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A construction for projectively unique polytopes

✍ Scribed by M. A. Perles; G. C. Shephard


Publisher
Springer
Year
1974
Tongue
English
Weight
315 KB
Volume
3
Category
Article
ISSN
0046-5755

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✦ Synopsis


A method for constructing projectively unique polytopes with many vertices is described. The method makes use of the properties of Gale diagrams.


πŸ“œ SIMILAR VOLUMES


Fiber Polytopes for the Projections betw
✍ Christos A. Athanasiadis; JesΓΊs A. De Loera; Victor Reiner; Francisco Santos πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 359 KB

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