User:Jgmoxness
[1]jgmoxness or Special:Emailuser/Jgmoxness
See also:
Images of Klein Quartic and Octonions as they relate to Electron Spherical Harmonic Legendre Functions and their Dual Quark-Gluon Nucleons[edit]
- Klein Quartic Curves
Images of Hasse Diagrams[edit]
- Hasse Diagrams
F4 Hasse
E6 Hasse
E7 Hasse
E8 Hasse
Images of Stowe-Janet-Scerri Periodic Table[edit]
- Stowe-Janet-Scerri Periodic Table organized by the Psi{n,l,+/-m} and +/-s quantum number symmetries and includes cutaway views of the spherical harmonics of the 3D orbital electron cloud probabilities.
Images of E8 (and its subgroups)[edit]
- E8 (and Subgroups) Visual Catalog of Regular Symmetries with Projections to 2D and 3D
2D Polygons
3D Platonic Solids
4D Polychora
5D Polytopes
6D Polytopes
7D Polytopes
8D Polytopes
[edit]
- E8_(mathematics) and Quasicrystals
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.
| 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 Diagrams[edit]
- Assorted Dynkin Diagrams
Rank 3 Compact Hyperbolic Dynkin Diagrams (1-5 of 238)
Rank 3 Compact Hyperbolic Dynkin Diagrams (6-10 of 238)
Finite Dynkin Diagrams
Affine Loop Dynkin Diagrams
Hyperbolic and very extended affine Dynkin Diagrams
Folding Dynkin Diagrams
Folding Dynkin Diagrams
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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 Planes[edit]
- Fano Planes.
