For the first time complete lists of two pairs of inner and outer radii classes of the three types of regular polytopes which exist in all dimensions are presented. A new approach using isotropic polytopes provides better understanding of the underlying geometry and helps to unify the results.
Journal title:
Discrete & Computational Geometry
Year:
2005
Journal issue:
33 / 1
Pages contribution:
43-55
Reviewed:
ja
Language:
en
Publisher:
Springer
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik