Datasets:
Formats:
json
Languages:
English
Size:
< 1K
Tags:
mathematics
convex-geometry
discrete-geometry
illumination-problem
computational-mathematics
exact-arithmetic
File size: 1,155 Bytes
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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."
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