Geometriae Dedicata

, Volume 67, Issue 2, pp 117–128

A Problem of Blocking Light Rays

  • Chuanming Zong

DOI: 10.1023/A:1004974630549

Cite this article as:
Zong, C. Geometriae Dedicata (1997) 67: 117. doi:10.1023/A:1004974630549


Let K be an n-dimensional convex body with interior int(K). This article mainly deals with the following problem: How many nonoverlapping translates of K (or int(K)) are enough to block all the light rays (straight lines) starting from K?

affine regular hexagonBlaschke's selection theoremdifference bodyHausdorff-metricMahler's selection theoremparallelohedrontiling.

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Chuanming Zong
    • 1
    • 2
  1. 1.Department of MathematicsUniversity College LondonLondonU.K.
  2. 2.Institute of MathematicsThe Chinese Academy of SciencesBeijingP. R. China