Cameron Strachan

activity

20202026

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2026

The number of touching pairs of congruent sphere packings in Euclidean 3-space

Cameron Strachan

A packing of $n$ congruent balls in $R^{3}$ is a family of interior-disjoint Euclidean balls all having the same radius. The contact number of a packing is the number of tou…

math.CO2025

Edge isoperimetry of lattices

Cameron Strachan, Konrad Swanepoel

We present two results related to an edge-isoperimetric question for Cayley graphs on the integer lattice asked by Ben Barber and Joshua Erde [Isoperimetry of Integer Lattices, Dis…

math.CO2022

Vertex Classification of Planar C-polygons

Illya Ivanov, Cameron Strachan

Given a convex domain $C$ , a $C$ -polygon is an intersection of $n \geq 2$ homothets of $C$ . If the homothets are translates of $C$ then we call the intersection a translative $C$ -po…