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Lemniscate. The curve generation of a lemniscate is quite attractive. You can generate a lamniscate curve by drawing a circle, selecting a point a distance of the radius times the square root of 2 from the center, then drawing a line from this external point to all points on the circle, and use the circle chord distance as the distance from the external point to the lemniscate intercept.
View the Java source code used to create this simulation.
