Geometric Hyperplanes: Desargues Encodes Doily

Details Geometric Hyperplanes: Desargues Encodes Doily Geometric Hyperplanes: Desargues Encodes Doily

2011-01-03

arxiv.org/abs/1101.0977v1

Mathematics

Combinatorics

4 pages, 3 figures

Scientific paper

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.

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