ASM Headquarters and Geodesic Dome the American Society for Metals in September 1959, the geodesic dome was built on a 100-acre parcel donated by William Hunt Eisenman (1886–1958), a charter member of the American Society of Metals and its secretary for nearly four decades. In 1961, ASM purchased William Hunt Eisenman's Sunnimoor Farm and 400-acres of land adjacent to the ASM campus. The complex was designed by John Terrence Kelly, a native of Elyria, Ohio. There are differing opinions on R. Buckminster Fuller's role in the design of ASM's dome. While Fuller was a founding partner of Synergetics, Inc. and a patent holder for geodesic
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