4 citations · 7 across the 17 of their papers we have counts for
7 papers · 1 filter
Zero-sum cycles in flexible polyhedra
Matteo Gallet, Georg Grasegger, Jan Legerský +1
We show that if a polyhedron in the three-dimensional affine space with triangular faces is flexible, i.e., can be continuously deformed preserving the shape of its faces, then the…
Bracing frameworks consisting of parallelograms
Georg Grasegger, Jan Legerský
A rectangle in the plane can be continuously deformed preserving its edge lengths, but adding a diagonal brace prevents such a deformation. Bolker and Crapo characterized combinato…
Combinatorics of Bricard's octahedra
Matteo Gallet, Georg Grasegger, Jan Legerský +1
We re-prove the classification of flexible octahedra, obtained by Bricard at the beginning of the XX century, by means of combinatorial objects satisfying some elementary rules. Th…
FlexRiLoG -- A SageMath Package for Motions of Graphs
Georg Grasegger, Jan Legerský
In this paper we present the SageMath package FlexRiLoG (short for flexible and rigid labelings of graphs). Based on recent results the software generates motions of graphs using s…
On the Classification of Motions of Paradoxically Movable Graphs
Georg Grasegger, Jan Legerský, Josef Schicho
Edge lengths of a graph are called flexible if there exist infinitely many non-congruent realizations of the graph in the plane satisfying these edge lengths. It has been shown rec…
Flexible placements of graphs with rotational symmetry
Sean Dewar, Georg Grasegger, Jan Legerský
We study the existence of an -fold rotationally symmetric placement of a symmetric graph in the plane allowing a continuous deformation that preserves the symmetry and the dista…