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.

• Excision Axiom
• Excluded Middle Law
• Excludent
• Excludent Factorization Method
• Exclusive Or
• Exeter Point
• Exhaustion Method
• Existence
• Existential Closure
• Exists
• Exmedian
• Exmedian Point
• Exogenous Variable
• Exotic R4
• Exotic Sphere
• Exp
• Expansion
• Expansive
• Expectation Value
• Experimental Design
• Exploration Problem
• Exponent
• Exponential Digital Invariant
• Exponential Distribution
• Exponential Divisor