Some constructions of spherical 5-designs

DOI10.1016/0024-3795(95)00101-VzbMath0832.05020WikidataQ128116364 ScholiaQ128116364MaRDI QIDQ1899404

Bruce Reznick

Publication date: 9 October 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

regular icosahedronantipodal pairs of pointsspherical 5-designs

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items

On the number of nodes in \(n\)-dimensional cubature formulae of degree 5 for integrals over the ball ⋮ On lower bounds on the size of designs in compact symmetric spaces of rank 1 ⋮ McLaren's improved snub cube and other new spherical designs in three dimensions ⋮ Remarks on Hilbert identities, isometric embeddings, and invariant cubature ⋮ Definitions for spherical designs ⋮ A method for proving nonexistence of spherical designs of odd strength and odd cardinality ⋮ Polynomial techniques for investigation of spherical designs ⋮ A survey on spherical designs and algebraic combinatorics on spheres

Cites Work

• Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs
• Mean-values and polyharmonic polynomials
• A construction of spherical 2-design
• Averaging sets: A generalization of mean values and spherical designs
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• New spherical 4-designs
• Spherical codes and designs
• Tight spherical designs. I
• Isometric embeddings and geometric designs
• On spherical t-designs in \(R^ 2\).
• McLaren's improved snub cube and other new spherical designs in three dimensions
• The invariant theory of binary forms
• Sums of even powers of real linear forms
• Spherical faraday cage for the case of equal point charges and chebyshev-type quadrature on the sphere
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