The merging operation and \((d-i)\)-simplicial \(i\)-simple \(d\)-polytopes

DOI10.5070/c64264236zbMATH Open1548.52013MaRDI QIDQ6615525

Isabella Novik, Hailun Zheng

Publication date: 8 October 2024

Published in: Combinatorial Theory (Search for Journal in Brave)

zbMATH Keywords

connected sumsface latticeface numbersGosset-Elte polytopesself-dual polytopes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigidity and the lower bound theorem. I
• New polytopes from products
• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• The \(E_t\)-construction for lattices, spheres and polytopes
• The extended f-vectors of 4-polytopes
• Realization spaces of polytopes
• A geometric lower bound theorem
• Small $f$-vectors of 3-spheres and of 4-polytopes
• Lectures on Polytopes
• On a class of generalized simplices
• Convex Polytopes
• Projected products of polygons

This page was built for publication: The merging operation and \((d-i)\)-simplicial \(i\)-simple \(d\)-polytopes