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math.CO2018★ 1 cited
On sets defining few ordinary hyperplanes
Aaron Lin, Konrad Swanepoel
Let be a set of points in real projective -space, not all contained in a hyperplane, such that any points span a hyperplane. An ordinary hyperplane of is a hyper…
math.CO2018
Ordinary planes, coplanar quadruples, and space quartics
Aaron Lin, Konrad Swanepoel
An ordinary plane of a finite set of points in real 3-space with no three collinear is a plane intersecting the set in exactly three points. We prove a structure theorem for sets o…