Six Dimensional Delaunay Polytopes
The DelaunaySix program provides a comprehensive enumeration of all combinatorial types of Delaunay polytopes in dimension six.
Software Requirements
To run the enumeration, the following software is required:
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Classification Results
The results are categorized by corank and rank. Each category links to Delaunay polytopes related to the Schläfli polytope and those related to cuts (metrics expressed as a sum of cuts).
| Corank / Rank | Related to Schläfli | Related to Cuts |
|---|---|---|
| Corank 1 (Rank 20) | View | View |
| Corank 2 (Rank 19) | View | View |
| Corank 3 (Rank 18) | View | View |
| Corank 4 (Rank 17) | View | View |
| Corank 5 (Rank 16) | View | View |
| Corank 6 (Rank 15) | View | View |
| Corank 7 (Rank 14) | View | View |
| Corank 8 (Rank 13) | View | View |
| Corank 9 (Rank 12) | View | View |
| Corank 10 (Rank 11) | View | View |
| Corank 11 (Rank 10) | View | View |
| Corank 12 (Rank 9) | View | View |
| Corank 13 (Rank 8) | View | View |
| Corank 14 (Rank 7) | View | View |
| Corank 15 (Rank 6) | View | View |
| Corank 16 (Rank 5) | View | View |
| Corank 17 (Rank 4) | View | View |
| Corank 18 (Rank 3) | View | View |
| Corank 19 (Rank 2) | View | View |
| Corank 20 (Rank 1) | View | View |