7 citations · 42 across the 33 of their papers we have counts for
4 papers · 1 filter
Polygons with prescribed edge slopes: configuration space and extremal points of perimeter
Joseph Gordon, Gaiane Panina, Yana Teplitskaya
We describe the configuration space of polygons with prescribed edge slopes, and study the perimeter as a Morse function on . We characterize…
Intersection numbers of Chern classes of tautological line bundles on the moduli spaces of flexible polygons
Ilia Nekrasov, Gaiane Panina, Alena Zhukova
Given a flexible -gon with generic side lengths, the moduli space of its configurations in as well as in is a smooth manifold. It is equipped with…
On the area of constrained polygonal linkages
Gaiane Panina, Dirk Siersma
We study configuration spaces of linkages whose underlying graph are polygons with diagonal constrains, or more general, partial two-trees. We show that (with an appropriate defini…
Diagonal complexes
Joseph Gordon, Gaiane Panina
Given an -gon, the poset of all collections of pairwise non-crossing diagonals is isomorphic to the face poset of some convex polytope called \textit{associahedron}. We replace…