The Golden Section, Fibonacci Series and New Hyperbolic Models of Nature
Alexey Stakhov, Boris Rozin (2006)
Visual Mathematics
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Displaying similar documents to “A model of hyperbolic stereometry based on the algebra of quaternions”
The Golden Section, Fibonacci Series and New Hyperbolic Models of Nature
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Annales Polonici Mathematici
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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The hyperbolic Carnot theorem in the Poincaré disc model of hyperbolic geometry.
Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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R. Krasnodębski (1970)
Colloquium Mathematicae
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Boundaries of right-angled hyperbolic buildings
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Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
The theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry
Oğuzhan Demirel (2009)
Commentationes Mathematicae Universitatis Carolinae
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In [Comput. Math. Appl. 41 (2001), 135--147], A. A. Ungar employs the Möbius gyrovector spaces for the introduction of the hyperbolic trigonometry. This Ungar's work plays a major role in translating some theorems from Euclidean geometry to corresponding theorems in hyperbolic geometry. In this paper we explore the theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry.
An example of the absence of a global solution to some inverse problem for a hyperbolic equation.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem.
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Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces
Sergei Buyalo, Viktor Schroeder (2015)
Analysis and Geometry in Metric Spaces
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We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.