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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

Images related to w:QuasicrystalsEdit

E8 with Lisi Particle Assignments
 
Petrie Projection
 

E8 embedding
 

E8 embedding with particle labels
 

F4 (outer=Quarks, inner=Bosons/Leptons) w/Triality Edges
 

F4 with particle labels
 

Modified E6 projection showing Fermions in groups w/Boson rings
 

Mathematical representation of the physical Zome model isomorphic (?) to E8.
Hasse diagrams of selected E8 subgroups
 
A7 Hasse
 
F4 Hasse
 
C5 Hasse
 
D5 Hasse
 
E6 Hasse
 
E7 Hasse
 
E8 Hasse
Petrie Projections of the n-Cubes (C3 to C7, E8)
 
3D 4-cube
 
3-cube
 
4-cube
 
5-cube
 
6-cube
 
7-cube
 
E8
Column (Pascal Triangle) Projections of the n-Cubes (C2 to C7, E8)
 
2-cube
 
3-cube
 
4-cube
 
5-cube
 
6-cube
 
7-cube
 
3D E8
Coxeter Plane (Petrie) Projections of D3 to D8
 
D3
 
D4
 
D5
 
D6
 
D7
 
D8 in D7
 
D8
Coxeter Plane Projections
 
G2
 
Cell 24 in D5
 
Cell 24 in E6
 
F4 in E6
 
E6
 
E7
 
E8 in E6
Cell 600 Projections
 
3D
 
Petrie
 
Square
 
Pentagon
 
Hexagon
Cell 120 Projections
 
3D
 
Petrie
 
Orthogonal
 
Pentagon
 
2Pi/3 basis
Other Projections
 
Rectified F4 with Triality
 
Birectified F4
 
Rectified E8 with F4 Triality
 
E8 with 6720 Sqrt(6) edges
 
E8 in D8

Images Dynkin DiagramsEdit

       
       
       

Cell8+Cell16=Cell24

Tesseract

(Left frame orthogonal, Right frame perspective)

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

Penteract
Hexeract
Hepteract
16 Cell
24 Cell
120 Cell
600 Cell

Images of Fano PlanesEdit

Jgmoxness (talk) 02:52, 6 April 2010 (UTC)

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)

E8Petrie.svgEdit

This is nice. Did you draw it with LaTeX/TiKz?

I use Mathematica to code up the E8 Lie Group / Algebra and output the .SVG images directly from that code.
Jgmoxness (talk)
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