\section*{Author contributions and AI disclosure}
\noindent\textbf{Author contributions.}
Elleard Felix Webster Heffern conceived and directed the project. His
contributions were: the precise catenary construction and descent algorithm;
viewing two-dimensional descent outputs over a two-dimensional input
landscape; the project's first identification of Meridians, phasors and
corridors; formulation of the indexing system; the precise Fibonacci-matrix
and six-piece snake-graph analytical approaches; proposals to compare
features along Meridians using different moduli; the proposed proportionality
between logarithmic growth and degree; the observation suggesting a finite
collision zone; and the proposal to organize computational verification
by scale, using Meridian helms to understand starting locations and
degrees to understand logarithmic spacing. This last insight guided the
band organization; the production implementation uses certified bounds
on groups of Farey addresses.

\medskip
\noindent\textbf{AI assistance.}
ChatGPT (OpenAI) supplied the remaining substantial mathematical,
computational and editorial development within this author-directed
framework: detailed derivations and proof construction, examples and
counterexamples, algorithm and verifier implementation, checking routines,
computational analysis, figures, literature assistance, and manuscript
organization, drafting and revision. Earlier geometric-descent work also
used Claude (Anthropic). This assistance included substantive mathematics
and code. These contribution statements concern the development of this
project; established results and earlier constructions retain their cited
attributions. The author retains responsibility for checking the arguments,
computations and references and for approving the final manuscript.