The 25 great circles with domains colored by their symmetry positions
Constructionedit
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.
great, circles, spherical, octahedron, geometry, arrangement, great, circles, octahedral, symmetry, first, identified, buckminster, fuller, used, construction, geodesic, domes, great, circles, with, domains, colored, their, symmetry, positionsconstruction, edi. In geometry the 25 great circles of the spherical octahedron is an arrangement of 25 great circles in octahedral symmetry 1 It was first identified by Buckminster Fuller and is used in construction of geodesic domes The 25 great circles with domains colored by their symmetry positionsConstruction editThe 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 See also edit31 great circles of the spherical icosahedronReferences edit Fig 450 11B Edward Popko Divided Spheres Geodesics and the Orderly Subdivision of the Sphere 2012 pp 21 22 1 Vector Equilibrium and its Transformation Pathways nbsp This geometry related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title 25 great circles of the spherical octahedron amp oldid 1144583948, wikipedia, wiki, book, books, library,
