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单词 Zonohedron
释义

Zonohedron

中文百科

环带多面体

环带多面体全对称多面体)是一种每个面都相对称、相等或与正对的(即将两个面的中心连起可过内接球或外置球球心)面互相对称的立体。

另外,某些卡塔兰立体(半正多面体的对偶多面体)也同样是环带多面体:

其他有菱形面的环带多面体:

英语百科

Zonohedron 环带多面体

A zonotope is the Minkowski sum of line segments. The sixteen dark-red points (on the right) form the Minkowski sum of the four non-convex sets (on the left), each of which consists of a pair of red points. Their convex hulls (shaded pink) contain plus-signs (+): The right plus-sign is the sum of the left plus-signs.

A zonohedron is a convex polyhedron where every face is a polygon with point symmetry or, equivalently, symmetry under rotations through 180°. Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as the three-dimensional projection of a hypercube. Zonohedra were originally defined and studied by E. S. Fedorov, a Russian crystallographer. More generally, in any dimension, the Minkowski sum of line segments forms a polytope known as a zonotope.

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更新时间:2025/6/20 9:20:46