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
Geodesic deviation "geodesic". The "geodesic deviation equation" relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics. In differential geometry, the geodesic deviation equation is more commonly known as the Jacobi equation. To quantify geodesic deviation, one begins by setting up a family of closely spaced geodesics indexed by a continuous variable "s" and parametrized by an affine parameter τ. That is, for each fixed "s", the curve swept out by γ(τ) as τ varies is a geodesic. When considering the geodesic of a massive object, it is often convenient to choose τ to be the object's proper time.