Projected products of polygons

DOI10.1090/S1079-6762-04-00137-4zbMath1068.52014arXivmath/0407042OpenAlexW2111413025MaRDI QIDQ4681001

Günter M. Ziegler

Publication date: 14 June 2005

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407042

zbMATH Keywords

Discrete geometryconvex polytopes\(f\)-vectorsdeformed products of polygons

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12)

Related Items

Construction and analysis of projected deformed products, New polytopes from products, Polytopality and Cartesian products of graphs, Complexity yardsticks for \(f\)-vectors of polytopes and spheres, Polyhedral surfaces in wedge products, Polyhedral graph abstractions and an approach to the linear Hirsch conjecture, Non-projectability of polytope skeleta, Prodsimplicial-neighborly polytopes, The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores theorem, Topological obstructions for vertex numbers of Minkowski sums, Extension Complexity of Polytopes with Few Vertices or Facets, Zonotopes with large 2D-cuts

Cites Work

• Rigidity and the lower bound theorem. I
• Neighborly cubical polytopes
• The \(E_t\)-construction for lattices, spheres and polytopes
• The extended f-vectors of 4-polytopes
• Projections of 3-polytopes
• Lectures on Polytopes
• Convex Polytopes
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