Analyzes and implements geographic map projections using category theory and manifold distortion metrics.
This skill provides a mathematically rigorous framework for handling geographic map projections as functors between manifolds. It enables developers to implement complex coordinate transformations—such as Mercator, Lambert Azimuthal, and Stereographic—while performing detailed distortion analysis using Tissot’s indicatrix. By treating projections through the lens of category theory, it ensures consistency across conformal, equal-area, and equidistant transformations, making it an essential tool for cartographic design, GIS development, and spatial data modeling within Claude Code.
Key Features
01Rigorous distortion analysis using Tissot’s indicatrix for scale and area
027 GitHub stars
03Category-theoretic projection functors (Sphere to Plane transformations)
04Pre-built implementations for Mercator, Lambert, and Stereographic projections
05Natural transformations for seamless movement between different coordinate systems
06DuckDB integration for efficient spatial data lookups and management
Use Cases
01Developing custom GIS applications requiring precise control over map distortion
02Automating cartographic design decisions based on specific projection properties
03Mathematical modeling of spherical manifolds and plane representations
