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TOT 095 1985 Spring S4 2 convex sets F cover circle radius R

Source:

August 24, 2019
convexcircleCovercombinatorial geometrygeometry

Problem Statement

The convex set FF does not cover a semi-circle of radius RR. Is it possible that two sets, congruent to FF, cover the circle of radius RR ? What if FF is not convex?
( N . B . Vasiliev , A. G . Samosvat)
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