Approximation of convex bodies by simplices |
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| Authors: | Pavel Novotný |
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| Institution: | (1) Department of Mathematics, Technical University of Transport and Communications, 010 26  ilina, Slovakia |
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| Abstract: | This paper deals with the following kind of approximation of a convex bodyQ in Euclidean space E
n
by simplices: which is the smallest positive numberh
S(Q) such thatS
1  Q S
2 for a simplexS
1 and its homothetic copyS
2 of ratioh
S(Q). It is shown that ifS
0 is a simplex of maximal volume contained inQ, then a homothetic copy ofS
0 of ratio 13/3 containsQ. |
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| Keywords: | 52A27 |
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