27 citations · 57 across the 12 of their papers we have counts for
3 papers · 1 filter
Certain Hyperbolic Regular Polygonal Tiles are Isoperimetric
Jack Hirsch, Kevin Li, Jackson Petty +1
The hexagon is the least-perimeter tile in the Euclidean plane. On hyperbolic surfaces, the isoperimetric problem differs for every given area. Cox conjectured that a regular -g…
Optimal monohedral tilings of hyperbolic surfaces
Leonardo Di Giosia, Jahangir Habib, Jack Hirsch +6
The hexagon is the least-perimeter tile in the Euclidean plane for any given area. On hyperbolic surfaces, this "isoperimetric" problem differs for every given area, as solutions d…
The Optimal Double Bubble for Density
Jack Hirsch, Kevin Li, Jackson Petty +1
In 1993 Foisy et al. proved that the optimal Euclidean planar double bubble---the least-perimeter way to enclose and separate two given areas---is three circular arcs meeting at 12…