Secondary polytope of the perturbed "mother of all examples" EG-Models Home

image pmother.sec.gif
image pmother.gif
Electronic Geometry Model No. 2000.09.034


Julian Pfeifle


Secondary polytope of the perturbed "mother of all examples".

This point configuration arises by slightly perturbing the "mother of all examples". The two non-regular triangulations of the original configuration now separate, one of them becoming regular in the process. The other one moves into the interior of the secondary polytope.

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

Model produced with: polymake 1.4, TOPCOM 0.9.0

Keywords secondary polytope; triangulation
MSC-2000 Classification 52B11 (52B55)
Zentralblatt No. 01682983


  1. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky: Discriminants, Resultants, and Multidimensional Determinants, Birkhäuser (1994).
  2. G. Kempf, F. Knudsen, D. Mumford, B. Saint-Donat: Toroidal embeddings. I., Springer LNM 339 (1973).


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