Thursday, February 14, 2013

Happy Valentine!



We wish you all a happy Valentine's day with origami hearts and an equation.

Let's make a plot in polar coordinates, of r=|ϕ|p. The angle ϕ goes from π to π,  and p1. Here is the plot, in processing, with ϕ=0 pointing up. Move the mouse to change p!

Mathworld has more equations for hearts, but none of them is as simple as ours. As p=1 gives a nice shape, p can be left out for an even simpler equation.



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