Not to be impolite, Pat, but your image is not the image I like for the pentaist toe. The image I like is as follows:
In the cube, the eight small cubes were miniatures exactly like the overall cube. In this picture the eight balls are slightly different than the whole, since each part is inherently a part of the whole (and not exactly like the whole each for themselves). Together, though, the overall large ball shape is also still visible. Forgive me for using the limited programming skills I have in portraying these eight balls; the general idea is to deliver the eight separated balls from the larger (ninth) ball from which the eight originate. As such, they show the decimal system.
Please understand that this is a 2D+ image. I gave up on 3D quite a while ago. 2D+ and 3D are exactly the same in their overall delivery, but 2D+ shows that the overall reality is based on duality, and not on three static parts.
I am interested to learn more about your words: "The
problem with this structure is going to 2 levels of octrees that the cube structure provides." Will you elaborate?
Best to you, Pat.