Six topics on inscribable polytopes
Arnau Padrol, G\"unter M. Ziegler

TL;DR
This paper reviews six key topics related to inscribable polytopes, highlighting recent advances, classical results, and open questions in the field.
Contribution
It provides a comprehensive overview of six specific areas in inscribable polytopes, including new and old open questions, advancing understanding of this classic yet active research area.
Findings
Compilation of well-known results and recent developments
Identification of open questions in inscribable polytopes
Enhanced understanding of six specific topics
Abstract
Inscribability of polytopes is a classic subject but also a lively research area nowadays. We illustrate this with a selection of well-known results and recent developments on six particular topics related to inscribable polytopes. Along the way we collect a list of (new and old) open questions.
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Taxonomy
Topicssemigroups and automata theory · Advanced Combinatorial Mathematics · graph theory and CDMA systems
