Geodesic dome with false starts and incorrect estimates. Fuller himself lived in a geodesic dome in Carbondale, Illinois, at the corner of Forest Ave and Cherry St. Fuller thought of residential domes as air-deliverable products manufactured by an aerospace-like industry. Fuller's own dome home still exists, the R. Buckminster Fuller and Anne Hewlett Dome Home, and a group called RBF Dome NFP is attempting to restore the dome and have it registered as a National Historic Landmark. It is on the National Register of Historic Places. In 1986, a patent for a dome construction technique involving polystyrene triangles laminated to reinforced concrete
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.