Some New Tilings of the Sphere with Congruent Triangles
Robert J. MacG Dawson (2006)
Visual Mathematics
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Displaying similar documents to “Geometric and combinatorial structure of a class of spherical folding tessellations – I”
Some New Tilings of the Sphere with Congruent Triangles
Enumeration of 2-isohedral tilings on the sphere
Elizaveta Zamorzaeva (2004)
Visual Mathematics
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Dihedral f-tilings of the sphere by equilateral and scalene triangles-I
A. M. D'Azevedo Breda, Patrícia S. Ribeiro, Altino F. Santos (2010)
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Alexandrov, Victor (1997)
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Tilings of the sphere with right triangles. III: The asymptotically obtuse families.
Dawson, Robert J.Macg., Doyle, Blair (2007)
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On deformations of spherical isometric foldings
Ana M. Breda, Altino F. Santos (2010)
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The behavior of special classes of isometric foldings of the Riemannian sphere under the action of angular conformal deformations is considered. It is shown that within these classes any isometric folding is continuously deformable into the spherical isometric folding defined by .
On the five-point theorems due to Lappan
Yan Xu (2011)
Annales Polonici Mathematici
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By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.
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Some Facts about Trigonometry and Euclidean Geometry
Roland Coghetto (2014)
Formalized Mathematics
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We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by...
Asymptotic spherical analysis on the Heisenberg group
Jacques Faraut (2010)
Colloquium Mathematicae
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The asymptotics of spherical functions for large dimensions are related to spherical functions for Olshanski spherical pairs. In this paper we consider inductive limits of Gelfand pairs associated to the Heisenberg group. The group K = U(n) × U(p) acts multiplicity free on 𝓟(V), the space of polynomials on V = M(n,p;ℂ), the space of n × p complex matrices. The group K acts also on the Heisenberg group H = V × ℝ. By a result of Carcano, the pair (G,K) with G = K ⋉ H is a Gelfand pair....