7B13.F$F31.7B11.F31.7B11.F31.7B
11.F31.7B13.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F
49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.
F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$203F$F49.F49.F49.F51.F$F49.F49.
F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F
49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F
49.F49.F49.F51.F$F11.3D.3D.3D3.D23.F11.3D.3D.3D3.D23.F11.3D.3D.3D3.D
23.F11.3D.3D.3D3.D25.F$F13.D.D3.D5.D23.F13.D.D5.D3.D23.F13.D.D3.D.D3.
D23.F13.D.D3.D.D3.D25.F$F11.3D.3D.3D3.D23.F11.3D.3D3.D3.D23.F11.3D.3D
.3D3.D23.F11.3D.3D.3D3.D25.F$F13.D3.D.D.D3.D10.D12.F13.D3.D3.D3.D11.D
11.F13.D3.D.D.D3.D12.D10.F13.D3.D3.D3.D13.D11.F$F11.3D.3D.3D.D.3D7.3D
11.F11.3D.3D3.D.D.3D8.3D10.F11.3D.3D.3D.D.3D9.3D9.F11.3D.3D.3D.D.3D
10.3D10.F$F34.5D10.F35.5D9.F36.5D8.F37.5D9.F$F33.2D.D.2D9.F34.2D.D.2D
8.F35.2D.D.2D7.F36.2D.D.2D8.F$F29.2A2.D2.D2.D9.F30.2A2.D2.D2.D8.F31.
2A2.D2.D2.D7.F32.2A2.D2.D2.D8.F$F28.A.A5.D12.F29.A.A5.D11.F30.A.A5.D
10.F31.A.A5.D11.F$F27.A2.A5.D12.F28.A2.A5.D11.F29.A2.A5.D10.F30.A2.A
5.D11.F$F21.6DA.A6.D2.D9.F21.7DA.A6.D2.D8.F21.8DA.A6.D2.D7.F21.9DA.A
6.D2.D8.F$F16.3A8.A2.A5.D2.D9.F16.3A9.A2.A5.D2.D8.F16.3A10.A2.A5.D2.D
7.F16.3A11.A2.A5.D2.D8.F$F14.A4.A8.A.A8.D9.F14.A4.A9.A.A8.D8.F14.A4.A
10.A.A8.D7.F14.A4.A11.A.A8.D8.F$F15.2A3.A6D2.2A8.D9.F15.2A3.A7D2.2A8.
D8.F15.2A3.A8D2.2A8.D7.F15.2A3.A9D2.2A8.D8.F$F14.A4.A19.3D7.F14.A4.A
20.3D6.F14.A4.A21.3D5.F14.A4.A22.3D6.F$F16.3A30.F16.3A30.F16.3A30.F
16.3A32.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F
49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F
49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.
F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F
51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F
49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F
49.F49.F51.F$203F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F
51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F
49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F11.D.
D.3D.3D3.D23.F11.D.D.3D.3D3.D23.F11.D.D.3D.3D3.D23.F11.D.D.3D.3D3.D
25.F$F11.D.D.D3.D5.D23.F11.D.D.D5.D3.D23.F11.D.D.D3.D.D3.D23.F11.D.D.
D3.D.D3.D25.F$F11.3D.3D.3D3.D23.F11.3D.3D3.D3.D23.F11.3D.3D.3D3.D23.F
11.3D.3D.3D3.D25.F$F13.D3.D.D.D3.D10.D12.F13.D3.D3.D3.D11.D11.F13.D3.
D.D.D3.D12.D10.F13.D3.D3.D3.D13.D11.F$F13.D.3D.3D.D.3D7.3D11.F13.D.3D
3.D.D.3D8.3D10.F13.D.3D.3D.D.3D9.3D9.F13.D.3D.3D.D.3D10.3D10.F$F34.5D
10.F35.5D9.F36.5D8.F37.5D9.F$F33.2D.D.2D9.F34.2D.D.2D8.F35.2D.D.2D7.F
36.2D.D.2D8.F$F29.2A2.D2.D2.D9.F30.2A2.D2.D2.D8.F31.2A2.D2.D2.D7.F32.
2A2.D2.D2.D8.F$F28.A.A5.D12.F29.A.A5.D11.F30.A.A5.D10.F31.A.A5.D11.F$
F27.A2.A5.D12.F28.A2.A5.D11.F29.A2.A5.D10.F30.A2.A5.D11.F$F17.A3.6DA.
A6.D2.D9.F17.A3.7DA.A6.D2.D8.F17.A3.8DA.A6.D2.D7.F17.A3.9DA.A6.D2.D8.
F$F17.2A8.A2.A5.D2.D9.F17.2A9.A2.A5.D2.D8.F17.2A10.A2.A5.D2.D7.F17.2A
11.A2.A5.D2.D8.F$F18.2A8.A.A8.D9.F18.2A9.A.A8.D8.F18.2A10.A.A8.D7.F
18.2A11.A.A8.D8.F$F14.2A3.2A6D2.2A8.D9.F14.2A3.2A7D2.2A8.D8.F14.2A3.
2A8D2.2A8.D7.F14.2A3.2A9D2.2A8.D8.F$F18.2A19.3D7.F18.2A20.3D6.F18.2A
21.3D5.F18.2A22.3D6.F$F17.2A30.F17.2A30.F17.2A30.F17.2A32.F$F17.A31.F
17.A31.F17.A31.F17.A33.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.
F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F
49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F
49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.
F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F
51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F
49.F51.F$203F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F
49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.
F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F11.3D.3D.3D
3.D23.F11.3D.3D.3D3.D23.F11.3D.3D.3D3.D23.F11.3D.3D.3D3.D25.F$F11.D3.
D3.D5.D23.F11.D3.D5.D3.D23.F11.D3.D3.D.D3.D23.F11.D3.D3.D.D3.D25.F$F
11.3D.3D.3D3.D23.F11.3D.3D3.D3.D23.F11.3D.3D.3D3.D23.F11.3D.3D.3D3.D
25.F$F13.D3.D.D.D3.D10.D12.F13.D3.D3.D3.D11.D11.F13.D3.D.D.D3.D12.D
10.F13.D3.D3.D3.D13.D11.F$F11.3D.3D.3D.D.3D7.3D11.F11.3D.3D3.D.D.3D8.
3D10.F11.3D.3D.3D.D.3D9.3D9.F11.3D.3D.3D.D.3D10.3D10.F$F34.5D10.F35.
5D9.F36.5D8.F37.5D9.F$F33.2D.D.2D9.F34.2D.D.2D8.F35.2D.D.2D7.F36.2D.D
.2D8.F$F29.2A2.D2.D2.D9.F30.2A2.D2.D2.D8.F31.2A2.D2.D2.D7.F32.2A2.D2.
D2.D8.F$F28.A.A5.D12.F29.A.A5.D11.F30.A.A5.D10.F31.A.A5.D11.F$F27.A2.
A5.D12.F28.A2.A5.D11.F29.A2.A5.D10.F30.A2.A5.D11.F$F17.2A2.6DA.A6.D2.
D9.F17.2A2.7DA.A6.D2.D8.F17.2A2.8DA.A6.D2.D7.F17.2A2.9DA.A6.D2.D8.F$F
17.A.A7.A2.A5.D2.D9.F17.A.A8.A2.A5.D2.D8.F17.A.A9.A2.A5.D2.D7.F17.A.A
10.A2.A5.D2.D8.F$F17.A2.A7.A.A8.D9.F17.A2.A8.A.A8.D8.F17.A2.A9.A.A8.D
7.F17.A2.A10.A.A8.D8.F$F18.A.A6D2.2A8.D9.F18.A.A7D2.2A8.D8.F18.A.A8D
2.2A8.D7.F18.A.A9D2.2A8.D8.F$F17.A2.A18.3D7.F17.A2.A19.3D6.F17.A2.A
20.3D5.F17.A2.A21.3D6.F$F17.A.A29.F17.A.A29.F17.A.A29.F17.A.A31.F$F
17.2A30.F17.2A30.F17.2A30.F17.2A32.F$F49.F49.F49.F51.F$F49.F49.F49.F
51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F
49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F
49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F
49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.
F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F51.F$F49.F49.F49.F
51.F$F49.F49.F49.F51.F$203F!
The set of 180-degree collisions is split into 3 subsets, labeled 35D.L, 45D.L, 55D.L (with D = 6..9 and L >= 0). The first two digits are phases of two colliding gliders (if necessary, rewind the collision until at least one of two gliders is in phase 5; then, if the other glider happens to be in phase 1 or 2, rewind the collision further by 1 or 2 ticks respectively so that the other glider is in phase 5). D is the number of empty columns between the colliding gliders. L is the lane difference.
Two examples of collisions:
Code: Select all
#C 02.16 and 557.8
x = 35, y = 61, rule = B2i3-n5/S023History
25.2A.A.2A$28.A$28.A$4.3D.3D4.D2.3D4.3A.3A$4.D.D3.D3.2D2.D8.3A$4.D.D.
3D4.D2.3D6.3A$4.D.D.D6.D2.D.D$4.3D.3D.D.3D.3D5$25.2DBDB2D$25.3BD3B$
25.3BD3B$25.3DB3D$25.2B3D2B$25.2B3D2B$3.A17.2D12B$3.2A16.DBD11B$4.2A
15.D2BD10B$2A3.2A14.BDBD10B$4.2A15.D2BD10B$3.2A16.DBD11B$3.A17.2D12B$
25.7B$25.7B$25.7B11$4.3D.3D.3D3.3D$4.D3.D5.D3.D.D$4.3D.3D3.D3.3D$6.D
3.D3.D3.D.D$4.3D.3D3.D.D.3D4$18.2A$17.A.A$16.A2.A$16.A.A$16.A2.A$17.A
.A$18.2A2$5.2A$5.A.A$5.A2.A$6.A.A$5.A2.A$5.A.A$5.2A!
- 00.L: 31 collisions (L = 0..30)
- 02.L: 31 collisions (L = 0..30)
- 20.L: 30 collisions (L = 0..29)
- 22.L: 31 collisions (L = 0..30)
- 35D.L: 36 collisions (D = 6..9, L = 0..8)
- 45D.L: 36 collisions (D = 6..9, L = 0..8)
- 55D.L: there are at least 32 collisions in all CA (D = 6..9, L = 0..7). In addition,
- 556.8 is a collision in CA with B2i and/or B4i;
- 557.8 is a collision in CA with B2i and/or B3n (with B2i A3n it makes a dot spark, which can survive with S0);
- 558.8 is a collision in CA with B3q;
- 559.8 is a collision in CA with B2i and/or B3n.