Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem

  title={Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem},
  author={R. Zivaljevic},
  journal={Comput. Geom.},
  • R. Zivaljevic
  • Published 2015
  • Mathematics, Computer Science
  • Comput. Geom.
  • Abstract Illumination complexes are examples of ‘flat polyhedral complexes’ which arise if several copies of a convex polyhedron (convex body) Q are glued together along some of their common faces (closed convex subsets of their boundaries). A particularly nice example arises if Q is a Δ-zonotope (generalized rhombic dodecahedron), known also as the dual of the difference body Δ − Δ of a simplex Δ, or the dual of the convex hull of the root system A n . We demonstrate that the illumination… CONTINUE READING
    4 Citations

    Topics from this paper

    Another Ham Sandwich in the Plane
    • 1
    • PDF
    A Survey of mass partitions
    • 1
    • PDF