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PreprintCC BY 4.0Zenodo

No Results for "Second Cuboid Polynomial" Perfect Cuboid Query (arXiv 2025) — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

FINDING: Search returned no relevant results — the query "second cuboid polynomial Q_{p,q}(t) perfect cuboid arXiv 2025" matched zero substantive sources; all hits are unrelated (grade-school binomial expansions, O-Level cuboid geometry, B-Factory/ATLAS detector physics papers).

MATH: No equations, constants, or ratios extracted. The Perfect Cuboid Problem is defined by the Diophantine system: a² + b² = d², a² + c² = e², b² + c² = f², a² + b² + c² = g² (three face diagonals + space diagonal all integers). No solution known; none proven impossible. No polynomial Q_{p,q}(t) appears in any retrieved source.

CONNECTION: None supported by evidence. The Perfect Cuboid is a lattice/rational-point problem (integer points on a quadric intersection in ℤ⁴), so it is structurally adjacent to crystallographic lattice and root-system questions — but no retrieved source establishes any link to 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or named root systems. Asserting such a link would be speculat

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026results,
  title = {{No Results for "Second Cuboid Polynomial" Perfect Cuboid Query (arXiv 2025) — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23658905},
  url = {https://zenodo.org/records/23658905},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - No Results for "Second Cuboid Polynomial" Perfect Cuboid Query (arXiv 2025) — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23658905
UR  - https://zenodo.org/records/23658905
AB  - FINDING: Search returned no relevant results — the query "second cuboid polynomial Q_{p,q}(t) perfect cuboid arXiv 2025" matched zero substantive sources; all hits are unrelated (grade-school binomial expansions, O-Level cuboid geometry, B-Factory/ATLAS detector physics papers).  MATH: No equations, constants, or ratios extracted. The Perfect Cuboid Problem is defined by the Diophantine system: a² + b² = d², a² + c² = e², b² + c² = f², a² + b² + c² = g² (three face diagonals + space diagonal all integers). No solution known; none proven impossible. No polynomial Q_{p,q}(t) appears in any retrieved source.  CONNECTION: None supported by evidence. The Perfect Cuboid is a lattice/rational-point problem (integer points on a quadric intersection in ℤ⁴), so it is structurally adjacent to crystallographic lattice and root-system questions — but no retrieved source establishes any link to 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or named root systems. Asserting such a link would be speculat  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -