Characterizations of cyclic polytopes
β Scribed by Tibor Bisztriczky
- Book ID
- 105761293
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 113 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0047-2468
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π SIMILAR VOLUMES
A remarkable result of Shemer [7] states that the combinatorial structure of a neighbourly 2mpolytope determines the combinatorial structure of each of its subpolytopes. From this, it follows that every subpolytope of a cyclic 2m-polytope is cyclic. In this note, we present a direct proof of this co
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