Some New Tilings of the Sphere with Congruent Triangles
Robert J. MacG Dawson (2006)
Visual Mathematics
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Robert J. MacG Dawson (2006)
Visual Mathematics
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Catarina P. Avelino, Altino F. Santos (2017)
Czechoslovak Mathematical Journal
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A classification of dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent four papers by Avelino and Santos (2012, 2013, 2014 and 2015). In this paper we extend this classification, presenting all dihedral folding tessellations of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle. Within two possible cases of adjacency, only one...
Alexandrov, Victor (1997)
Beiträge zur Algebra und Geometrie
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Crapo, Henry, Whiteley, Walter (1994)
Beiträge zur Algebra und Geometrie
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William Chauvenet
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John Hymers
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Avelino, Catarina P., Breda, A.M.d'Azevedo, Santos, Altino F. (2010)
Beiträge zur Algebra und Geometrie
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Charney, Ruth, Lytchak, Alexander (2001)
Geometry & Topology
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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....
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.
Breda, Ana M., Santos, Altino F. (2005)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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SANG Shengju, ZHAO Jichao, WU Hao, CHEN Shoujun, AN Qi (2010)
Computer Science and Information Systems
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