OMEGA Paper VII v1.6 companion files

Canonical source: Zenodo record 22233573
DOI: https://doi.org/10.5281/zenodo.22233573
Concept DOI: https://doi.org/10.5281/zenodo.22233572

OMEGA_Paper_VII_v1.6.0.pdf
  Construction-to-curve theorem for a one-arcsecond circular seed with
  bilateral golden extensions. Hosted locally as a mirror of the Zenodo file.

OMEGA_Paper_VII_v1.6.0_publication_ready_package.zip
  Complete publication-ready package: LaTeX, figures, generator, JSON/OBJ
  exports, verify_geometry.py, licenses, and RELEASE.json.

omega_reference_geometry.py
  Current (v1.6.0) reference generator. Scale, translation, and XYZ rotation;
  exports JSON and a sampled OBJ polyline. Landmark coordinates are direct
  evaluations of the closed formulas.

OMEGA_local_kernel_v1_6_0.json / .obj
  Canonical unit-scale landmarks, signed bearings, Gram factorization fields,
  and a sampled circular polyline. Schema OMEGA_MARKED_REFERENCE_GEOMETRY/1.2.

verify_geometry.py
  Eight numerical conformance groups against the closed formulas. Requires
  NumPy. Not a theorem checker. Expects generated/JSON and OBJ beside the
  script, matching the publication package layout. Generator defaults write
  JSON/OBJ into the current working directory; those CWD files are not the
  published pair. Independent generation should use --json/--obj into a
  separate regenerated/ directory.

omega_kernel_oriented_r3.jl
  Unit-scale binary64 materialization: major arc, golden feet, six landmarks,
  complete 15-pair center-angular fan, Gram factorization, and the adopted
  outer scaffold. Reconstruction and numerical check, not a theorem checker.
  LinearAlgebra and Printf are sufficient for the numerical reconstruction.
  Plots is an optional visualization in a separate environment, not a
  proof-companion dependency.

omega_local_geometric_object.jl
  Pedagogical Float64 printout of the same Paper VII formula and of the
  arc-and-feet curve Γ = major arc ∪ E₋ ∪ E₊. Not a new source paper and
  not a theorem checker. This-archive Julia 1.11.6 stdout is beside it.

omega_local_geometric_object.diagram.jpg
  Teaching diagram of the arc-and-feet object (major arc, two feet, marks
  on y = −ac, dashed seed chord omitted from Γ).

omega_local_geometric_object.frame.jpg
  Generated coordinate overlay. Useful as a sketch of (u,v,w) and of the
  baseline y = −ac. Do not use its inset numerals (they are not ε = 1″)
  or the ρ₂ label that drops φ. Canonical formulas are in the Julia file.

Superseded local drafts remain on this host:
  OMEGA_Paper_VII_v1.4.pdf, v1.2, and v1.1 (noindex, noarchive).
  OMEGA_local_kernel_v1_4.json / .obj and omega_reference_geometry_v1_4.py.
