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Tagged with combinatorics proof-without-words
2 questions
20
votes
4
answers
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Four buttons on a table
I was asked lately (in an interview) to solve this puzzle, which is similar to the 4 cups on table puzzle.
In a certain room there is a rotating round table, with 4 symmetrically located ...
26
votes
12
answers
4k
views
Tiling a Hexagon with Diamonds
A regular hexagon is divided into a triangular grid, and completely tiled with diamonds (two triangles glued together). Diamonds can be placed in one of three orientations. Prove that, no matter how ...