Abstract
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.
Article PDF
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Brandenberg, R. Radii of Regular Polytopes. Discrete Comput Geom 33, 43–55 (2005). https://doi.org/10.1007/s00454-004-1127-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00454-004-1127-1