Post #2672374
2026-03-12 17:09 UTC
The other interesting thing is where totally new specimens show up -- that is, solutions that aren't a combination of two smaller solutions.
The answer seems to be "literally only in the I+L row", and only and exactly one for each successive value of n >= 3.
I've highlighted all brand-new specimens in green.
n=1 introduces the O as a 2x2 solution
n=2 has two I's and two L's respectively as new 2x4 solutions
n=3 has a new L+L+I 2x6 solution
n=4 has a new L+L+I+I
n=5 has a new L+L+I+I+I...
Replies (1)
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@joshmillard@mastodon.social 2026-03-12 17:15
And that just keeps going. For every n >= 3, there is a new specimen that follows this pattern of 2L + (n-2)I, just sticking in a new I piece each time. You could think of it as flip-flopping a bit for each n, or as extending two related odd-n and even-n configurations in a more straightforward "add to I's" way.