Coxeter-Todd Lattice

The complex Lattice corresponding to real lattice having the densestHypersphere Packing (Kissing Number) in 12-D. The associated Automorphism Group wasdiscovered by Mitchell (1914). The order of is given by

References

Conway, J. H. and Sloane, N. J. A. ``The Coxeter-Todd Lattice, the Mitchell Group and Related Sphere Packings.'' Math. Proc. Camb. Phil. Soc. 93, 421-440, 1983.

Conway, J. H. and Sloane, N. J. A. ``The 12-Dimensional Coxeter-Todd Lattice .'' §4.9 in Sphere Packings, Lattices, and Groups, 2nd ed. New York: Springer-Verlag, pp. 127-129, 1993.

Coxeter, H. S. M. and Todd, J. A. ``As Extreme Duodenary Form.'' Canad. J. Math. 5, 384-392, 1953.

Mitchell, H. H. ``Determination of All Primitive Collineation Groups in More than Four Variables.'' Amer. J. Math. 36, 1-12, 1914.

Todd, J. A. ``The Characters of a Collineation Group in Five Dimensions.'' Proc. Roy. Soc. London Ser. A 200, 320-336, 1950.

• Beta Distribution
• Beta Function
• Beta Function (Exponential)
• Beta Prime Distribution
• Bethe Lattice
• Betrothed Numbers
• Betti Group
• Betti Number
• Bezout Numbers
• Bezout's Theorem
• Bhargava's Theorem
• Bhaskara-Brouckner Algorithm
• Bianchi Identities
• Bianchi Identities (Contracted)
• Biased
• Bias (Estimator)
• Bias (Series)
• Biaugmented Pentagonal Prism
• Biaugmented Triangular Prism
• Biaugmented Truncated Cube
• BIBD
• Bicentric Polygon
• Bicentric Quadrilateral
• Bichromatic Graph
• Bicollared