Miklos Schweitzer 1973_7
Source:
November 12, 2008
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Problem Statement
Let us connect consecutive vertices of a regular heptagon inscribed in a unit circle by connected subsets (of the plane of the circle) of diameter less than . Show that every continuum (in the plane of the circle) of diameter greater than , containing the center of the circle, intersects one of these connected sets.
M. Bognar