25 great circles of the spherical octahedron

The 25 great circles can be seen in 3 sets: 12, 9, and 4, each representing edges of a polyhedron projected onto a sphere. Nine great circles represent the edges of a disdyakis dodecahedron, the dual of a truncated cuboctahedron. Four more great circles represent the edges of a cuboctahedron, and the last twelve great circles connect edge-centers of the octahedron to centers of other triangles.

• 31 great circles of the spherical icosahedron

• Edward Popko, Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere, 2012, pp 21–22.
• Vector Equilibrium and its Transformation Pathways

This geometry-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e