## Weird Challenges

A forum where anything goes. Introduce yourselves to other members of the forums, discuss how your name evolves when written out in the Game of Life, or just tell us how you found it. This is the forum for "non-academic" content.

### Weird Challenges

What is the highest possible value of P such that a non-totalistic rule exists with spaceships of period P and period P+1?
Current record: 42

What about a totalistic rule with the same characteristic?

And if, instead of period, it is for spaceships of speed c/P and c/(P+1)?
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1055
Joined: June 1st, 2013, 5:41 pm

### Re: Weird Challenges

What's the highest period c/2 ship known?
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: Weird Challenges

Saka wrote:What's the highest period c/2 ship known?

There isn't really an upper limit unless you limit the size somehow. Here's a p248 spaceship, for example:

`x = 46, y = 107, rule = B3/S2313b3o\$12bo3bo\$7b3obo5bob3o\$6bo2bobo5bobo2bo\$5bo3bobob3obobo3bo\$5bo7bobo7bo\$7bo13bo\$4bobo5b2ob2o5bobo\$3b2obob2o9b2obob2o\$2bobobob2o9b2obobobo\$b2obo2bobo9bobo2bob2o\$o3bob2ob3ob3ob3ob2obo3bo\$4bo8b3o8bo\$2o3bob3ob2obob2ob3obo3b2o2\$3b2o19b2o\$3bo2b2o13b2o2bo\$5bobo13bobo\$2b2obo17bob2o\$5bob2o11b2obo\$5bo17bo\$9b3o5b3o\$7bo3bo5bo3bo\$2b3o4bobo5bobo4b3o\$2bo2bo17bo2bo\$2bo23bo\$2bo3bo15bo3bo\$2bo3bo15bo3bo\$2bo8bo5bo8bo\$3bobo3bobo5bobo3bobo\$10b2o5b2o2\$24b3o11b3o\$23bo3bo9bo3bo\$13bobo6b2o4bo7bo4b2o\$11bobobobo3bobob2ob2o5b2ob2obobo\$12b2ob2o3b2obo4bob2ob2obo4bob2o\$19bo4bo3bo2bobo2bo3bo4bo\$31bobo\$19b2o7b2obobob2o7b2o\$31bobo\$25b3o9b3o\$25bo3bo9bo\$25bobo4b3o\$31bo2bo4b2o\$34bo\$30bo3bo\$30bo3bo\$25bo8bo\$25bobo3bobo\$25b2o4\$23bo\$23bobo\$23b2o3\$7bo\$6b3o12bo\$6bob2o11bobo\$7b3o11b2o\$7b2o\$25b3o\$24bo2bo\$19bo7bo\$19bobobo3bo\$19b2o2bo3bo\$5bo21bo\$4b3o17bobo\$4bob2o\$5b3o\$5b3o\$5b2o3\$23bo\$22b3o\$21b2obo\$21b3o\$22b2o17\$24bo\$23b3o\$bo21bob2o\$3o21b3o\$ob2o20b3o\$b3o20b3o\$b3o20b2o\$b3o\$b2o!`

Advance the leading block puffer in that conglomeration, including the two HWSSes, by 2N ticks, and you'll get a p248+8N c/2 ship.

I seem to recall there are also period-multiplying attachments for high-period rakes, so the size only goes up linearly as the period goes up exponentially. But offhand I'm only finding examples for c/3. Can someone else dig up a c/2 example?

EDIT: Oh, right -- see Part 6 of David Bell's Spaceships series for several different c/2 period-multiplying methods. Here's one where a linear increase in length produces a factor-of-two increase in period:

`x = 505, y = 98, rule = B3/S23330b4o\$329b6o\$328b2ob4o48b2o\$329b2o51b2ob4o\$383b6o\$318b2o64b4o\$317b4o\$113b2o201b2ob2o50b2o\$111bo4bo200b2o5b2ob3o40b2ob2o8bo\$110bo212bo5b2o40b4o3bo4bobo\$110bo5bo47b6o152b2o7bo40b2o3bo5bo2bo\$110b6o48bo5bo152bo5b2o11bo33bo2bo6bo\$164bo152b2o5b2ob3o10bobo29b2o3bo5bo2bo10bo\$99bo2bo62bo4bo116b4o25b2ob2o20b2o28b4o3bo4bobo12bo\$98bo68b2o117b6o25b4o49b2ob2o8bo12b3o\$98bo3bo49b4o129b2ob4o26b2o51b2o13b2o\$98b4o50bo3bo129b2o41b6o49bo4bo\$104b3o2b2o41bo7bo168bo5bo24bo22bo\$104b3o2b2o9bo32bo2bo2b7o109b2o52bo28bobo22bo5bo25bo\$104b3o2b2o10b2o35b2ob3o2bo107b4o52bo4bo23b2o22b6o27bo\$70b2o26b4o18b2o31bo2bo2b7o9bobo95b2ob2o54b2o80b3o\$68bo4bo24bo3bo49bo7bo15b2o96b2o5b2ob3o\$67bo30bo53bo3bo19bo103bo5b2o\$67bo5bo25bo2bo9b4o36b4o123b2o7bo\$67b6o38b6o21bo141bo5b2o11bo133bo44b2o\$110b2ob4o22b2o24b2o107b2o5b2ob3o10bobo72b2o60bo41bo4bo\$56bo2bo51b2o25b2o24b2ob4o22bobo77b2ob2o20b2o72bobo57b3o40bo\$55bo109b6o23b2o78b4o94bo102bo5bo\$55bo3bo106b4o24bo80b2o198b6o\$55b4o227b6o\$61b3o2b2o218bo5bo24bo74b2o57bo\$61b3o2b2o9bo208bo28bobo75b2o57bo\$61b3o2b2o10b2o131bobo73bo4bo23b2o74bo57b3o\$55b4o18b2o110b3o20b2o75b2o192b2o\$55bo3bo131bo20bo\$55bo134bo223bo22bo\$56bo2bo9b4o101bo36bo123bo76bobo20b2o\$68b6o21bo79b2o33bo122bobo24b2o51b2o21b2o\$67b2ob4o22b2o76b2o34b3o121b2o24bobo94b2o\$68b2o25b2o263bo95b2o\$147b2o125bo47bo135bo\$146b2o125bobo45bobo\$148bo124bobo45bobo29bob3o\$113bo160bo47bo28bo2b2ob2o\$114b2o236bobobo94b2o\$23b2o88b2o38b3o294b2o\$22b2ob4o126bo296bo\$23b6o125bo317b2o\$24b4o14bo23bo23bo23bo95bo12bo114b2o132b2o29b2o\$41bobo21bobo21bobo21bobo15bo79b2o9bo116b2o\$4o37bobo21bobo21bobo21bobo16b2o76b2o10b3o113bo106b2o\$o3bo10bo26bo23bo23bo23bo16b2o2b3o306b2o33b4o\$o7b2o4bobo120bo308bo31b6o12b4o\$bo2bo2b4o3bo2b2o117bo87b5o248b2ob4o11b6o\$6b2o3bo5b2obo203bo4bo90b2o156b2o14b2ob4o\$bo2bo2b4o3bo2bo3bo12bo189bo65b2o29b2o172b2o\$o7b2o4bobo3bo13bo190bo3bo59b2ob4o24bo118b2o\$o3bo10bo4b3o12b2o80b3o107bo62b6o142b2o\$4o28b3obo82bo142b2o14bo2bo9b4o145bo\$31b5o82bo106b3o32bo4bo11bo\$31b2obo190bo33bo17bo3bo7bo12b2o\$13b5o208bo32bo5bo11b4o4bo3b3o11b2o\$13bo4bo240b6o18b2o5b2o10bo130b2o\$13bo57b6o22b3o181b3o6bo139b2o\$14bo3bo52bo5bo23bo181b2o5b2o142bo\$16bo54bo28bo118b3o55b4o4bo3b3o126bo2bo\$23b5o44bo4bo141bo57bo3bo7bo127bo\$23bo4bo30b2o13b2o144bo56bo139bo3bo\$23bo34b2ob2o215bo2bo135b4o6b2o\$24bo3bo30b4o3bo14b3o342b2o\$26bo33b2o3bobo2b2o11bo205b6o133bo\$64bo3b2o2bo9bo130b3o73bo5bo\$60b2o3bobo2b2o141bo75bo115b2o\$59b4o3bo147bo75bo4bo108b2ob2o11b2o\$58b2ob2o136b2o91b2o111b4o3bo5b2o2bo\$59b2o137b2ob2o203b2o3bobo2b2ob3o\$199b4o207bo3b2o6bo3bo\$72b4o124b2o5b3o196b2o3bobo2b5obob2o\$71b6o130bo197b4o3bo6b2obob2o\$70b2ob4o131bo195b2ob2o\$71b2o113b4o215b2o\$186bo3bo10bo214b2o\$186bo7b2o4bobo211bo4bo\$187bo2bo2b4o3bo2b2o208bo\$192b2o3bo2bo2bob2o4bo3bo197bo5bo\$187bo2bo2b4o4b2obo6bo3bo197b6o\$186bo7b2o4bo12bo\$186bo3bo10bo221b4o\$186b4o233bo3bo\$423bo\$215bo208bo2bo\$195b2o19bo\$194b2ob4o14bo\$195b6o\$196b4o6b2o\$205b4o\$204b2ob2o\$205b2o!`

dvgrn
Moderator

Posts: 5328
Joined: May 17th, 2009, 11:00 pm

### Re: Weird Challenges

Rhombic wrote:What is the highest possible value of P such that a non-totalistic rule exists with spaceships of period P and period P+1?
Current record: 42

29461-generation diehard in a 96-by-16 box:

`x = 96, y = 16, rule = B2in3-cky4ciqrtz5ey6ac/S1c2aek3-acky4t6i7e8ob2o2bo4b2obo65bob2o2bo5b2o\$b4o2b2o2bo2bo65bob3ob6o2bo\$obob2ob2ob3o67bob2o2b3o3b2obo\$b2obobobobobo2bo65b7o2bo3b2o\$bobo2bobo4b3o64bo4b2ob3o3b2o\$2bobo3bob5o71bo3bo2bo\$bob2obo5bobo65b7ob3obobo\$o4bo4b5o66b4o2bo2bo2bo\$bo4b6obobo65bob5o2bob4o\$bo3bobob3o2bo65bo5b2obo4b2o\$3ob4o2bobo67bo2bobob2ob2obo\$2bob2ob3o2bo2bo64b4o4b3o4bo\$b2o2bobobo4b2o64bo6b2obobob2o\$3o4b2ob3obo68bobo2b3ob4o\$b2ob3o6b2o66b5ob2o3bo2bo\$bobobob2o2b5o64b3ob3ob2obob2o!`
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 1941
Joined: June 1st, 2009, 4:32 pm

### Re: Weird Challenges

What about highest known period for an ELEMENTARY c/2 ship in any non-totalistic/totalistic CA?
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