期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1991
卷号：88
期号：2
页码：585-587
DOI：10.1073/pnas.88.2.585
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：It is shown that an infinitely extended polyhedron of one sheet composed of plane polygons of finite size, and in which all the vertices are related to one another by symmetry operations, can always be constructed by folding a stiff, unstretchable sheet (such as a piece of paper). It is also shown that only 11 such polyhedra have faces that are regular polygons; these polygons are equilateral triangles and squares. The 4 of these 11 polyhedra that are not known to have been published previously are presented here.
