Work

A finite-scale centering-gap counterexample for symmetric decagons

Year: 2026

Type: preprint

Abstract: The paper gives an explicit family of origin-symmetric decagons approaching the affine-regular hexagon. The centering gap exceeds one quarter of the squared linear Banach–Mazur distance excess by a positive cubic lower bound in the construction parameter. The result is provisional and conditional on the stated hexagon premises and old-octagon lower bounds.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24060520

Author: Barritz, Robert

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225577040

Cites: 4

Cited by: 1

Related to: 10