File:FanoPlane with GeometricAlgebra.svg

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.
Source Own work Edit this at Structured Data on Commons
Author
Category:Media lacking author information

|date=2024-10-09 |source=Own work |author=Jgmoxness |permission= |other versions=

|other fields=SVG development

InfoField
 
The SVG code is valid.
 
This diagram was created with Mathematica.
Category:Valid SVG created with Mathematica#FanoPlane%20with%20GeometricAlgebra.svg

}}

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-4.0#FanoPlane%20with%20GeometricAlgebra.svg
Category:Self-published work Category:Media needing categories as of 9 October 2024#FanoPlane%20with%20GeometricAlgebra.svg Category:All media needing categories as of 2024#FanoPlane%20with%20GeometricAlgebra.svg
Category:All media needing categories as of 2024 Category:CC-BY-SA-4.0 Category:Files with no machine-readable author Category:Media lacking author information Category:Media needing categories as of 9 October 2024 Category:Self-published work Category:Valid SVG created with Mathematica