Geodesic dome "transmigration" method is based so specifically on dome design that only fixed numbers of people can take part in the process at each deliberation stage. Many geodesic domes are among the largest clear-span structures in the world. According to the Buckminster Fuller Institute in 2010, the world's 10 largest geodesic domes by diameter are: One other large dome in Venezuela was missed on the original Fuller Institute list, while two others built later are also now in the top 10. Currently, several geodesic domes are larger than 113 m in diameter. Geodesic dome A geodesic dome is a hemispherical thin-shell
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