Construct · 1 fields · 2 citations

leech: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
leech1 CONSTRUCTLeech latticeLEECH · LATTICE Λ24

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Mathematics

a unique, highly symmetric lattice in 24 dimensions giving the densest known lattice packing of equal spheres there.

In mathematics the Leech lattice is a unique, highly symmetric even unimodular lattice in 24-dimensional space, giving the densest known lattice packing of equal spheres in that dimension, in which each sphere touches 196,560 others. It is named after John Leech, who described the packing, and its symmetry group underlies the Conway sporadic simple groups. Leech's Notes on sphere packings introduced the construction, and Conway and Sloane's Sphere packings, lattices and groups is the standard reference. The referent is an abstract lattice, an eponym that collides with the worm and the sail only in spelling.[1][2]

Unit
A 24-dimensional even unimodular lattice and its sphere packing
Recovery means
Not applicable
Measured by
Described by its minimal vector length, kissing number (196,560), determinant, and automorphism group

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Nearby constructs

simple2 fields · 2 citationsjingle · one word, two constructs

References

  1. Leech, J. (1967). Notes on sphere packings. Canadian Journal of Mathematics, 19, 251–267. https://doi.org/10.4153/cjm-1967-017-0
  2. Conway, J. H., & Sloane, N. J. A. (1999). Sphere packings, lattices and groups (3rd ed.). Springer. https://doi.org/10.1007/978-1-4757-6568-7

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