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Geometric Hyperplanes: Desargues Encodes Doily
Published 3 Jan 2011 in math.CO | (1101.0977v1)
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.
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