Pioneer Center for the Performing Arts Pioneer Center for the Performing Arts The Pioneer Center for the Performing Arts (originally known as Pioneer Theater Auditorium) is a theater located in Reno, Nevada. It was designed by the Oklahoma City architectural firm of Bozalis, Dickinson and Roloff as a concrete structure with a distinctive gold geodesic dome roof. The facility was completed in 1967 with 987 seats on the main level and 513 seats in a balcony, totaling to 1,500. The co-founder of Temcor, the project's contractor, was Don Richter, a student of Buckminster Fuller, developer of the geodesic dome concept. Temcor had built several gold-anodized aluminum
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