Talk:25 great circles of the spherical octahedron

to add them up a different way
The octahedral group has six twofold rotation axes (one for each pair of opposite edges), four threefold axes (one for each pair of opposite faces of the octahedron), three fourfold axes (one for each pair of opposite faces of the cube), and each of these axes is presumably orthogonal to one of the circles. But that's only 13. What are the normals of the other dozen circles? What have I forgotten? —Tamfang (talk) 23:32, 17 March 2023 (UTC)