# User talk:Jgmoxness

## Contents

- 1 Welcome
- 2 Images of Klein Quartic and Octonions as they relate to Electron Spherical Harmonic Legendre Functions and their Dual Quark-Gluon Nucleons
- 3 Images of Hasse Diagrams
- 4 Images of Stowe-Janet-Scerri Periodic Table
- 5 Images of E8 (and its subgroups)
- 6 Images related to w:Quasicrystals
- 7 Images Dynkin Diagrams
- 8 Images of Fano Planes
- 9 120-cell projection animation
- 10 E8Petrie.svg

## WelcomeEdit

## Images of Klein Quartic and Octonions as they relate to Electron Spherical Harmonic Legendre Functions and their Dual Quark-Gluon NucleonsEdit

## Images of Hasse DiagramsEdit

## Images of Stowe-Janet-Scerri Periodic TableEdit

## Images of E8 (and its subgroups)Edit

## Edit

w:6-cube (w:Hexeract) using 6D w:orthographic_projection to a 3D w:Perspective_(visual) object (the w:Rhombic_triacontahedron) using the w:Golden ratio in the w:basis_vectors (inner edges removed leaving their vertices).

w:6-cube (w:Hexeract) orthographically projected to 3D using the w:Golden ratio. This is used to understand the aperiodic icosahedral structure of w:Quasicrystals.

240 w:E₈ polytope vertices with 1440 w:6-cube (6D) unit edges and w:Golden ratio basis vectors orthographically projected to 3D.

240 w:E8_(mathematics) vertices projected to 2D using w:5-cube w:Petrie_polygon basis vectors

240 w:E₈ polytope vertices projected to 2D using w:5-cube Petrie basis vectors overlaid on electron diffraction pattern of an icosahedral Zn-Mg-Ho w:Quasicrystal.

## Images Dynkin DiagramsEdit

Cell8+Cell16=Cell24

Tesseract (Left frame orthogonal, Right frame perspective) |
Anaglyph for depth cueing(Red left eye, Cyan right eye) |

Penteract Hexeract | Hepteract |

16 Cell | 24 Cell |

120 Cell | 600 Cell |

## Images of Fano PlanesEdit

## 120-cell projection animationEdit

I like your animation of 120-cell rotation, but the dithering around the edges is distracting and makes it hard to see interior edges. If you still have the source code, maybe you could re-render with antialiasing? Alternately, rendering at higher resolution and then scaling down might achieve the same effect. It could also rotate a bit slower, IMHO, to be more similar to File:120-cell.gif.

Thanks for the awesome math images! --Quantum7 06:55, 16 April 2014 (UTC)