Area Bisectors via Monte Carlo

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If random points are scattered over a shape, a line with half the points on each side will be close to the actual dividing line for the area of the figure. For the circle and square, any line through the centroid of the points will divide the figure into halves with equal area. For the triangle, the area bisectors form a deltoid bounded by hyperbolic arcs.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


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