The Geodesic Universe: Fuller's Spherical Geometry as the Physical Implementation of the Koku-Face Riemann Topology (v2)
Revised v2: Added Section 2.1b establishing the mathematical privilege of geodesic triangulation over arbitrary spherical triangulations. Proves that icosahedral geodesic subdivision uniquely minimizes conformal variance (σ²_conformal) among all discrete spherical approximations of equal face count, via the icosahedron's unique vertex/edge/face-transitivity (symmetry group order 120). Includes formal theorem statement and comparison table.
Authors
- Yoshimitsu Katayama (ORCID: https://orcid.org/0009-0006-2290-6593)
Institutions
- Bukhara State University (UZ)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-18
- DOI
- https://doi.org/10.5281/zenodo.20740282
- Primary Topic
- Mathematics and Applications
- Type
- preprint