New York Journal of Mathematics
Volume 4 (1998) 83-95


H. Burgiel and V. Reiner

Two Signed Associahedra

Published: August 2, 1998
Keywords: associahedron, Coxeter groups, convex polytope, triangulation
Subject: Primary, 52B12, 20F55

The associahedron is a convex polytope whose vertices correspond to triangulations of a convex polygon. We define two signed or hyperoctahedral analogues of the associahedron, one of which is shown to be a simple convex polytope, and the other a regular CW-sphere.


First author's research supported by a Postdoctoral fellowship at The Geometry Center at the University of Minnesota. Second author's research supported by a Sloan Foundation Fellowship and a University of Minnesota McKnight-Land Grant Fellowship.

Author information

H. Burgiel:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 South Morgan St. (M/C 249), Chicago, IL 60607-7045

V. Reiner:
University of Minnesota School of Mathematics, Minneapolis, MN 55455