## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

### Re: Miscellaneous Discoveries in Other Cellular Automata

Almost a C/7 in Seeds:
x = 19, y = 63, rule = B2/S7bo3bo2$5bo7bo$4bo9bo2$8b3o$4bo4bo4bo$9bo$7bo3bo2$5bo7bo$3bobobobobobobo$4b2obobobob2o$9bo$9bo$7bobobo$3b2obo5bob2o$9bo$3b4o2bo2b4o$5bob2ob2obo$4bo4bo4bo$5bo7bo4$3bo2b3ob3o2bo$3b2o2bobobo2b2o$3b2ob2obob2ob2o$3bo5bo5bo$4bo9bo$8bobo$5bob2ob2obo$5bo2bobo2bo$6bo5bo2$9bo$9bo$6bob3obo2$8bobo$6bo5bo$4bo9bo$o3bobo5bobo3bo$bo3bobo3bobo3bo2$6bo5bo2$3bobo2bobo2bobo$3bobo7bobo$3b2ob3ob3ob2o$5bo7bo$5bo7bo$obo3b3ob3o3bobo$2bo2bobo3bobo2bo$bo15bo$5bobo3bobo$5bo7bo$5bobo3bobo$2b2o11b2o2$o6bobobo6bo$b2o13b2o$2b2ob4ob4ob2o! EDIT, the closest I've seen to a 4c/5 in a totalistic rule: x = 22, y = 10, rule = B2/S24bo4bo2bo4bo$3bob2o2bo2bo2b2obo2$3b2o12b2o$2b2o14b2o$6bo3b2o3bo$3bo4b2o2b2o4bo$ob2o4bo4bo4b2obo$o4bo10bo4bo$2bo3bob2o2b2obo3bo! Another 3c/5 wickstretcher besides velcrorex's: x = 37, y = 131, rule = B257/S0345683$12bo6bo$6bobobobobo2bobobobobo$5bo2bob2ob2o2b2ob2obo2bo$7b18o$7bo4b8o4bo$6b20o$7bo2bob8obo2bo$7bob4ob4ob4obo$6b5obob4obob5o$7bo2bobob4obobo2bo$7b6ob4ob6o$6b6ob6ob6o$7b3obob6obob3o$7bo2b12o2bo$6b5o2bob2obo2b5o$7b2ob5o2b5ob2o$7bo2b5o2b5o2bo$6b3obob8obob3o$7b2o2b4o2b4o2b2o$7bo3b10o3bo$6b3o4b2o2b2o4b3o$7b2ob2ob6ob2ob2o$7b3obob6obob3o$6b5ob8ob5o$7bobob10obobo$7b6o2b2o2b6o$6b2obo2b8o2bob2o$7bob3o8b3obo$7b3o12b3o$6b4o3bob2obo3b4o$7bo5b6o5bo$7b8o2b8o$6b2o3b4o2b4o3b2o$7bob2ob3o2b3ob2obo$7b3o2bob4obo2b3o$6b2ob2o2bob2obo2b2ob2o$7bob2obobo2bobob2obo$7b3ob10ob3o$6b3o2b10o2b3o$7b2obob8obob2o$7b3ob10ob3o$6b3obobob4obobob3o$7bo2b3ob4ob3o2bo$7bobob2obo2bob2obobo$6b3ob12ob3o$7b6ob4ob6o$7b4obob4obob4o$6b2ob6o2b6ob2o$7b3o2b2o4b2o2b3o$7bobobobo4bobobobo$6b4ob4o2b4ob4o$7bo2bob2o4b2obo2bo$7b4ob2o4b2ob4o$6b9o2b9o$7bo2b4o4b4o2bo$7bo2b4o4b4o2bo$6b2o2b5o2b5o2b2o$7b7o4b7o$7b2obob3o2b3obob2o$6b3ob3ob4ob3ob3o$7b2ob3o2b2o2b3ob2o$7b2ob12ob2o$6b9o2b9o$7b5obob2obob5o$7b3o3b6o3b3o$6b4o3b6o3b4o$7b18o$7bo2b12o2bo$6b20o$7b18o$7b2ob12ob2o$6b6o2b4o2b6o$7b18o$7bobo2bob4obo2bobo$6b4o2b3o2b3o2b4o$7bo2b4ob2ob4o2bo$7b5ob6ob5o$6b3o4b6o4b3o$7b2ob4o4b4ob2o$7b4obob4obob4o$6b2ob6o2b6ob2o$7b3ob2o6b2ob3o$7bo3bob2o2b2obo3bo$6b2ob3o2b4o2b3ob2o$7b3ob2obo2bob2ob3o$7bo3b3o4b3o3bo$6b2ob14ob2o$7b6ob4ob6o$7b5o2b4o2b5o$6b4ob10ob4o$7b2obob8obob2o$7b4o2bob2obo2b4o$6b4ob2obo2bob2ob4o$7b4obob4obob4o$7bob4o2b2o2b4obo$6b4ob4o2b4ob4o$7b2o3bo6bo3b2o$7b6o6b6o$6b4ob10ob4o$7bo3b3ob2ob3o3bo$7bob3o3b2o3b3obo$6b4obob6obob4o$7bo3b3ob2ob3o3bo$7bob3o3b2o3b3obo$6b4obob6obob4o$7bo3b3ob2ob3o3bo$7bob3o3b2o3b3obo$6b4obob6obob4o$7bo3b3ob2ob3o3bo$7bob3o3b2o3b3obo$6b4obob6obob4o$7bo3b3ob2ob3o3bo$7bob3o3b2o3b3obo$6b4obob6obob4o$7b2o2b4o3b5obo$8b5ob2o3bo4bo$10bobo2b2obo3b3o$9b8ob2ob4o$10bo2bo3b4o3b2o$19bo3b2o$18b6o$19bo2bo! Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 896 Joined: July 1st, 2016, 3:58 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata Pushing this thread back up with a 20c/56o x = 31, y = 10, rule = B2ein3aijnq4arw/S2-k3aei4eikrtwz11bo$10b2obo5bo6bobo$10bo3b2o2bobo$bo9bo3bo2b4o2b2o3b2o$o11bob2o3bo4b3ob3o$o11bob2o3bo4b3ob3o$bo9bo3bo2b4o2b2o3b2o$10bo3b2o2bobo$10b2obo5bo6bobo$11bo!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2767 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Miscellaneous Discoveries in Other Cellular Automata 40c/112 in the same rule: x = 392, y = 22, rule = B2ein3aijnq4arw/S2-k3aei4eikrtwz250b3o3$250b3o$63bo39bo104bo$62bo39bo45bo58bo38b2o$16b3o17b3o107bobo96bobobo120bo$15bo23bo106bo6bo95bo99bo9bo8bo$16b3o6bo3bo6b3o19bo7bo3bo7bo59bo6bo2bo3bo3b2o60bo28bobo48bo9bo27bo10bo3bo5bo3bo7bo7bo5bo$4b5o5b2o23b2o5b3o9bo6bo5bo6bo59bo6bob2o3bo65bo12bo66bo9bo28bo8bobobobo3bobobobo7bobo2bo2bo3bo2bo2bo2bo$2obo10b2o23b2o17bo19bo14b2o43bo5bo2bo4bobo5b2o56bo8b3o8b2o58bo9bo36bo7bobo7bo26bo$2obo10b2o23b2o17bo19bo14b2o43bo5bo2bo4bobo5b2o56bo8b3o8b2o58bo9bo36bo7bobo7bo26bo$4b5o5b2o23b2o5b3o9bo6bo5bo6bo59bo6bob2o3bo65bo12bo66bo9bo28bo8bobobobo3bobobobo7bobo2bo2bo3bo2bo2bo2bo$16b3o6bo3bo6b3o19bo7bo3bo7bo59bo6bo2bo3bo3b2o60bo28bobo48bo9bo27bo10bo3bo5bo3bo7bo7bo5bo$15bo23bo106bo6bo95bo99bo9bo8bo$16b3o17b3o107bobo96bobobo120bo$62bo39bo45bo58bo38b2o$63bo39bo104bo$250b3o3$250b3o!
There's probably a replicator
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### Re: Miscellaneous Discoveries in Other Cellular Automata

A 2c/3 wickstretcher in B2/S235:
x = 23, y = 79, rule = B2/S23511bo$10bobo$9b2ob2o2$9bobobo2$7b2obobob2o$6b2o7b2o$8b2obob2o$6bo9bo$9bo3bo2$5b3obo3bob3o$6b2ob5ob2o$3b2o13b2o$3bo3bo7bo3bo$2b2obo11bob2o$bo3bo11bo3bo$4bo6bo6bo$3b2o5bobo5b2o$4bobobo5bobobo$4bo2bo7bo2bo$4bob2obobobob2obo$4bo4b2ob2o4bo$4bob2o7b2obo$4bobo2bobobo2bobo$4bo2b2o5b2o2bo$4bo4b2ob2o4bo$4bo2b2o5b2o2bo$4bobo2b2ob2o2bobo$4bo2bo7bo2bo$4bo3b3ob3o3bo$4bo3bo5bo3bo$4bo5bobo5bo$4bo13bo$4bo2bob2ob2obo2bo$4bo3bo5bo3bo$4bo2bo2bobo2bo2bo$4bo5bobo5bo$4bo2bo7bo2bo$4bo3bo2bo2bo3bo$4bo3b3ob3o3bo$4bo2b2o5b2o2bo$4bo3bo5bo3bo$4bobobo5bobobo$4bo5b3o5bo$4bo2b2o5b2o2bo$4bo3bo5bo3bo$4bo3bo2bo2bo3bo$4bobobo2bo2bobobo$4bo3bo2bo2bo3bo$4bo3bo5bo3bo$4bo3bo5bo3bo$4bo3bo5bo3bo$4bo3bobobobo3bo$4bo3bo5bo3bo$4bo3bo5bo3bo$4bo3bo5bo3bo$4bo3bo2bo2bo3bo$4bo3bo5bo3bo$4bo3bo5bo3bo$4bo3bo2bo2bo3bo$4bo2b2ob3ob2o2bo$4bob4o3b4obo$4bo3bobobobo3bo$4bo2b2ob3ob2o2bo$4bo3bo2bo2bo3bo$4bo3bo5bo3bo$4bo2bob5obo2bo$bo2bob2obo3bob2obo2bo$3obo2bo7bo2bob3o$4bo13bo$b2obo13bob2o$2bobo13bobo$2o2b2o11b2o2b2o$bobo15bobo$bob2o13b2obo$2obo15bob2o$bo19bo! Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 896 Joined: July 1st, 2016, 3:58 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata AforAmpere wrote:A 2c/3 wickstretcher in B2/S235: rle Best stabilization I could find: x = 21, y = 63, rule = B2/S23510bo$9bobo$8b2ob2o2$8bobobo2$6b2obobob2o$5b2o7b2o$7b2obob2o$5bo9bo$8bo3bo2$4b3obo3bob3o$5b2ob5ob2o$2b2o13b2o$2bo3bo7bo3bo$b2obo11bob2o$o3bo11bo3bo$3bo6bo6bo$2b2o5bobo5b2o$3bobobo5bobobo$3bo2bo7bo2bo$3bob2obobobob2obo$3bo4b2ob2o4bo$3bob2o7b2obo$3bobo2bobobo2bobo$3bo2b2o5b2o2bo$3bo4b2ob2o4bo$3bo2b2o5b2o2bo$3bobo2b2ob2o2bobo$3bo2bo7bo2bo$3bo3b3ob3o3bo$3bo3bo5bo3bo$3bo5bobo5bo$3bo13bo$3bo2bob2ob2obo2bo$3bo3bo5bo3bo$3bo2bo2bobo2bo2bo$3bo5bobo5bo$3bo2bo7bo2bo$3bo3bo2bo2bo3bo$3bo3b3ob3o3bo$3bo2b2o5b2o2bo$3bo3bo5bo3bo$3bobobo5bobobo$3bo5b3o5bo$3bo2b2o5b2o2bo$3bo3bo5bo3bo$3bo3bo2bo2bo3bo$3bobobo2bo2bobobo$3bo3bo2bo2bo3bo$2b2o3bo5bo3b2o$5bobo5bobo$b2ob2obo5bob2ob2o$2bo2bobobobobobo2bo$7bo5bo$7bo5bo$7bo5bo$7bo2bo2bo$5bobo5bobo$4b2obo5bob2o$5bob2o3b2obo$7bo5bo!
Last edited by BlinkerSpawn on April 13th, 2018, 10:08 pm, edited 2 times in total.
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### Re: Miscellaneous Discoveries in Other Cellular Automata

BlinkerSpawn wrote:Best stabilization I could find

Nice, here are two 2c/3s from the rule:
x = 63, y = 436, rule = 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Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 896
Joined: July 1st, 2016, 3:58 pm

Nice smoke!

x = 40, y = 19, rule = B2c346ikn/S02i6$8bobo$8bobo$6b7o$6b7o$2bo3bobobobo3bo6bo$7b2ob2o17bo$2b3o9b3o7bo2bo2bo$3bo11bo9bo2b2o$31bo$25bobo$9bo9bo9bo! KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am ### Re: Miscellaneous Discoveries in Other Cellular Automata Assorted B1e ships c/2o x = 7, y = 7, rule = B1e2cen3knqy4-ceny5-e6-ek7e/S04-qr5-aqr6ae7e82b2obo$4o$7o$2obo2bo$3ob3o$4o$2b2obo! x = 9, y = 9, rule = B1e2ck3jy4-kqwz5-kqy6ik78/S01c2ckn2b3o$2bobob2o$2ob3obo$obo4b2o$2ob4o$obobo3bo$2obobo2bo$o2bobobo$3obo! x = 7, y = 9, rule = B1e2ckn3ceijy4acrtwz5aijnq6ack78/S13b2o$bo2bo$2bobo$b2o2bo$o5bo$ob2o2bo$bobo2bo$o2bob2o$2b2o! x = 8, y = 9, rule = B1e2ci3-acei4cejty5-aeqr8/S1e5b2o$7bo$obo4bo$5bo$3obobo$bo3bo$obo4bo$b2o4bo$5b2o! c/3o x = 8, y = 9, rule = B1e2cn3ejnqr4aityz5-kry6a8/S01c2-k4o2b2o$3obo2bo$2bo$2b4o$3b2obo$2b4o$2bo$3obo2bo$4o2b2o! If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2767
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Miscellaneous Discoveries in Other Cellular Automata

Another 2c/3 wickstretcher, this time in B2/S023:
x = 21, y = 58, rule = B2/S02310bo$8b2ob2o$8bobobo$6bobobobobo$5b2obo3bob2o$6bobo3bobo$4b3obo3bob3o$2b2o4bo3bo4b2o$3b2obobo3bobob2o$2bo3bobobobobo3bo$4b2o4bo4b2o$7bob3obo$4b3o7b3o$2bobobo3bo3bobobo$2bobobobo3bobobobo$2bobob9obobo$2bobob4ob4obobo$2bobo2bo5bo2bobo$2bobo3bobobo3bobo$2bobo3b2ob2o3bobo$2bobo11bobo$2bobo2b3ob3o2bobo$2bobobo7bobobo$2bobo11bobo$2bobo2b2o3b2o2bobo$2bobo3bo3bo3bobo$2bobo2bob3obo2bobo$2bobobo7bobobo$2bobobobobobobobobo$2bobobobo3bobobobo$2bobobob5obobobo$2bobobobobobobobobo$2bobobo7bobobo$2bobobobo3bobobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$2bobobobo3bobobobo$2bobobobobobobobobo$2bobobobo3bobobobo$obobobo2b3o2bobobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$2bobobobo3bobobobo$2bobobo2b3o2bobobo$4bobobo3bobobo$4bobo2bobo2bobo$o2bo2b4ob4o2bo2bo$10bo$7bo5bo$o2bo2bo7bo2bo2bo! Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 896 Joined: July 1st, 2016, 3:58 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata I'm not sure whether or not this is known, but either way the spark/ship ratio is large for this ship's size and speed (c/4): x = 3, y = 2, rule = B2ci3ai/S01e2a3eibo$3o!

Originally, I was going to put it like this:
x = 3, y = 4, rule = B2ci3ai/S01e2a3eibo3$3o! The fact that these two RLEs are so close intrigues me. Gamedziner Posts: 634 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Miscellaneous Discoveries in Other Cellular Automata Growing ship, top goes 2c/5, bottom c/3. x = 14, y = 87, rule = B3/S2356782b2o6b2o$2obo6bob2o$2obob4obob2o$2bob2o2b2obo$2b2o2b2o2b2o$2b2obo2bob2o$6b2o$2b3ob2ob3o$3b2ob2ob2o$5b4o$6b2o$6b2o$4b6o$4bob2obo$b3o2b2o2b3o$2obo2b2o2bob2o$4bob2obo$2bob6obo$3bo2b2o2bo$4bob2obo$6b2o$3b2ob2ob2o$6b2o$b2obob2obob2o$obobo4bobobo$bo2b6o2bo$2bo8bo$3bob4obo$2b2o6b2o$2bo3b2o3bo$4b2o2b2o$3ob6ob3o$obob2o2b2obobo$b2ob2o2b2ob2o$2b4o2b4o$3bo2b2o2bo$5bo2bo$5bo2bo$4bob2obo$b3ob4ob3o$2bobob2obobo$bo2bob2obo2bo$2bobob2obobo$4bob2obo$6b2o$2b3ob2ob3o$3b2ob2ob2o$3b2ob2ob2o$5b4o$2bo3b2o3bo$2bo3b2o3bo$3bo2b2o2bo$6b2o$6b2o$4b6o$6b2o$6b2o$5b4o$5b4o$5b4o$6b2o$6b2o$6b2o$6b2o$6b2o$4b6o$6b2o$6b2o$5b4o$5b4o$5b4o$6b2o$6b2o$6b2o$6b2o$6b2o$3bob4obo$3b2ob2ob2o$4bob2obo$3bob4obo$2b2ob4ob2o$2b2ob4ob2o$5b4o$bo2b6o2bo$b2o2b4o2b2o$b4o4b4o$3bo6bo! -Josh Ball. velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata I think that would count as a double wickstretcher rather than a growing spaceship, for which the ends should be moving in the same direction (with the tail slower than the head). But still, a nice find! 77topaz Posts: 1330 Joined: January 12th, 2018, 9:19 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata I don’t know the best place to put this, so the question is: Are any P5s known in B3/S2? wwei23 Posts: 935 Joined: May 22nd, 2017, 6:14 pm Location: The (Life?) Universe ### Re: Miscellaneous Discoveries in Other Cellular Automata wwei23 wrote:Are any P5s known in B3/S2? I don't know, but none exist up to 8x8, checked with WLS. On another note, I believe this is the first relativistic ship without survival conditions, at 3c/5: x = 9, y = 9, rule = B2ac3-acir4aeknrtz5acekr6ckn7/S2bobo2$2bo3bo$6bobo$5bo2bo$obobobo$2b2obo2bo$6bobo$4bobo!

I didn't expect this to exist, and I wonder what speeds are possible without survival conditions.

EDIT, much smaller one, still at 3c/5:
x = 6, y = 9, rule = B2-in3eq4acikqry5aij6ain/S3bo$2bo$b2ob2o$5bo$2obobo$bobo2$3bo$4bo! EDIT 2, 4c/6: x = 5, y = 6, rule = B2-in3-ain4aeikryz5cqy6-en/So$4bo$2bobo$3b2o$3bo$3bo!

EDIT 3, 5c/7:
x = 4, y = 6, rule = B2ack3-ainq4knry5ckqr6ci7e8/Sbobo2$o2bo$3bo$obo$2bo!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 896
Joined: July 1st, 2016, 3:58 pm

A tiny 2c/9:

x = 5, y = 6, rule = B2-a3-cir/S2$2bo$2bobo$2obo$2b2o$bo! KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am ### Re: Miscellaneous Discoveries in Other Cellular Automata Is there a smaller gun, in any isotropic 2-state CA? x = 7, y = 7, rule = B2-a3-cir4-a5ak/S23b2o$2b2obo$2bobo$3ob3o$2bobo$2b2obo$3b2o! Is there a smaller 4c/30? x = 3, y = 4, rule = B2-a3-cir4-a5ackn/S2b2o$o$b2o$bo!

KittyTac

Posts: 533
Joined: December 21st, 2017, 9:58 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

KittyTac wrote:Is there a smaller gun, in any isotropic 2-state CA?

x = 7, y = 7, rule = B2-a3-cir4-a5ak/S23b2o$2b2obo$2bobo$3ob3o$2bobo$2b2obo$3b2o!

Yes.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1728
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Miscellaneous Discoveries in Other Cellular Automata

KittyTac wrote:Is there a smaller 4c/30?

x = 3, y = 4, rule = B2-a3-cir4-a5ackn/S2b2o$o$b2o$bo! Also yes: x = 5, y = 3, rule = B2-ai3jknry4-ciqry5-ky6ei7e/S02n3ekr4ej5ae6ik7e4bo$o$4bo! From the 5S project. The full collection is available on Google Drive. There are a lot of unique ships with minimum population phase of 3 cells, which collectively have a very wide range of different speeds. For nearly all c/N, 2c/N 3c/N and 4c/N with N<=50, the smallest known ship has minimum population of 3 cells, and the same is true for many speeds with N up to 100. wildmyron Posts: 1016 Joined: August 9th, 2013, 12:45 am ### Re: Miscellaneous Discoveries in Other Cellular Automata wildmyron wrote: KittyTac wrote:Is there a smaller 4c/30? x = 3, y = 4, rule = B2-a3-cir4-a5ackn/S2b2o$o$b2o$bo!

Also yes:
x = 5, y = 3, rule = B2-ai3jknry4-ciqry5-ky6ei7e/S02n3ekr4ej5ae6ik7e4bo$o$4bo!

From the 5S project. The full collection is available on Google Drive.

There are a lot of unique ships with minimum population phase of 3 cells, which collectively have a very wide range of different speeds. For nearly all c/N, 2c/N 3c/N and 4c/N with N<=50, the smallest known ship has minimum population of 3 cells, and the same is true for many speeds with N up to 100.

Well, bounding box-wise mine is smaller.

KittyTac

Posts: 533
Joined: December 21st, 2017, 9:58 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

c/3o in a rule without survival and b2a
x = 14, y = 14, rule = B1e2ck3jnqr4-acknw5ajny6-i7e/S4b2o$3bo2bo2bobo$4bo4b2o$2o6bobo2bo$ob2o2b2o2bo$o3bob3ob2obo$2b2obobobo$2b2obobobo$o3bob3ob2obo$ob2o2b2o2bo$2o6bobo2bo$4bo4b2o$3bo2bo2bobo$4b2o! If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2767
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Miscellaneous Discoveries in Other Cellular Automata

Saka wrote:c/3o in a rule without survival and b2a
x = 14, y = 14, rule = B1e2ck3jnqr4-acknw5ajny6-i7e/S4b2o$3bo2bo2bobo$4bo4b2o$2o6bobo2bo$ob2o2b2o2bo$o3bob3ob2obo$2b2obobobo$2b2obobobo$o3bob3ob2obo$ob2o2b2o2bo$2o6bobo2bo$4bo4b2o$3bo2bo2bobo$4b2o! It kind of looks like a tank viewed top-down. Mind if we name it "Tank"? KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am ### Re: Miscellaneous Discoveries in Other Cellular Automata KittyTac wrote: Saka wrote:c/3o in a rule without survival and b2a x = 14, y = 14, rule = B1e2ck3jnqr4-acknw5ajny6-i7e/S4b2o$3bo2bo2bobo$4bo4b2o$2o6bobo2bo$ob2o2b2o2bo$o3bob3ob2obo$2b2obobobo$2b2obobobo$o3bob3ob2obo$ob2o2b2o2bo$2o6bobo2bo$4bo4b2o$3bo2bo2bobo$4b2o!

It kind of looks like a tank viewed top-down. Mind if we name it "Tank"?

This was found with LLS, as were lots of similar ships with similar limitations, and they all have this general appearance.
Also it's a B1e rule so it won't have much else of note.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1835
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Miscellaneous Discoveries in Other Cellular Automata

Spaceships in rules without B012a/S012345678

(1,1)c/13 p39 mod39
x = 4, y = 4, rule = B2cek3-cy4-ejkr5aq6n/So$bo$obo$bobo! (1,1)c/5 p5 mod5 x = 4, y = 4, rule = B2cek3jr4ent5a/Sbobo$obo$bo$o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 457
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Miscellaneous Discoveries in Other Cellular Automata

AbhpzTa wrote:Spaceships in rules without B012a/S012345678

(1,1)c/13 p39 mod39
x = 4, y = 4, rule = B2cek3-cy4-ejkr5aq6n/So$bo$obo$bobo! (1,1)c/5 p5 mod5 x = 4, y = 4, rule = B2cek3jr4ent5a/Sbobo$obo$bo$o!

Nice! I'd been wondering whether any ships could exist with those constraints, so it's nice to see that they do.

The first of those rules is explosive, but the second isn't, so it should be apgsearchable and could have other interesting patterns as well.

EDIT: A variant of the second ship's rule has a natural (3,1)c/9 ship that only differs slightly from the (1,1)c/5 ship:
x = 14, y = 4, rule = B2cek3jr4ent5a/S2ae3-ckrobo9bo$bobo5bobobo$2bo7bobo$3bo! 77topaz Posts: 1330 Joined: January 12th, 2018, 9:19 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata c/4o in a rule without B1e, B2a, or survival x = 14, y = 14, rule = B2-an3-cery4city5kqry6-ck7c8/S11bo2$7b2obo2bo$9bobo$8b3o2bo$7bo4bo$5ob6o$6bo5bo$3bo2bobo$bo2b2obobo2b2o$bo3bo$6b2o3bo$3bo6bo$8bo! Found with LLS in about 28 minutes (Exact time 1668.37912083 seconds) The rule is not explosive too so we can apgluxe it although the ship won't be appearing anytime soon I think If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2767
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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