R. Buckminster Fuller and Anne Hewlett Dome Home R. Buckminster Fuller and Anne Hewlett Dome Home The R. Buckminster Fuller and Anne Hewlett Dome Home, located at 407 S. Forest Ave. in Carbondale, Illinois, is a geodesic dome house which was the residence of Buckminster Fuller from 1960 to 1971. The house, inhabited by Fuller while he taught at Southern Illinois University, was the only geodesic dome Fuller lived in as well as the only property he ever owned. Fuller, a prolific architect and engineer, popularized the geodesic dome as a building design, and his house was one of the first geodesic dome residences to be constructed. The
Solving the geodesic equations curve γ("s") in formula_1 and formula_5 are the Christoffel symbols. The Christoffel symbols are functions of the metric and are given by: where the comma indicates a partial derivative with respect to the coordinates: As the manifold has dimension formula_8, the geodesic equations are a system of formula_8 ordinary differential equations for the formula_8 coordinate variables. Thus, allied with initial conditions, the system can, according to the Picard–Lindelöf theorem, be solved. One can also use a Lagrangian approach to the problem: defining and applying the Euler–Lagrange equation. As the laws of physics can be written in any coordinate system, it