Spaces of stresses, projections and parallel drawings for spherical polyhedra.

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.

On deformations of spherical isometric foldings

Ana M. Breda, Altino F. Santos (2010)

Czechoslovak Mathematical Journal

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The behavior of special classes of isometric foldings of the Riemannian sphere $S^{2}$ 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 $f_{s}$ defined by $f_{s} (x, y, z) = (x, y, | z |)$ .

Generating solids by sweeping polyhedra.

Elsonbaty, Ahmed, Stachel, Hellmuth (1997)

Journal for Geometry and Graphics

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Modeling and Simulation of a Spherical Mobile Robot

SANG Shengju, ZHAO Jichao, WU Hao, CHEN Shoujun, AN Qi (2010)

Computer Science and Information Systems

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Visualization Vs. Verbalization Insight into the Morphology of Polyhedra

Irit Wertheim, Nitsa Movshovitz-Hadar (2003)

Visual Mathematics

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Covering large balls with convex sets in spherical space.

Bezdek, Károly, Schneider, Rolf (2010)

Beiträge zur Algebra und Geometrie

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Some New Tilings of the Sphere with Congruent Triangles

Robert J. MacG Dawson (2006)

Visual Mathematics

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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....