# Illumination complexes, {\Delta}-zonotopes, and the polyhedral curtain theorem

@article{Zivaljevic2013IlluminationC, title={Illumination complexes, \{\Delta\}-zonotopes, and the polyhedral curtain theorem}, author={R. Zivaljevic}, journal={arXiv: Metric Geometry}, year={2013} }

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 {\Delta}-zonotope (generalized rhombic dodecahedron), known also as the dual of the difference body {\Delta} - {\Delta} of a simplex {\Delta}, or the dual of the convex hull of the root system A_n. We demonstrate that the… CONTINUE READING

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