Paper IV
Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients
Newman, Matthew Alan (2026-08-20). ORCID 0009-0007-5468-3125.
Every complete radial Class-I grid is a spherical five-design. The limiting equal-weight sampling measure differs from uniform spherical area first at harmonic degree six. Paper IV also gives finite-frequency computations and an asymptotic expansion for the degree-six moment.
Paper IV Draft 5 is an internal unpublished iteration. The source paper is the Zenodo deposit 10.5281/zenodo.22033917; the deposited PDF filename contains a working-draft label draft 8.
DOI: 10.5281/zenodo.22033917 · Zenodo record
Publication: Zenodo preprint. Peer review: not peer reviewed. Published 2026-08-20. Zenodo deposit version 1.
Zenodo deposit v1. Preprint; not peer reviewed. The deposited PDF filename contains a working-draft label draft 8. Paper IV Draft 5 is an internal unpublished iteration and is not the source paper.
Open PDF: https://zenodo.org/records/22033917/files/A_SUB%20paper%20IV%20draft%208%20.pdf?download=1. Unique Zenodo PDF for this work.
Bundled local copy of Papers I–V: Global_Mathematical_Object_Papers_I-V_v1.0.pdf. Historical provenance bundle; bytes preserved; served noindex, noarchive. The canonical deposit remains the unique Zenodo record, not this bundle. The filename preserves historical “Global Mathematical Object” packaging and does not define current mathematical dependence.
Research branch: cubature · All source works
The archive makes no blanket claim of novelty, priority, peer review, or independent validation. Some displayed identities are standard or definitional and are included to make the computational specification self-contained. Any claim of originality must concern a specifically stated formulation or derived result and must be evaluated separately against the relevant prior literature.
Cite this work
@misc{newman2026omega-iv,
author = {Newman, Matthew Alan},
title = {Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients},
year = {2026},
date = {2026-08-20},
doi = {10.5281/zenodo.22033917},
url = {https://zenodo.org/records/22033917},
note = {Zenodo deposit v1. Preprint; not peer reviewed. The deposited PDF filename contains a working-draft label draft 8. Paper IV Draft 5 is an internal unpublished iteration and is not the source paper.}
}Complete BibTeX · CITATION.cff
Claims on this archive that cite this paper
- Equal-weight harmonic obstruction — theorem claim