Hermite Constants
N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.
The Hermite constant is defined for Dimension 
as the value
(Le Lionnais 1983). In other words, they are given by
where
is the maximum lattice Packing Density for Hypersphere Packing and 
is theContent of the -Hypersphere. The first few values of 
are 1, 4/3, 2, 4, 8, 64/3, 64, 256,.... Values for larger are not known.For sufficiently large ,
See also Hypersphere Packing, Kissing Number, Sphere Packing
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/hermit/hermit.html Conway, J. H. and Sloane, N. J. A. Sphere Packings, Lattices, and Groups, 2nd ed. New York: Springer-Verlag, p. 20, 1993. Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 38, 1983.
- Helmholtz Differential Equation
- Helmholtz Differential Equation--Bipolar Coordinates
- Helmholtz Differential Equation--Cartesian Coordinates
- Helmholtz Differential Equation--Circular Cylindrical Coordinates
- Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
- Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
- Helmholtz Differential Equation--Conical Coordinates
- Helmholtz Differential Equation--Elliptic Cylindrical Coordinates
- Helmholtz Differential Equation--Oblate Spheroidal Coordinates
- Helmholtz Differential Equation--Parabolic Coordinates
- Helmholtz Differential Equation--Parabolic Cylindrical Coordinates
- Helmholtz Differential Equation Polar Coordinates
- Helmholtz Differential Equation--Prolate Spheroidal Coordinates
- Helmholtz Differential Equation--Spherical Coordinates
- Helmholtz Differential Equation--Spherical Surface
- Helmholtz Differential Equation--Toroidal Coordinates
- Helmholtz's Theorem
- Helson-Szegö Measure
- Hemicylindrical Function
- Hemisphere
- Hemispherical Function
- Hempel's Paradox
- Hendecagon
- Henneberg's Minimal Surface
- Hensel's Lemma