Die hard nx1 polyomino patterns
Posted: July 12th, 2016, 9:41 am
I have noticed, coincidentally, that nx1 linear patterns die for n=1,2,6,14,15,18,19,23,24
Apparently, it gets increasingly improbable that for n>100 this happens, because the end population tends to increase (there are local minima, but in general it tends to be higher than the previous average).
So here goes my question: are there more die hard nx1 polyomino patterns (effectively, lines)?
Alternatively, how would one design a method to prove the existence -or lack thereof- of these?
Apparently, it gets increasingly improbable that for n>100 this happens, because the end population tends to increase (there are local minima, but in general it tends to be higher than the previous average).
So here goes my question: are there more die hard nx1 polyomino patterns (effectively, lines)?
Alternatively, how would one design a method to prove the existence -or lack thereof- of these?