Combinatorially rigid simple polytopes with d+3 facets
Fr\'ed\'eric Bosio
TL;DR
This paper classifies simple polytopes that are combinatorially rigid and have exactly three more facets than their dimension, providing a comprehensive understanding of their structure.
Contribution
It offers a complete classification of combinatorially rigid simple polytopes with d+3 facets, a previously unexplored case.
Findings
Complete classification of such polytopes
Identification of structural properties
Foundation for further geometric studies
Abstract
We classify here combinatorially rigid simple polytopes with three facets more than their dimension.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematics and Applications · Computational Geometry and Mesh Generation