The Configurations (13_3)

Keywords: $(n,3)$-configuration, geometric configuration, anti-Pappian, rational coordinatization

Abstract

There are 2036 configurations (133). Here we establish that all of them are geometric; moreover, all have rational coordinatizations in the plane. This supports Grünbaum’s conjecture that a geometric (n3) configuration always has a rational coordinatization.

Published
2021-11-17
Section
Bled 2019 – Polytopes, Configurations, and Symmetries (Grünbaum Issue)