Work

On dihedral angle sums and number of facets for product polytopes

Year: 2024

Type: article

Abstract: In this paper we present a method for computing the dihedral angle sums (and their two-sided estimates) of cartesian and skew product polytopes provided the sums of dihedral angles (or their estimates) are known for the factors. In addition, a formula for computing the number of facets of such product polytopes is derived. The method proposed is very universal and illustrated by several examples. The estimates are in a full agreement with known results for prisms and hexahedra.

Source: Journal of Geometry

DOI: 10.1007/s00022-024-00732-7

Authors: Sergey Korotov, Jon Eivind Vatne

Institutions: Mälardalen University, BI Norwegian Business School

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Mälardalens högskola