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Flower-Like Polar Plots

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Changing the coefficient inside a polar plot of a simple sine function gives a wide range of flower-like patterns.

Contributed by: Christopher Wolfram (March 2011)
Open content licensed under CC BY-NC-SA

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The idea for this Demonstration has been rediscovered many times. The first known discovery was in the 1720s, when Italian mathematician Guido Grandi called a class of polar equations "rhodonea" because they looked like flowers. The objects in this Demonstration are often now called "roses."

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