GEOMETOR • model

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Symbolic compass-and-straightedge construction engine for the GEOMETOR ecosystem.

geometor.model is the foundational library for the GEOMETOR initiative. At the core of the module is the Model class, which establishes an exact symbolic field (SymPy) for creating, analyzing, and serializing geometric constructions.

Core Principles

  • Points as Information: Every Point is defined as a pair of exact algebraic SymPy expressions (x, y) rather than floating-point approximations.

  • Lines & Circles as Operations: Each Line ([ A B ]) and Circle (( A B )) is constructed from two existing points.

  • Intersections as Consequences: Whenever a new line or circle is constructed, Model automatically solves for all intersection points with existing primitives, simplifies and deduplicates algebraic coordinates, and records parent ancestry.

  • Structures & Measurements: Segments (/ A B /), Polygons (< A B C >), and Wedges/Angles (< B A C )) attach directly to model points.

Ecosystem Integration

geometor.model powers the symbolic constructions across the entire GEOMETOR platform and coordinates directly with photon-platform/publish:

  • GEOMETOR • explorer: Interactive web workbench, animation timeline, and golden-ratio analyzer over serialized geometor.model JSON files.

  • GEOMETOR • elements: Executable g1.py construction scripts and interactive step-by-step SVG diagrams across the 525-node G-Index.

  • GEOMETOR • etc: Composable triangle-center constructions (model.py and x-NNNNN.json) across four reference triangles in the Encyclopedia of Triangle Centers.

  • PHOTON • publish: Renders geometor.model symbolic indications via :g: and :eq: roles with bidirectional SVG highlighting in the Book Codex theme.

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Indices