Abstract
LetS 0 be a convex surface ind-dimensional Euclidean spaceE d. Then, ifS 0 is smooth and strictly convex, we prove that the typical convex body touches the convex suface circumscribed about it and homothetic toS 0 at preciselyd+1 points.
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Zucco, A. The generic contact of convex bodies with circumscribed homothets of a convex surface. Discrete Comput Geom 7, 319–323 (1992). https://doi.org/10.1007/BF02187844
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DOI: https://doi.org/10.1007/BF02187844