72 citations · 82 across the 5 of their papers we have counts for
8 papers
When Soap Bubbles Collide
Colin Adams, Frank Morgan, John M Sullivan
Can you fill R^n with a froth of "soap bubbles" that meet at most n at a time? Not if they have bounded diameter, as follows from Lebesgue's Covering Theorem. We provide some relat…
Some Ropelength-Critical Clasps
John M. Sullivan, Nancy C. Wrinkle
We describe several configurations of clasped ropes which are balanced and thus critical for the Gehring ropelength problem of arXiv:math.DG/0402212.
Tiling space and slabs with acute tetrahedra
David Eppstein, John M. Sullivan, Alper Ungor
We show it is possible to tile three-dimensional space using only tetrahedra with acute dihedral angles. We present several constructions to achieve this, including one in which al…
Building Space-Time Meshes over Arbitrary Spatial Domains
Jeff Erickson, Damrong Guoy, John M. Sullivan +1
We present an algorithm to construct meshes suitable for space-time discontinuous Galerkin finite-element methods. Our method generalizes and improves the `Tent Pitcher' algorithm…
Cubic Polyhedra
Chaim Goodman-Strauss, John M Sullivan
A cubic polyhedron is a polyhedral surface whose edges are exactly all the edges of the cubic lattice. Every such polyhedron is a discrete minimal surface, and it appears that many…
Approximating Ropelength by Energy Functions
John M Sullivan
The ropelength of a knot is the quotient of its length by its thickness. We consider a family of energy functions for knots, depending on a power p, which approach ropelength as p…