File:FanoPlane with GeometricAlgebra.svg

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Summary

Description
English: This is an illustration of the Fano plane in 3 forms (e_n, IJKL, and Hodge star Geometric Algebra) with multiplication matrices in both e_n and IJKL format. A complete list of all 480 octonions and their Fano plane and multiplication tables (in two parts) are here and here. (.pdf 80MB each). A description of the Mathematica algorithm with code is here.
Date
Source Own work
Author Jgmoxness
SVG development
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 This diagram was created with Mathematica.

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Captions

This is an illustration of the Fano plane in 3 forms (e_n, IJKL, and Hodge star Geometric Algebra) with multiplication matrices in both e_n and IJKL format

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Date/TimeThumbnailDimensionsUserComment
current01:57, 10 October 2024Thumbnail for version as of 01:57, 10 October 20241,067 × 420 (466 KB)wikimediacommons>Jgmoxnesstighter layout

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