17-sides. Wow. As you might seem unbelievible, it is constructable with compass and an unmarked straight edge. For the mathematical reason that proves that, look at the beginning of the next article. Mathematicians spend lots of time proving "mathematical facts" no matter how obscure or minute. Without that mathematically accurate proof, a fact is not a "fact", but an assumption in math. It cannot be used in the proof of any other fact.
That being said, I make the statement about the heptadecagon's constructiblity, mention the existance of the proof, and continue on without showing how to complete a construction with the two tools. Here I just copied a picture from Wikipedia as good as I could with the electronic tablet I had. I built what I called a heptadecagon swirl. As I apologize for, my artwork was far from convincing of what it was to portray. The center of the figure should BE the center. However, the thickness of lines and slight deviations of the lines from the precise angles needed make this graphic far from perfect. Anyway I hope it gives a flurry of color to the viewer and maybe a desire to see some improvement.
[Incidentally the link at the bottom of the next article produces the same graphic as you see below.]
Here is the heptadecagon swirl.
