A lower bound on the number of sharp shadow-boundaries of convex polytopes |
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| Authors: | E Makai Jr H Martini |
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| Institution: | (1) MTA Matematikai Kutatóintézet, Reáltanoda u. 13-15, P. O. Box 127, H-1364 Budapest, Hungary;(2) Sektion Mathematik, Pädagogische Hochschule, Wigardstrasse 17, DDR-8060 Dresden, German Democratic Republic |
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| Abstract: | We give the lower bound on the number of sharp shadow-boundaries of convexd-polytopes (or unbounded convex polytopal sets) withn facets. The polytopes (sets) attaining these bounds are characterized. Additionally, our results will be transferred to the dual theory.The research work of the first author was (partially) supported by Hungarian National Foundation for Scientific Research, grant no. 1812. |
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| Keywords: | Primary 52A25 Secondary 51M20 |
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