Geodesic
Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope
Séminaire lotharingien de combinatoire, 78B (2017) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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We show that Simion's type B associahedron is combinatorially equivalent to a pulling triangulation of a type B root polytope called the Legendre polytope. Furthermore, we show that every pulling triangulation of the Legendre polytope yields a flag complex. Our triangulation refines a decomposition of the Legendre polytope given by Cho. We extend Cho's cyclic group action to the triangulation in such a way that it corresponds to rotating centrally symmetric triangulations of a regular (2n+2)-gon. 

@article{SLC_2017_78B_a31,
     author = {Richard Ehrenborg and G\'abor Hetyei and Margaret Readdy},
     title = {Realizing {Simion's} {Type} {B} {Associahedron} as a {Pulling} {Triangulation} of the {Legendre} {Polytope}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2017},
     volume = {78B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/}
}
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AU  - Gábor Hetyei
AU  - Margaret Readdy
TI  - Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope
JO  - Séminaire lotharingien de combinatoire
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%A Margaret Readdy
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%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/
%F SLC_2017_78B_a31
Richard Ehrenborg; Gábor Hetyei; Margaret Readdy. Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/