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- W2018068611 abstract "In 1964 Grunbaum conjectured that any primitive set illuminating from within a convex body in E d , d ≥ 3 , has at most 2 d points. This was confirmed by V. Soltan in 1995 for the case d = 3 . Here we give a negative answer to Grunbaum's conjecture for all d ≥ 4 , by constructing a convex body K ⊂ E d with primitive illuminating sets of an arbitrarily large cardinality." @default.
- W2018068611 created "2016-06-24" @default.
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- W2018068611 date "1999-10-01" @default.
- W2018068611 modified "2023-10-05" @default.
- W2018068611 title "On Grünbaum's Conjecture about Inner Illumination of Convex Bodies" @default.
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- W2018068611 doi "https://doi.org/10.1007/pl00009468" @default.
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