2025/10/15 by Jay M. Jahangiri, Moshe Stupel, David Fraivert
Engineering · Mathematics · #Mathematics and Applications #Point processes and geometric inequalities #graph theory and CDMA systems
paper · doi:10.1017/mag.2025.10122
openalex created_date 2025/10/15 · openalex publication_date 2025/10/15 · crossref created 2025/10/15 · crossref issued 2025/11/01 · crossref published 2025/11/01 · crossref published-print 2025/11/01 · crossref published-online 2025/12/09 · openalex updated_date 2026/06/11 · crossref deposited 2026/07/27 · crossref indexed 2026/07/27
In Euclidean geometry, a tangential polygon or a circumgon is a polygon that contains an inscribed circle which is also called an incircle and the radius of its incircle is called the inradius. A tangential polygon may be concave or convex. If it is concave, it is the extension of some of its sides that is tangent to the incircle. In this Article we restrict ourselves to convex tangential polygons, so that their corresponding incircles are tangent to each of its sides. Every regular polygon is a circumgon and there are also irregular polygons that are circumgons but not all irregular polygons are circumgons. In what follows, we shall use circumgon or tangential polygon interchangeably according to the situation.