The Complement of Binary Klein Quadric as a Combinatorial Grassmannian
arXiv:1409.5691 · doi:10.3390/math3020481
Abstract
Given a hyperbolic quadric of PG(5,2), there are 28 points off this quadric and 56 lines skew to it. It is shown that the -configuration formed by these points and lines is isomorphic to the combinatorial Grassmannian of type . It is also pointed out that a set of seven points of whose labels share a mark corresponds to a Conwell heptad of PG(5,2). Gradual removal of Conwell heptads from the -configuration yields a nested sequence of binomial configurations identical with part of that found to be associated with Cayley-Dickson algebras (arXiv:1405.6888).
4 pages, 4 tables