The largest projections of regular polytopes
β Scribed by P. Filliman
- Book ID
- 112893570
- Publisher
- The Hebrew University Magnes Press
- Year
- 1988
- Tongue
- English
- Weight
- 628 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider the polytopes which are certain orthogonal projections of k-dimensional regular simplexes in k-dimensional Euclidean space R k. We call such polytopes r~-polytopes. Every sufficiently symmetric polytope, such as a regular polytope, a quasi-regular polyhedron, etc., belongs to this class.
The cyclic polytope C (n, d) is the convex hull of any n points on the moment curve {(t, t 2 , . . . , t d ) : we consider the fiber polytope (in the sense of Billera and Sturmfels [6]) associated to the natural projection of cyclic polytopes Ο : C(n, d ) β C(n, d) which 'forgets' the last dd coord