75 citations · 161 across the 22 of their papers we have counts for
4 papers · 1 filter
Unfolding Overlaps of the Exceptional Regular Polytopes
Satyan L. Devadoss, Matthew Harvey, David Richter
We find explicit ridge unfoldings of the three exceptional 4D polytopes (24-cell, 120-cell, 600-cell) that result in overlaps of their facets. These failures bring an end to the fu…
Unfoldings and Nets of Regular Polytopes
Satyan L. Devadoss, Matthew Harvey
Over a decade ago, it was shown that every edge unfolding of the Platonic solids was without self-overlap, yielding a valid net. We consider this property for regular polytopes in…
Skeletal Rigidity of Phylogenetic Trees
Howard Cheng, Satyan L. Devadoss, Brian Li +1
Motivated by geometric origami and the straight skeleton construction, we outline a map between spaces of phylogenetic trees and spaces of planar polygons. The limitations of this…
Compatible Triangulations and Point Partitions by Series-Triangular Graphs
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to improve the upper bound on the number of Steiner points…