10 citations · 23 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
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…
On subsets of the normal rational curve
Simeon Ball, Jan De Beule
A normal rational curve of the -dimensional projective space over is an arc of size , since any points of the curve span the whole space. In this ar…
Extending small arcs to large arcs
Simeon Ball
An arc is a set of vectors of the -dimensional vector space over the finite field with elements , in which every subset of size is a basis of the space, i…