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Area Bisectors via Monte Carlo


	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

Polygon Area (Wolfram MathWorld)

Geometric Centroid (Wolfram MathWorld)

Monte Carlo Method (Wolfram MathWorld)

"Area Bisectors via Monte Carlo" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AreaBisectorsViaMonteCarlo/

Contributed by: Ed Pegg Jr

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