Analysis reveals exact illumination parameters for Platonic solids, suggesting insights for Archimedean solids.
Convex bodies with large illumination parameters are constructed in each dimension. The exact values of the illumination parameters of the centrally symmetric Platonic solids are calculated, and estimates on the illumination parameters of the centrally symmetric Archimedean solids are given.
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Kiss et al. (2012) studied this question.
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