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Omni-MATH / Let P be a polyhedron where every face is a regular polygon, and every edge has length 1. Each vertex of P is incident to two regular hexagons and one square. Choose a vertex V of …

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problem

Let PP be a polyhedron where every face is a regular polygon, and every edge has length 1. Each vertex of PP is incident to two regular hexagons and one square. Choose a vertex VV of the polyhedron. Find the volume of the set of all points contained in PP that are closer to VV than to any other vertex.
Plain-text mathematical notation (without MathML)
Let P be a polyhedron where every face is a regular polygon, and every edge has length 1. Each vertex of P is incident to two regular hexagons and one square. Choose a vertex V of the polyhedron. Find the volume of the set of all points contained in P that are closer to V than to any other vertex.
Original LaTeX notation
Let $P$ be a polyhedron where every face is a regular polygon, and every edge has length 1. Each vertex of $P$ is incident to two regular hexagons and one square. Choose a vertex $V$ of the polyhedron. Find the volume of the set of all points contained in $P$ that are closer to $V$ than to any other vertex.

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Source and history

task_id
f006fb1f-a874-5a2e-865c-31839707a27b
task_key
test--f006fb1f-a874-5a2e-865c-31839707a27b
task_revision_id
1
config / split
/ test

Official source

initial import