Polytopes with Centrally Symmetric Faces
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 1206-1213
- https://doi.org/10.4153/cjm-1967-109-3
Abstract
If a convex polytope P is centrally symmetric, and has the property that all its faces (of every dimension) are centrally symmetric, then P is called a zonotope. Zonotopes have many interesting properties which have been investigated by Coxeter and other authors (see (4, §2.8 and §13.8) and (5) which contains a useful bibliography). In particular, it is known (5, §3) that a zonotope is completely characterized by the fact that all its two-dimensional faces are centrally symmetric.Keywords
This publication has 1 reference indexed in Scilit:
- Convex PolytopesPublished by Springer Nature ,2003