[seqfan] Re: Help with A028247 Number of T-frame polyominoes with n cells

[Allan Wechsler]

In classical Chomp, all "bites" have to be in the same direction -- you can
remove a cell together with all cells below and to the right. I could be
missing something, but I don't think this could give rise to a T-polyomino.
Still, it's correct that a T-frame is derived from a rectangle by removing
rectangular "notches" from two adjacent corners.

You could certainly invent a Chomp-like game in which the players select a
cell and a direction, but the Wikipedia article does not mention that
generalization.

I learned the game as a child from the inventor, who was a friend of my
father. David Gale was a lovely man and I have happy memories of hanging
out in his office in Berkeley playing with the mathematical models he
collected.

On Mon, Feb 6, 2023 at 5:51 AM mathar <mathar at mpia-hd.mpg.de> wrote:

> The T-frame polyominoes describe a subset of stages
> of chomp https://en.wikipedia.org/wiki/Chomp
> after two bites. It's only a subset because to leave
> a T-polyomino the first bite must not remove an
> entire set of rows/columns and the second bite must
> not do that either and must not nimble at the corner
> diagonally opposite to the first bite.
>
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