HMMT 2008 U28
- Guts
- Answer
Let be a polyhedron where every face is a regular polygon, and every edge has length 1. Each vertex of is incident to two regular hexagons and one square. Choose a vertex of the polyhedron. Find the volume of the set of all points contained in that are closer to than to any other vertex.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{\sqrt{2}}{3}
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