Primitive Inner Illuminating Systems for Convex Bodies |
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| Authors: | H Martini V Soltan |
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| Institution: | (1) Fakultät für Mathematik, TU Chemnitz, D-09107 Chemnitz, Germany;(2) Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, U.S.A. |
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| Abstract: | A set X of boundary points of a (possibly unbounded) convex body K E
d illuminating K from within is called primitive if no proper subset of X still illuminates K from within. We prove that for such a primitive set X of an unbounded, convex set KE
d (distinct from a cone) one has  X=2 if d=2, X 6 if d=3, and that there is no upper bound for X if d 4. |
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| Keywords: | Convex body illumination from within moment curve primitive illuminating system shadow-boundary unbounded convex body |
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