75 citations · 161 across the 22 of their papers we have counts for
26 papers
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…
Compactifications of phylogenetic systems and species of electrical networks
Satyan L. Devadoss, Stefan Forcey
We describe new spaces and maps. Our graphical map is a visual and numerical correspondence between spaces of circular electrical networks and circular planar split systems. When r…
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…
Colorful Graph Associahedra
Satyan L. Devadoss, Mia Smith
Given a graph G, the graph associahedron is a simple convex polytope whose face poset is based on the connected subgraphs of G. With the additional assignment of a color palette, w…
Unfolding cubes: nets, packings, partitions, chords
Kristin DeSplinter, Satyan L. Devadoss, Jordan Readyhough +1
We show that every ridge unfolding of an -cube is without self-overlap, yielding a valid net. The results are obtained by developing machinery that translates cube unfolding int…
Split Network Polytopes and Network Spaces
Satyan Devadoss, Cassandra Durell, Stefan Forcey
Phylogenetics begins with reconstructing biological family trees from genetic data. Since Nature is not limited to tree-like histories, we use networks to organize our data, and ha…