Geodesic
Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope
Séminaire lotharingien de combinatoire, 78B (2017) 
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/
@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/}
}
TY  - JOUR
AU  - Richard Ehrenborg
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
PY  - 2017
VL  - 78B
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/
ID  - SLC_2017_78B_a31
ER  - 
%0 Journal Article
%A Richard Ehrenborg
%A Gábor Hetyei
%A Margaret Readdy
%T Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/
%F SLC_2017_78B_a31

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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.