On the total length of edges of a polyhedral unit ball

Authors

  • Düvelmeyer, Nico

Abstract

Considering all three-dimensional Minkowski spaces with polyhedral norms, we ask for the unit balls having minimal total length of edges with respect to the induced norm. This question is completely answered for several classes of centrally symmetric polyhedra, e.g. for the family of all zonohedra.

Published

2005-06-09

How to Cite

Düvelmeyer, Nico. (2005). On the total length of edges of a polyhedral unit ball. Utilitas Mathematica, 68. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/351

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