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Initial Synthesis of the Knott Mathematical Catalog v0.1.0¶

Established geometor-knott as an exact symbolic GEOMETOR Mathematical Catalog of the Golden Ratio geometry, constructible pentagonal and \(3^\circ\) trigonometry, 3D polyhedral solids, base-\(\Phi\) (“phigit”) numeral systems, Sturmian Golden String morphisms, Zeckendorf representations, Wythoff/Stolarsky interspersion arrays, and Fibonacci–Lucas–\(\pi\) bridges curated by Dr. Ron Knott at the University of Surrey (fib.html).

Key Milestones¶

Implemented exact \(\mathbb{Q}(\sqrt{5})\), \(\mathbb{Q}(\sqrt{\Phi})\), and cyclotomic quadratic-tower verifiers across 6 Collections and 22 Catalog Items (KNOTT-1.1 – KNOTT-6.5) with zero sp.Float atoms.
Documented and machine-verified the exact notation bijection between Dr. Ron Knott’s \((\Phi, \phi)\) convention and SymPy’s sp.GoldenRatio.
Synthesized 22 original interactive .euclid-graphic SVGs with :g: and :eq: prose bindings, structured resources/catalog_manifest.json provenance, and cross-corpus GEOMETOR links.