Polyhedron Flowers

A combination of stuff inspired this--first, in pursuit of a unit sphere, I've failed miserably to find a construct that would fit the requirements of it, but many of the experiments I've worked through in the process have proven interesting in their own right. One such example is the 3D pyramid pattern from my last video post, which I suppose is technically a triangular tetrahedron. Taking Cyrille's law that all poi polygons should be symmetrical with two poi, I've been working out ways of using plane-bending and stalls to achieve this end. Here are a couple results:

First, the triangular tetrahedron from my original video, but rendered now with two hands spinning opposite directions same-time. By having them switch planes by 60 degrees at each vertice from the previous two angles they've moved through, resulting in the tetrahedron having two sides each defined by the movement of each hand. The way one draws out this shape is to the left with each hand's path sketched out in a different color. The biggest issue with this pattern is that you don't end at the same point you started with, so you have to draw the pattern multiple times to get back to your start point.


Next is a cube, or I guess square hexahedron. This one I admit cheats a bit and defines two of its planes only by implication, but it does retain a split-time same direction symmetry and can theoretically can be performed by turning the entire body in 90 degree increments at every other vertex. Unlike the tetrahedron, this does return you to your original position.

So, there you go...I can get each shape with one hand at a time currently, but not with both hands together. Give me time, though ;)