Shira Viel, NC State,Folding and dominance: relationships among mutation fans for surfaces and orbifolds
SAS 4201The $n$-associahedron is a well-known $n$-dimensional polytope whose vertices are labeled by triangulations of an $(n+3)$-gon with edges given by diagonal flips. The $n$-cyclohedron is defined analogously using centrally-symmetric triangulations of a $(2n+2)$-gon, or, modding out by the symmetry, triangulations of an $(n+1)$-gon with one orbifold point. The polytopes can be realized in such a…