This sphere is inspired by the Flower of Life Sphere. The lines are 15 great circles of icosa/dodeca symetry. Divided up as they are, they create three nets, a dodecahedron, and icosahedron and a rhombic triacontahedron. I intend to carve it so that each part goes over and under it’s neighbors, like three inter-woven lattices.

# A work in process

- Post date December 8, 2012
- Post categories In Wood Carvings

- Post author By Adam
- Tags dodecahedron, Flower of Life Sphere, icosahedron, knotwork, rhombic triacontahedron

## 3 Comments

It’s amazing just to the the perfectly sculpted sphere at this stage with just the right amount of human imperfections only visible on closer inspection.

Adam, if I may ask, how do you construct a platonic solid upon the surface of a sphere? Are there some geometric techniques, or is it approximated as best as you can?

Gorgeous work! 🙂

James, if I may answer, you start with the geometric solid(s), then carve the sphere. There is a sphere inside a dodecahedron that exactly touches the center of each 12 pentagonal faces. So you carve a dodeca, mark the face centers, then carve into a sphere that still just barely has those 12 marks on its surface. Then you have 12 points around a sphere in such a layout as that you could connect them to form the edges of a spherical icosahedron. Or you’d start with a geometric icosa, mark the 20 face centers, carve sphere with 20 points marked on it, which could be connected to form a spherical dodeca.

-With the case of this particular carving, I wanted the 12 points, and the 20 points as well as the 30 points which are centered on the 30 edges common to dodeca and icosa. So this carving was a 62-faced polyhedron before it was a sphere. The whole process is not approximated as best I can, it is exactimated as best I can.