A random bit of inspiration: I picked up a book a lot of friends have recommended to me at the closing sale of the Borders close to where I teach poi in Silver Spring called Quadrivium. It includes chapters on sacred geometry and platonic solids as well as a device that was the 19th century equivalent of the spirograph: the harmonograph. One of the cool things this device did was produce diagrams that strongly resemble both trochoid and weave poi movements--among the nifty diagrams in it was one that is actually a representation of the triangle toroid flower I demoed a few weeks back, but viewed from a different angle. Using that as a guide, I made each of the cross points home to a three-beat weave in both horizontal and vertical axes.