My approach would be to take the Fourier transform of the polar plot, and then simplify to a small number of coefficients. Of course, it will take 2 circuits around the origin to complete the figure. The sides are perhaps a little too flat, which will blow up the number of coefficients required. I guess if you transform [0,4pi) to [0,1) you could use some sort of Cheby polynomial approximation. It would be nice to be able to transform it back to p(x,y)=0, where p is a polynomial in x,y. At 02:56 PM 7/29/2014, Whitfield Diffie wrote:

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Anyone game for an analytic function to approximate Airbnb's new logo?

They should manufacture a paper clip and give it out at trade shows.

Whit

http://www.underconsideration.com/brandnew/archives/airbnb_logo_detail.png