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A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The rigid triangular elements of the dome distribute stress throughout the structure, making geodesic domes able to withstand very heavy loads for their size.
An ellipsoidal dome is a dome (also see geodesic dome), which has a bottom cross-section which is a circle, but has a cupola whose curve is an ellipse. [1] There are two types of ellipsoidal domes: prolate ellipsoidal domes and oblate ellipsoidal domes. A prolate ellipsoidal dome is derived by rotating an ellipse around the long axis of the ...
Geodesic dome: 1983–1991 162 530 Tacoma Dome: Tacoma, United States Merit Co. Geodesic dome: since 1991 163.4 536 Superior Dome: Marquette, United States State of Michigan/Northern Michigan University: Geodesic dome: Cast iron: 1811–1881 39.0 128.0 Bourse de commerce (previously the Halle aux blés) Paris, France First French Empire ...
The geodesic dome was designed by Thomas C. Howard, the owner of Synergetics, Inc., in Raleigh, North Carolina. Thomas C. Howard designed many other geodesic domes, such as Climatron Conservatory at Missouri Botanical Gardens, the Union Tank Car Company dome (now demolished) in Baton Rouge, LA, and Poliedro de Caracas in Venezuela.
Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .
There are several ways of defining geodesics (Hilbert & Cohn-Vossen 1952, pp. 220–221).A simple definition is as the shortest path between two points on a surface. However, it is frequently more useful to define them as paths with zero geodesic curvature—i.e., the analogue of straight lines on a curved su
Klein quartic with 28 geodesics (marked by 7 colors and 4 patterns). In geometry, a geodesic (/ ˌ dʒ iː. ə ˈ d ɛ s ɪ k,-oʊ-,-ˈ d iː s ɪ k,-z ɪ k /) [1] [2] is a curve representing in some sense the locally [a] shortest [b] path between two points in a surface, or more generally in a Riemannian manifold.
In a geodesic dome with a circular base, the triangular elements align so their edges form great circles. Although not geodesic, a new, elliptical design was patented in 1989; it uses hexagons and pentagons to form a dome with a cross section that is elliptical. Due to its mathematical derivation, this design is called "geotangent". [6]