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ILL 1969 Problem 46

    (NET1)(NET 1) The vertices of an (n+1)−(n + 1)- g on are placed on the edges of a regular n−n- g on so that the perimeter of the n−n- g on is divided into equal parts. How does one choose these n+1n + 1 points in order to obtain the (n+1)−(n + 1)- g on with (a)(a) maximal area; (b)(b) minimal area?

    Dataset text AoPS wiki problems. Quoted with source.

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