Posted March 6, 2014 Suppose you have a unit square and a equilateral triangle of the same area. A vertex of the triangle shares location with the center of the square. What is the maximum possible overlap? What is the minimum possible overlap? 0 Share this post Link to post Share on other sites

0 Posted March 7, 2014 Extrema of areal overlap occur when median aligns with diagonal of square (max) or is perpendicular to edge of square (min). A_{max} = 1/4 (1 - tan 15^{o}) = 0.183012 ... A_{min} = 1/4 (tan 30^{o}) = 0.144337... 0 Share this post Link to post Share on other sites

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Suppose you have a unit square and a equilateral triangle of the same area. A vertex of the triangle shares location with the center of the square. What is the maximum possible overlap? What is the minimum possible overlap?

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