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math.GT2017★ 2 cited
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…
math.GT2017★ 2 cited
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…