This record presents Paper 044 by Ken Takada / Enumiaze, introducing a layered geometric framework that links a 48-symbol Katakamuna-derived code, the H4 600-cell, E8 root geometry, and a Core64 codon information space associated with D6/SO (12). The paper organizes computational results from katakamunaₕ4e8v14. py into evidence layers: rigorous algebraic or computational identities, statistically or structurally supported correspondences, and exploratory hypotheses. The main results include the construction of a reversible 2D-symbol → 4D H4 → 8D E8 pipeline, the decomposition of E8 roots through H4-related lifts, the interpretation of 48 as a recurring invariant arising from several independent structures, and the identification of Core64 with a 6-dimensional hypercube / 64-codon information space. The paper also examines a Weyl-degeneracy structure and its proposed relationship to biological wobble degeneracy, while carefully distinguishing established mathematical statements from speculative physical and biological interpretations. This work is intended as a reproducible theoretical and computational framework for further investigation into discrete geometry, symbolic encoding, particle-model analogies, and genetic-code structure.
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Ken Takada
Enumiaze
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Takada et al. (Sun,) studied this question.
www.synapsesocial.com/papers/69f04e5b727298f751e724b6 — DOI: https://doi.org/10.5281/zenodo.19781837