Peter Doyle

works on

computational geometry 1 discrete geometry 1 hyperbolic geometry 1 polyhedra 1 triangulations 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.MG2026

Neoplatonic solids

Peter Doyle, Matthew Ellison

The paper studies special triangulations of the sphere called 6-nets and shows they can be uniquely realized as Euclidean and hyperbolic polyhedra built from unit equilateral trian…

math.GT2026

Taut fillings

Peter Doyle, Matthew Ellison, Zili Wang

Let $I ¨ $ be a simplicial triangulation of the 2-sphere, $X$ the associated integral 2-cycle. A filling of $X$ is an integral 3-chain $M$ with $\partial M = X$ ; a taut filling is on…