TOPICS
is a spherical 
-design in 
iff it is possible to exactly determine
the average value on 
of any polynomial 
of degree at most 
by sampling 
at the points of 
. In other words,
 |
Spherical 
-designs
give the placement of 
points on a sphere for use in numerical integration with equal weights.
-Designs." Ch. 44 in CRC
Handbook of Combinatorial Designs. Boca Raton, FL: CRC Press, pp. 462-466,
1996.Hardin, R. H. and Sloane, N. J. A. S. "McLaren's
Improved Snub Cube and Other New Spherical Designs in Three Dimensions." Disc.
Comput. Geom. 15, 429-331, 1996.Hardin, R. H.; Sloane,
N. J. A. S.; and Smith, W. D. Spherical Codes. In preparation.
http://www.research.att.com/~njas/sphdesigns/.McLaren,
A. D. "Optimal Numerical Integration on a Sphere." Math. Comput. 17,
361-383, 1963.Weisstein, Eric W. "Spherical Design." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SphericalDesign.html