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math.MG2016
A generalisation of Sylvester's problem to higher dimensions
Simeon Ball, Joaquim Monserrat
In this article we consider to be a set of points in -space with the property that any points of span a hyperplane and not all the points of are contained in a h…
math.MG2016
On sets defining few ordinary planes
Simeon Ball
Let be a set of points in real three-dimensional space, no three collinear and not all co-planar. We prove that if the number of planes incident with exactly three points o…