2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.MG2016
Rectifications of Convex Polyhedra
Samuel Reid
A convex polyhedron, that is, a compact convex subset of which is the intersection of finitely many closed half-spaces, can be rectified by taking the convex hull of…
math.MG2016
On Arrangements of Six, Seven, and Eight Spheres: Maximal Bonding of Monatomic Ionic Compounds
Samuel Reid
Let be the solution to the contact number problem, i.e., the maximum number of touching pairs among any packing of congruent spheres in . We prove the long…
math.MG2015★ 2 cited
Regular Totally Separable Sphere Packings
Samuel Reid
The topic of totally separable sphere packings is surveyed with a focus on regular constructions, uniform tilings, and contact number problems. An enumeration of all regular totall…