23 citations · 120 across the 28 of their papers we have counts for
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math.DS2018★ 4 cited
Canonical projection tilings defined by patterns
Nicolas Bédaride, Thomas Fernique
We give a necessary and sufficient condition on a -dimensional affine subspace of to be characterized by a finite set of patterns which are forbidden to appear in…
math.MG2018
Compact packings of the space with two sizes of spheres
Thomas Fernique
Compact packings are specific packings of spheres which can be seen as tilings and are good candidates to maximize the density. We show that the compact packings of the Euclidean s…
cs.DM2018★ 12 cited
Compact packings of the plane with three sizes of discs
Thomas Fernique, Amir Hashemi, Olga Sizova
A compact packing is a set of non-overlapping discs where all the holes between discs are curvilinear triangles. There is only one compact packing by discs of size . There are e…