72 citations · 250 across the 57 of their papers we have counts for
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math.MG2014★ 3 cited
Universality theorems for inscribed polytopes and Delaunay triangulations
Karim A. Adiprasito, Arnau Padrol, Louis Theran
We prove that every primary basic semialgebraic set is homotopy equivalent to the set of inscribed realizations (up to Möbius transformation) of a polytope. If the semialgebraic se…
math.MG2014★ 3 cited
Ultrarigid periodic frameworks
Justin Malestein, Louis Theran
We give an algebraic characterization of when a -dimensional periodic framework has no non-trivial, symmetry preserving, motion for any choice of periodicity lattice. Our condit…