2 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.MG2025
From affine to barycentric coordinates in polytopes
Anna B. Romanowska, Jonathan D. H. Smith, Anna Zamojska-Dzienio
Each point of a simplex is expressed as a unique convex combination of the vertices. The coefficients in the combination are the barycentric coordinates of the point. For each poin…