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2020 Spherical half-designs of high order
Daniel Hughes, Shayne Waldron
Involve 13(2): 193-203 (2020). DOI: 10.2140/involve.2020.13.193

Abstract

We give some explicit examples of putatively optimal spherical half-designs, i.e., ones for which there is numerical evidence that they are of minimal size. These include a 16-point weighted spherical half-design of order 8 for 3 based on the pentakis dodecahedron. This gives rise to a 32-point weighted spherical 9-design for the sphere.

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Daniel Hughes. Shayne Waldron. "Spherical half-designs of high order." Involve 13 (2) 193 - 203, 2020. https://doi.org/10.2140/involve.2020.13.193

Information

Received: 5 September 2018; Revised: 3 June 2019; Accepted: 4 November 2019; Published: 2020
First available in Project Euclid: 25 June 2020

zbMATH: 07184480
MathSciNet: MR4080490
Digital Object Identifier: 10.2140/involve.2020.13.193

Subjects:
Primary: 05B30, 42C15, 65D30
Secondary: 94A12

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 2 • 2020
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