Event calendar file
19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
The smallest regular polytopes of each rank
Presented by Prof. Marston CONDER
Type: Oral presentation
Track: Polytopes and Incidence Geometries
Content
An abstract polytope is called {\em regular\/} if its
automorphism group has a single orbit on flags (maximal chains).
In this lecture I will report on recent work on finding for each $n$
the regular $n$-polytopes with the smallest numbers of flags.
With a few small exceptions, these are also the regular
$n$-polytopes with the smallest numbers of elements, and those
with the smallest number of links in the Hasse diagram.
Surprisingly, for $n >3$ the smallest instances are not the
regular $n$-simplices (of type $[3,3,\dots,3]$).
Place
Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled
