Physics

The Miracle Octad Generator (MOG), the Leech Lattice, and the Monster

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This post visualizes the Miracle Octad Generator (MOG) used in the generation of the Steiner octad system related to the binary (ternary) Golay codes. Please see here and here for more information.

For the companion Mathematica Notebook (NB) file, see here. Click the PNG image below for SVG.

MOG Visualizations and code

The Leech lattice is analyzed and visualized below. Please see here for more information.

For the companion Mathematica Notebook (NB) file, see here. Click the PNG image below for SVG.

Leech lattice binary Golay code

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