Initial Bilingual Book Codex & Symbolic Engine of Kepler’s Cosmography, Strena & Harmonices

Established geometor-kepler (v0.1.0), uniting a five-unit, four-track bilingual Neo-Latin/English Digital Scriptorium Book Codex with 100% exact SymPy and geometor.model symbolic verifications across Johannes Kepler’s Mysterium Cosmographicum (1596/1621), Strena seu de Nive Sexangula (1611), and Harmonices Mundi Libri V (1619).

Highlights

• Five-Unit 4-Track Bilingual Codex (docsrc/cosmos_and_harmony/): Synchronized English, Latin, Summary, and Notes tracks across Mysterium Cosmographicum, Strena, and Harmonices Mundi Books I, II, and V, accompanied by 9 interactive .euclid-graphic SVG plates.

• 100% Exact Symbolic Kernel (src/geometor/kepler/): Proved Platonic insphere/circumsphere polar-duality ratios over $\mathbb{Q}(\phi)$, analyzed the 14-vertex Rhombic Dodecahedron ($\sqrt{2}:1$) and 32-vertex Rhombic Triacontahedron ($\phi:1$), verified FCC/HCP sphere close-packing density $\frac{\pi}{3\sqrt{2}}$, constructed the Kepler Right Triangle $(1, \sqrt{\phi}, \phi)$ purely by straightedge and compass in Model(..., auto_intersect=False), proved the cubic irreducibility of the regular heptagon ($x^3 + x^2 - 2x - 1 = 0$), enumerated all 11 uniform Archimedean planar tilings from scratch, and verified Kepler’s Third Law $(T_1/T_2)^2 = (a_1/a_2)^3$.