HOW NEIGHBORLY CAN A CENTRALLY SYMMETRIC POLYTOPE BE? NATHAN LINIAL AND ISABELLA NOVIK Abstract. We show that there exist k-neighborly centrally symmetric ddimensional polytopes with 2(n + d) vertices, where „

Source URL: www.math.washington.edu

Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets Alexander Barvinok ∗

Source URL: www.math.lsa.umich.edu

• Polyhedral combinatorics
• Polytopes
• Neighborly polytope
• Moment curve
• Cyclic polytope
• Abstract polytope

CENTRALLY SYMMETRIC POLYTOPES WITH MANY FACES Alexander Barvinok, Seung Jin Lee, and Isabella Novik November 2011 Abstract. We present explicit constructions of centrally symmetric polytopes with many faces: (1) we cons

Source URL: www.math.lsa.umich.edu

• Geometry
• Mathematics
• Space
• Polytopes
• Polyhedral combinatorics
• Elementary geometry
• Neighborly polytope
• Cyclic polytope
• Face
• Cross-polytope
• Edge
• Ehrhart polynomial

Neighborly embedded manifolds G. Kalai∗ and A. Wigderson† 1 Introduction

Source URL: www.ma.huji.ac.il

• Topology
• Mathematics
• Mathematical analysis
• Differential topology
• General topology
• Maps of manifolds
• Manifolds
• Category theory
• Embedding
• Submanifold
• Convex function
• Neighborly polytope

Recent Results on Random Polytopes Rolf Schneider Summary. - This is a survey over recent asymptotic results on random polytopes in d-dimensional Euclidean space. Three ways of generating a random polytope are considered

Source URL: home.mathematik.uni-freiburg.de

• Convex polytope
• Regular polytope
• Central limit theorem
• Simplex
• Cross-polytope
• Abstract polytope
• Geometry
• Polytopes
• Neighborly polytope

PDF Document

Source URL: bsg.uniyar.ac.ru

• Polytope
• Aperiodic tiling
• Pentagon
• Vertex
• Neighborly polytope
• Geometry
• Tiling
• Tessellation