Exact Positive Icosahedral Cubature on Fixed Radial Class-I Grids: Quadratic-Field Interoperability, Exact Replay, and Typed Compatibility with Papers I–V

Positive H₃-orbit-constant cubature on fixed Class-I grids for 1 ≤ f ≤ 9. Typed compatibility with Papers I–V is interoperability, not logical dependence. Document version 1.3 is distinct from Zenodo deposit version 1.

The cubature theorem remains independent of Ω₀, SRSD, and the floor map. Global-object language in the Paper VI title and frozen G₆ packaging is historical interoperability wording. Applying SRSD to an admissible numerical object C ∈ ℝᵐ proves only D_s E_s(C) = C. The same identity holds for every admissible numerical object in that domain. That is generic exact representability, not a mathematical connection between cubature and SRSD. G₆ packaging is not a theorem joining the theories. The tuple exists definitionally because unrelated typed objects can always be placed in a tuple. A canonical hash proves equality of a named byte string. Aggregating separate maps into interfaces=PASS is a historical implementation outcome, not current source-map discipline.

DOI: 10.5281/zenodo.22068873 · Zenodo record

Publication: Zenodo preprint. Peer review: not peer reviewed. Published 2026-08-23. Document version 1.3. Zenodo deposit version 1.

Open PDF: /papers/Exact_Positive_Icosahedral_Cubature_Integrated_Preprint_v1.3.pdf. Local mirror on this archive.

Zenodo file download: https://zenodo.org/records/22068873/files/Exact_Positive_Icosahedral_Cubature_Integrated_Preprint_v1.3.pdf?download=1

Research branch: cubature · All source works

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