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Re: [Forum Game] CA Puzzles
Posted: March 7th, 2024, 12:43 am
by b-engine
H. H. P. M. P. Cole wrote: March 6th, 2024, 5:45 am
- Prove that the set of SLs in B3/S12 and B3/S124a are the same. (Easy)
S4a implies that at least 3 cells needs to have 3 to 4 neighbors, which the cells will die out in next generation. Hence, no still lifes with S4a region can exist without S3, means that still lifes set in B3/S12 and B3/S124a are the same:
Code: Select all
x = 3, y = 2, rule = B3/S12History
EC$2EA!
Code: Select all
x = 3, y = 2, rule = B3/S124aHistory
EC$2EA!
Next:
Easy: find an INT rule 2 transitions from Life which pre-traffic lights evolves into 4 (speed simplified) 2c/5 spaceships.
Hard: find an INT rule which this alien p2 is common.
Code: Select all
x = 6, y = 6, rule = B3/S238
2bo$bo2bo$obo$3bobo$bo2bo$3bo!
(Hint: B4w)
Re: [Forum Game] CA Puzzles
Posted: April 10th, 2024, 6:41 pm
by hotcrystal0
New puzzle: Find a way to synthesize the long boat in red without touching the blocks and canoe (assume that the blocks go down infinitely after the red arrow):
Code: Select all
x = 19, y = 47, rule = LifeHistory
$5.2A.2A.2A.2A$4.A.A.2A.2A.2A$3.A$2.A$2.2A6.D$9.D.D$2.2A4.D.D$2.2A4.2D
2$2.2A$2.2A2$2.2A$2.2A2$2.2A$2.2A2$2.2A$2.2A2$2.2A$2.2A2$2.D$2.D$D.D.
D$.3D$2.D!
Re: [Forum Game] CA Puzzles
Posted: April 28th, 2025, 6:14 pm
by Citation needed
Find three spaceships that work in both B3/S23 and B3468/S23.
Re: [Forum Game] CA Puzzles
Posted: April 28th, 2025, 6:32 pm
by b-engine
Citation needed wrote: April 28th, 2025, 6:14 pm
Find three spaceships that work in both B3/S23 and B3468/S23.
All xWSSes work in both rules:
Code: Select all
x = 7, y = 20, rule = B3/S23
b6o$o5bo$6bo$o4bo$2b2o4$2b5o$bo4bo$6bo$bo3bo$3bo4$3b4o$2bo3bo$6bo$2bo2bo!
Code: Select all
x = 7, y = 20, rule = B3468/S23
b6o$o5bo$6bo$o4bo$2b2o4$2b5o$bo4bo$6bo$bo3bo$3bo4$3b4o$2bo3bo$6bo$2bo2bo!
Re: [Forum Game] CA Puzzles
Posted: May 1st, 2025, 2:55 am
by confocaloid
Are there any
other CGoL spaceships (not counting LWSS, MWSS, HWSS and their combinations; especially other speeds) with the property that neither of cell conditions B4, B6, B8 occurs in any phase of the spaceship?
I ran a few searches using qfind, without finding anything interesting:
Code: Select all
./qfind -r B3~468/S23 -v c/2 -w 10 -s even
./qfind -r B3~468/S23 -v c/2 -w 10 -s odd
./qfind -r B3~468/S23 -v c/3 -w 10 -s even
./qfind -r B3~468/S23 -v c/3 -w 10 -s odd
./qfind -r B3~468/S23 -v c/4 -w 10 -s even
./qfind -r B3~468/S23 -v c/4 -w 10 -s odd
./qfind -r B3~468/S23 -v c/5 -w 10 -s even
./qfind -r B3~468/S23 -v c/5 -w 10 -s odd
./qfind -r B3~468/S23 -v 2c/5 -w 10 -s even
./qfind -r B3~468/S23 -v 2c/5 -w 10 -s odd
./qfind -r B3~468/S23 -v c/6 -w 10 -s even
./qfind -r B3~468/S23 -v c/6 -w 10 -s odd
and as expected, this search finds the LWSS (and wider searches find MWSS and HWSS too):
Code: Select all
./qfind -r B3~468/S23 -v 2c/4 -w 5 -s asymmetric
b-engine wrote: April 28th, 2025, 6:32 pm
Citation needed wrote: April 28th, 2025, 6:14 pm
Find three spaceships that work in both B3/S23 and B3468/S23.
All xWSSes work [...]