We saw in a beautiful recent question by @Bubbler how to tile some rectangles with copies (including rotations and flips) of a hook, i.e., the four-celled polyplet shown below. Sadly, some rectangles can't be tiled with hooks: these are the 8k × 3 and 8k × 5 grids for any positive integer k.
We saw in a beautiful recent question by @Bubbler how to tile some rectangles with copies (including rotations and flips) of a hook, i.e., the four-celled polyplet shown below.
Sadly, some rectangles can't be tiled with hooks: these are the 8k × 3 and 8k × 5 grids for any positive integer k.
That made me wonder if these grids could be tiled when they were tori instead of rectangles.
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We saw in a beautiful recent question by @Bubbler how to tile some rectangles with copies (including rotations and flips) of a hook, i.e., the four-celled polyplet shown below. Sadly, some rectangles can't be tiled with hooks: these are the 8k × 3 and 8k × 5 grids for any positive integer k. That made me wonder if these grids could be tiled when they were tori instead of rectangles.
So one might wonder if grids of the form 4 × odd can be tiled.
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