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leaf.gif

  • mathematics
  • math
  • polar curves

Translated from Russian. Originally published on Aug 23, 2007 as “leaf.gif”.

I am not, in principle, a fan of this — undoubtedly remarkable — plant. But… a thing like this is very easy to draw. All it takes is switching to polar coordinates and plotting the following curve:

r(a)=(1+sin⁡a) (1+0.9cos⁡8a) (1+0.1cos⁡24a) (4−sin⁡80a)r(a) = (1 + \sin a)\,(1 + 0.9\cos 8a)\,(1 + 0.1\cos 24a)\,(4 - \sin 80a)