Concepts Related to Constant Width

  • Horst MartiniEmail author
  • Luis Montejano
  • Déborah Oliveros


A polytope P is circumscribed about a convex body \(\phi \subset \mathbb {E}^n\) if \(\phi \subset P\) and each facet of P intersects \(\phi \); i.e., every facet of P is contained in a support hyperplane of \(\phi \). A polytope P is inscribed in the convex body \(\phi \) if \(P\subset \phi \) and each of its vertices belongs to \({{\,\mathrm{\mathrm {bd}}\,}}\phi \).

Supplementary material

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Horst Martini
    • 1
    Email author
  • Luis Montejano
    • 2
  • Déborah Oliveros
    • 2
  1. 1.Faculty of MathematicsChemnitz University of TechnologyChemnitzGermany
  2. 2.Instituto de MatemáticasUniversidad Nacional Autónoma de México, Campus JuriquillaQuerétaroMéxico

Personalised recommendations