[Forum Game] CA Puzzles

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b-engine
Posts: 1390
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Re: [Forum Game] CA Puzzles

Post by b-engine » March 7th, 2024, 12:43 am

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$2EA!
Spoiler: x = 3, y = 2, rule = B3-q4ew8/S2-e34c8 3o$bo! x = 3, y = 2, rule = B34w/S23-e bo$3o!
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)
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
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hotcrystal0
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Re: [Forum Game] CA Puzzles

Post by hotcrystal0 » April 10th, 2024, 6:41 pm

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!

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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