Spherical hybrids

✍ Scribed by G. G. Hall; D. Rees

• Book ID: 101254757
• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 228 KB
• Volume: 63
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1997)63:1<197::aid-qua21>3.0.co;2-8

✦ Synopsis

A general solution is presented to the problem of finding hybrid functions which point from the center toward the vertices of a regular solid. Results are given for the examples of 6, 8, 12, and 24 vertices. By taking linear combinations with suitable alias functions, the hybrids have been given nodes passing through all vertices except their own. This allows them to be used for interpolation and quadrature. The various functions required are defined as solid harmonics and group theoretical methods of generating these are discussed fully.