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单词 polyhedron
释义

polyhedron

(polyhedra) A solid figure bounded by some number of plane polygonal faces. It is often assumed that a polyhedron is convex, unlike the one in the figure. Thus, a convex polyhedron is a finite region bounded by some number of planes, in the sense that the polyhedron lies entirely on one side of each plane. Each edge of the polyhedron joins two vertices, and each edge is the common edge of two faces.

A concave (non-convex) polyhedron

The numbers of vertices, edges, and faces of a convex polyhedron are related by Euler's Theorem (for polyhedra).

Certain polyhedra are called regular, and these are the five Platonic solids; the thirteen Archimedean solids are semi-regular. See polytope.

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更新时间:2025/4/30 2:18:34