Find a Still Life in B2e3/S1c23a without block or carrier!
This is just for fun. I think it should go to the sandbox.
Puzzle: Find a Still Life in B2e3/S1c23a
Re: Puzzle: Find a Still Life in B2e3/S1c23a
I am fairly certain that's actually impossible.
Re: Puzzle: Find a Still Life in B2e3/S1c23a
So prove it! Just like proving there aren't any B3/S3 still life without block!77topaz wrote:I am fairly certain that's actually impossible.
Re: Puzzle: Find a Still Life in B2e3/S1c23a
(Updating)
I think I can prove that this puzzle cannot be solved
Assume (0,0) is on
Think about 1c. if it is saved by the 1c rule, then:
That will create a born on (1,0) and (0,1). If (2,0) , (2,1) , (0,2) and (1,2) is on:
(2,1), (1,2) and (1,1) will die.
If (1,0) and (0,1) is on:、
A block appears.
So (1,1) and (0,0) can't be on at the same time.
If it is saved by the S2 rule, there are two possibilities, but (1,1) must be off, so (0,1) and (1,0) must be on.
(0,1) and (1,0) already had two neighbour, so the blue cells must be off:
This will cause a B3a on (1,1), so (2,2) must be on
...
I think I can prove that this puzzle cannot be solved
Assume (0,0) is on
Code: Select all
x = 20, y = 20, rule = LifeHistory
D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$A19D!
Code: Select all
x = 20, y = 20, rule = LifeHistory
D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$DA$A19D!
Code: Select all
x = 20, y = 20, rule = LifeHistory
D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$2A$D2A$ADA17D!
If (1,0) and (0,1) is on:
Code: Select all
x = 20, y = 20, rule = LifeHistory
D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$2A$2A18D!
A block appears.
So (1,1) and (0,0) can't be on at the same time.
If it is saved by the S2 rule, there are two possibilities, but (1,1) must be off, so (0,1) and (1,0) must be on.
Code: Select all
x = 20, y = 20, rule = LifeHistory
D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$AB$2A18D!
Code: Select all
x = 20, y = 20, rule = LifeHistory
D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$D$2B$A2B$2AB17D!
...