I hope that worked! Too bad there’s no preview here. ]]>

Then draw the Sun orbiting the Earth in a circle of radius 1, and draw Venus orbiting the moving Sun in a circle of radius 0.723, making sure that Venus takes 0.616 times as long to go around the Sun as it takes for the Sun to go around the Earth. This is more or less what Greg Egan did, though he adjusted the number 0.616 to make it equal 5/8 = 0.625. This makes the pattern simpler and more beautiful, though not astronomically accurate.

]]>http://arxiv.org/abs/1504.03661 ]]>

I will also fix the original post so that it says has 136 vertices. Not everybody reads the comments to find errors!

]]>You’re right, I should have said 136 vertices in the original post…

In order to get the subscripts right on this blog, you can write P_{17} instead of P_17. The 7’s in cullina’s second comment all belong to the subscript.

]]>