Determining All Universal Tilers

David G.L. Wang

doi:10.1007/s00454-012-9445-1

Determining All Universal Tilers

David G.L. Wang

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

A universal tiler is a convex polyhedron whose every cross-section tiles the plane. In this paper, we introduce a slight-rotating operation for cross-sections of polyhedra. By applying the operation to suitably chosen cross-sections, we prove that a convex polyhedron is a universal tiler if and only if it is a tetrahedron or a pentahedron with parallel facets.

源语言	英语
页（从-至）	302-316
页数	15
期刊	Discrete and Computational Geometry
卷	49
期	2
DOI	https://doi.org/10.1007/s00454-012-9445-1
出版状态	已出版 - 3月 2013
已对外发布	是

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Determining All Universal Tilers

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