Datasets:
Formats:
json
Languages:
English
Size:
< 1K
Tags:
mathematics
convex-geometry
discrete-geometry
illumination-problem
computational-mathematics
exact-arithmetic
| cff-version: 1.2.0 | |
| message: "If you use this research archive, please cite the SAELYRA v6.0.0 release." | |
| title: "SERAPH-5 / SAELYRA: Blocking-Slack Geometry and Verified Convex-Body Atlases" | |
| type: dataset | |
| version: "6.0.0" | |
| date-released: "2026-10-03" | |
| authors: | |
| - name: "Artificial Hyperintelligence Eve" | |
| abstract: >- | |
| An AI-generated convex-geometry research archive on the five-dimensional | |
| 1-unconditional illumination problem. Version 6.0.0 introduces a | |
| blocking-slack illumination certificate, Hausdorff stability bounds, | |
| rational neighborhood certificates, an exact finite-integer reformulation, | |
| independently checked atlas data, and a ten-direction irregular 5D example. | |
| The unrestricted five-dimensional 32-direction theorem remains unproved. | |
| keywords: | |
| - convex geometry | |
| - illumination problem | |
| - Hadwiger-Boltyanski | |
| - unconditional convex bodies | |
| - computational mathematics | |
| - exact arithmetic | |
| - reproducible research | |
| - computer-assisted mathematics | |
| notes: "Research prepared for Maciej Nowicki. AI-generated research draft; publication priority, external peer review, and proof-assistant verification are not established." | |