Louis Theran

activity

20072026

most citedGeneric combinatorial rigidity of periodic frameworks

72 citations · 250 across the 57 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.MG2020

Trilateration using Unlabeled Path or Loop Lengths

Ioannis Gkioulekas, Steven J. Gortler, Louis Theran +1

Let $p$ be a configuration of $n$ points in $R^{d}$ for some $n$ and some $d \geq 2$ . Each pair of points defines an edge, which has a Euclideanlength in the configu…

math.MG2020★ 2 cited

Linear Symmetries of the Unsquared Measurement Variety

Ioannis Gkioulekas, Steven J. Gortler, Louis Theran +1

We introduce a new family of algebraic varieties, $L_{d, n}$ , which we call the unsquared measurement varieties. This family is parameterized by a number of points $n$ and a dimensi…

math.MG2020

Reconstruction in one dimension from unlabeled Euclidean lengths

Robert Connelly, Steven J. Gortler, Louis Theran

Let $G$ be a $3$ -connected ordered graph with $n$ vertices and $m$ edges. Let $p$ be a randomly chosen mapping of these $n$ vertices to the integer range $\{1, 2,3, \ldots…

cond-mat.soft2020★ 33 cited

Hidden symmetries generate rigid folding mechanisms in periodic origami

James McInerney, Bryan Gin-ge Chen, Louis Theran +2

We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such sheets to force-bearing mo…