Theorem about antiprisms

Technical Report · Mon Aug 01 04:00:00 EDT 1983

OSTI ID:5517308

Broadie, M N

This paper is concerned with the structure of the facets of an (n + 1)-dimensional polytope Q which is the convex hull of the dual n-polytopes P and P*. The motivation for studying the facets of Q comes froam the construction of subdivisions for PL homotopy algorithms. In general, the facets of Q may be quite arbitrary, but in some cases the facets of Q reflect the dual correspondence between the faces of P and P*. That is, the facets of Q may be generated by the convex hull of dual faces of P and P*. When this happens, Q is called an antiprism.

• Research Organization: Stanford Univ., CA (USA). Systems Optimization Lab.
• DOE Contract Number: AT03-76ER72018
• OSTI ID: 5517308
• Report Number(s): SOL-83-15; ON: DE84001616
• Country of Publication: United States
• Language: English

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