This is a related non-4D collection hosted in the same repository for convenience and shared tooling. These models are not part of the 4-polytope category taxonomy; they are strict orthographic zomeable projections of Gosset-family and adjacent D/E root polytopes.
| Source polytope | Source symmetry group | Natural dimension | Zomeable projections | Viewer |
|---|---|---|---|---|
5-orthoplex (2_11) |
D5 | 5 | 3 | 3D viewer -> |
Rectified 5-orthoplex (t1 2_11) |
D5 | 5 | 3 | 3D viewer -> |
5-demicube (1_21) |
D5 | 5 | 3 | 3D viewer -> |
6-orthoplex (3_11) |
D6 | 6 | 6 | 3D viewer -> |
6-demicube (1_31) |
D6 | 6 | 9 | 3D viewer -> |
2_21 |
E6 | 6 | 2 | 3D viewer -> |
1_22 |
E6 | 6 | 2 | 3D viewer -> |
7-orthoplex (4_11) |
D7 | 7 | 5 | 3D viewer -> |
7-demicube (1_41) |
D7 | 7 | 6 | 3D viewer -> |
3_21 |
E7 | 7 | 5 | 3D viewer -> |
2_31 |
E7 | 7 | 5 | 3D viewer -> |
1_32 |
E7 | 7 | 5 | 3D viewer -> |
8-orthoplex (5_11) |
D8 | 8 | 18 | page 1 -> / page 2 -> |
4_21 |
E8 | 8 | 3 | 3D viewer -> |
2_41 |
E8 | 8 | 3 | 3D viewer -> |
1_42 |
E8 | 8 | 3 | 3D viewer -> |
9-orthoplex (6_11) |
D9 | 9 | 8 | page 1 -> / page 2 -> |
10-orthoplex (7_11) |
D10 | 10 | 9 | page 1 -> / page 2 -> |
10-demicube (1_71) |
D10 | 10 | 15 | page 1 -> / page 2 -> |
All 113 labelled models are available in this folder tree:
The ball counts on the viewer page count distinct 3D ball positions after projection, not vertices of the original higher-dimensional source polytope.
The listed counts are bounded numerical search results. Follow-up higher-bound checks have not produced additional distinct published models for the completed families, but—as elsewhere in this repository—this is empirical saturation rather than a formal proof.
For implementation details, including the exact search bounds and family-by-family
audit notes, see
GOSSET_PROJECTIONS.md for the sweep method and
symmetry audit.