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
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.