Secondary polytope of the prism over the 3-simplex EG-Models Home

image prism3simplex.sec.gif
image prism3simplex.gif
Electronic Geometry Model No. 2000.09.035


Julian Pfeifle


Secondary polytope of the prism over the 3-simplex.

All triangulations of the prism over the 3-simplex are regular. The secondary polytope has dimension 3 and is a permutahedron.

The file prism3simplex.sec.poly contains all triangulations of this point configuration and its flip graph. This graph is also provided in gml format in the file prism3simplex.sec.gml .

Model produced with: polymake 1.4, TOPCOM 0.9.0

Keywords secondary polytope; triangulation
MSC-2000 Classification 52B11 (52B55)
Zentralblatt No. 01682984


  1. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky: Discriminants, Resultants, and Multidimensional Determinants, Birkhäuser (1994).


Submission information

Submitted: Sun Sep 10 07:10:24 CET 2000.
Accepted: Mon Nov 20 17:06:57 CET 2000.

Author's Address

Julian Pfeifle
Technische Universität Berlin
Fachbereich Mathematik, MA 7-1
Straße des 17. Juni 136
10623 Berlin, Germany