Spherical friezes
Abstract
Abstract A fundamental problem in spherical distance geometry aims to recover an n -tuple of points on a 2-sphere in $$\mathbb {R}^3$$ R 3 , viewed up to oriented isometry, from a collection of O ( n ) input measurements. We solve this problem using algorithms that employ only the four arithmetic operations. Each algorithm recursively produces output data that we arrange into a new type of frieze pattern. These frieze patterns exhibit glide symmetry and a version of the Laurent phenomenon.
Fields of Study & Subjects
Computational Geometry and Mesh Generation
Topological and Geometric Data Analysis
Mathematical Approximation and Integration
Publication details
- Journal / source
- Selecta Mathematica
- Publisher
- Springer Science and Business Media LLC
- Volume
- 32
- Issue
- 4
- Publication date
- 1 September 2026
- Language
- EN