Geodesic dome Johnson solids, Archimedean solids, and Catalan solids. These structures may have some faces that are not triangular, being squares or other polygons. In 1975, a dome was constructed at the South Pole, where its resistance to snow and wind loads is important. On October 1, 1982, one of the most famous geodesic domes, Spaceship Earth at Epcot in Walt Disney World Resort in Bay Lake, Florida, just outside of Orlando, Florida, opened. The building and the ride inside of it are named with one of Buckminster Fuller's famous terms, Spaceship Earth, a world view expressing concern over the use of
Solving the geodesic equations Solving the geodesic equations Solving the geodesic equations is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity, that results in obtaining geodesics. Physically, these represent the paths of (usually ideal) particles with no proper acceleration, their motion satisfying the geodesic equations. Because the particles are subject to no proper acceleration, the geodesics generally represent the straightest path between two points in a curved spacetime. On an "n"-dimensional Riemannian manifold formula_1, the geodesic equation written in a coordinate chart with coordinates formula_2 is: where the coordinates "x"("s") are regarded as the coordinates of a