A glob is a polygon like a Tetris piece, but made out of 7 squares instead of four, attached edge-to-edge to form a single polygon.
It is known that there are exactly 108 different globs. Is it possible to tile a 28 × 27 rectangle using each glob exactly once?
It is not possible.
Since 28*27=108*7, the rectangle must be completely tiled with no voids. However, least one of the tiles will contain a void e.g.
XXX
X X
XX
which cannot be filled by any other tile.
Edited on March 1, 2025, 11:07 am
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Posted by broll
on 2025-03-01 11:07:12 |