Projections of 3-polytopes
β Scribed by David W. Barnette
- Book ID
- 112888875
- Publisher
- The Hebrew University Magnes Press
- Year
- 1970
- Tongue
- English
- Weight
- 253 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Using the technique of Gale diagrams we give a characterization of point sets in (k -1)-dimensional Euclidean space that are obtained by projection of the vertex set of a convex k-polyt0pe of given combinatorial type. This result is also a first step in finding an intrinsic geometric criterion to de