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An upper bound on the volume of the symmetric difference of a body and a congruent copy

Advances in Geometry ◽

10.1515/advgeom-2013-0029 ◽

2014 ◽

Vol 14 (2) ◽

Cited By ~ 6

Author(s):

D. Schymura

Keyword(s):

Upper Bound ◽

Symmetric Difference ◽

Congruent Copy

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A LOWER BOUND FOR LEBESGUE'S UNIVERSAL COVER PROBLEM

International Journal of Computational Geometry & Applications ◽

10.1142/s0218195905001828 ◽

2005 ◽

Vol 15 (05) ◽

pp. 537-544 ◽

Cited By ~ 4

Author(s):

PETER BRASS ◽

MEHRBOD SHARIFI

Keyword(s):

Lower Bound ◽

Convex Set ◽

Universal Cover ◽

Computer Search ◽

Congruent Copy ◽

Cover Problem

In the following we show that any convex set that contains a congruent copy of any set of diameter one (universal cover) has area at least 0.832. This considerably improves the lower bound for Lebesgue's universal cover problem, using a combination of computer search and geometric bounds.

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Convex surfaces which intersect each congruent copy of themselves in a connected set

Israel Journal of Mathematics ◽

10.1007/bf02764878 ◽

1986 ◽

Vol 54 (1) ◽

pp. 71-80 ◽

Cited By ~ 1

Author(s):

Peter Mani-Levitska

Keyword(s):

Convex Surfaces ◽

Congruent Copy ◽

Connected Set

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An upper bound on the volume of the symmetric difference of a body and a congruent copy

A LOWER BOUND FOR LEBESGUE'S UNIVERSAL COVER PROBLEM

Convex surfaces which intersect each congruent copy of themselves in a connected set

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congruent copyRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

An upper bound on the volume of the symmetric difference of a body and a congruent copy

A LOWER BOUND FOR LEBESGUE'S UNIVERSAL COVER PROBLEM

Convex surfaces which intersect each congruent copy of themselves in a connected set

congruent copy
Recently Published Documents