Selena said:
Unfortunately Gauss proved it's only possible to draw polygons that are multiples of 2 with a compass and straightedge. The trick would be to draw a "flower of life" then trisect it.
When I was young, my mother's cousin wrote a paper on "How to trisect an angle using only a straight-edge and compass." He tried to get it reviewed by mathematicians but I don't believe he was ever successful. At the time, I hadn't hadn't taken enough math courses to understand it; I was probably still in junior high school. Having two engineering degrees, I could probably force my way through it now to disprove it, if only I could find a copy of it!