Geometric Hyperplanes: Desargues Encodes Doily
Combinatorics
2011-01-06 v1
Abstract
It is shown that the structure of the generalized quadrangle of order two is fully encoded in the properties of the Desargues configuration. A point of the quadrangle is represented by a geometric hyperplane of the Desargues configuration and its line by a set of three hyperplanes such that one of them is the complement of the symmetric difference of the remaining two and they all share a pair of non-collinear points.
Cite
@article{arxiv.1101.0977,
title = {Geometric Hyperplanes: Desargues Encodes Doily},
author = {Metod Saniga},
journal= {arXiv preprint arXiv:1101.0977},
year = {2011}
}
Comments
4 pages, 3 figures