Peter Doyle

collaborators

2 papers

math.MG2026

Neoplatonic solids

Peter Doyle, Matthew Ellison

A \emph{6-net} is a simplicial triangulation of the $2$ -sphere with maximum degree $\leq 6$ . Experiments suggest that every $6$ -net admits a unique realization as an undented Eucli…

math.GT2025

Taut fillings

Peter Doyle, Matthew Ellison, Zili Wang

Let $σ$ 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 one…