3 papers
math.MG2026
On the intrinsic geometry of polyhedra: Convex polygon coordinates
Anna B. Romanowska, Jonathan D. H. Smith, Anna Zamojska-Dzienio
There is a very extensive literature dealing with convex polytopes from the standpoints of combinatorics and numerical analysis. By contrast, the current paper adopts an alternativ…
math.CO2025
Geometry of dyadic polygons II: isomorphisms of dyadic triangles
A. MuÄka, A. B. Romanowska
This paper is the second part of a two-part paper investigating the structure and properties of dyadic polygons. A dyadic polygon is the intersection of the dyadic subplane o…
math.RA2025
Geometry of dyadic polygons I: the structure of dyadic triangles
A. MuÄka, A. Romanowska
Dyadic rationals are rationals whose denominator is a power of 2. A dyadic n-dimensional convex set is defined as the intersection with n-dimensional dyadic space of an n-dimension…