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Hyperbolic groups have a solvable word problem. They are biautomatic and automatic. [9] Indeed, they are strongly geodesically automatic, that is, there is an automatic structure on the group, where the language accepted by the word acceptor is the set of all geodesic words.
Category: Hyperboloid structures. ... Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons;
In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings , or more generally, of an affine transformation .
This page is a list of hyperboloid structures. These were first applied in architecture by Russian engineer Vladimir Shukhov (1853–1939). Shukhov built his first example as a water tower ( hyperbolic shell ) for the 1896 All-Russian Exposition .
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There is a unique column in the Park Güell that is a hyperboloid. The famous Spanish engineer and architect Eduardo Torroja designed a thin-shell water tower in Fedala [5] and the roof of Hipódromo de la Zarzuela [6] in the form of hyperboloid of revolution. Le Corbusier and Félix Candela used hyperboloid structures . [citation needed]
Many hyperbolic lines through point P not intersecting line a in the Beltrami Klein model A hyperbolic triheptagonal tiling in a Beltrami–Klein model projection. In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit ...
Vladimir Grigoryevich Shukhov (Russian: Влади́мир Григо́рьевич Шу́хов; 28 August [O.S. 16 August] 1853 – 2 February 1939) was a Russian and Soviet engineer-polymath, scientist and architect renowned for his pioneering works on new methods of analysis for structural engineering that led to breakthroughs in industrial design of the world's first hyperboloid ...