13 citations · 58 across the 16 of their papers we have counts for
4 papers · 1 filter
The raspberries in three dimensions with at most two sizes of berry
Miek Messerschmidt
In three dimensional Euclidean space, a raspberry is defined to be an arrangement of spheres with pairwise disjoint interiors, where all spheres are tangent to a central unit spher…
On compact packings of Euclidean space with spheres of finitely many sizes
Eder Kikianty, Miek Messerschmidt
For , a compact sphere packing of Euclidean space is a set of spheres in with disjoint interiors so that the contact hypergraph of…
The number of configurations of radii that can occur in compact packings of the plane with discs of sizes is finite
Miek Messerschmidt
By a compact packing of the plane by discs, , we mean a collection of closed discs in the plane with pairwise disjoint interior so that, for every disc , there exists a…
On compact packings of the plane with circles of three radii
Miek Messerschmidt
A compact circle-packing of the Euclidean plane is a set of circles which bound mutually disjoint open discs with the property that, for every circle , there exists a m…