31 great circles of the spherical icosahedron

The 31 great circles can be seen as the union of edges in 3 polyhedra. The lower right image shows 15 red circles, 10 green circles, and 6 blue circles.

In geometry, the 31 great circles of the spherical icosahedron is an arrangement of 31 great circles in icosahedral symmetry.[1] It was first identified by Buckminster Fuller and is used in construction of geodesic domes.

  1. ^ "Fig. 457.40 Definition of Spherical Polyhedra in 31-Great-Circle Icosahedron System" (PDF). rwgrayprojects.