Montreal Biosphere Montreal Biosphere The Biosphere (French: "La Biosphère de Montréal") is a museum dedicated to the environment. It is located at Parc Jean-Drapeau, on Saint Helen's Island in the former pavilion of the United States for the 1967 World Fair, Expo 67 in Montreal, Quebec, Canada. The museum's geodesic dome was designed by Buckminster Fuller. The architect of this geodesic dome was Buckminster Fuller. The building originally formed an enclosed structure of steel and acrylic cells, in diameter and high. It is a Class 1 (icosahedral, as differentiated from Class 2 domes, which are dodecahedral, and Class 3 ones, which are
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