Can I integrate this with SQL databases?

Yes, the skill includes patterns for DuckDB integration, allowing you to store and query projection suitability and metadata directly using SQL.

What is the benefit of using category theory for maps?

By treating projections as functors, it ensures mathematical consistency when performing natural transformations (morphisms) between different coordinate systems.

What projection types does this skill support?

It provides mathematical frameworks for Conformal (Mercator, Stereographic), Equal-area (Lambert, Albers), and Compromise (Robinson, Winkel Tripel) projections.

How does it analyze map distortion?

It implements Tissot's indicatrix, which computes the meridian scale (h), parallel scale (k), area factor, and angular distortion at any given point on a manifold.

Map Projection & Geodesic Analysis

Name: Map Projection & Geodesic Analysis
Author: plurigrid

byplurigrid

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数据科学与机器学习

Analyzes and implements map projections using category theory and distortion metrics for precise geospatial transformations.

关于

This skill provides a mathematical and computational framework for map projections, treating them as functors between manifolds. It enables developers to select, analyze, and implement coordinate transformations—including Mercator, Lambert Azimuthal, and Stereographic—while quantifying distortion through Tissot's indicatrix. Integrated with DuckDB and a unique GF(3) coloring system for topological coherence, this skill is ideal for advanced cartography, geospatial data science, and managing complex coordinate reference systems within the Claude Code ecosystem.

主要功能

Implementation of major projection types: Conformal, Equal-area, and Compromise
DuckDB-spatial integration for efficient SQL-based projection management
Natural transformations for mapping between different projection manifolds
Rigorous distortion analysis using Tissot's indicatrix metrics
2 GitHub stars
Category theory-based map projection modeling as functors (Sphere to Plane)

使用场景

Analyzing angular and area preservation in custom cartographic visualizations
Performing high-precision coordinate transformations for geospatial data pipelines
Selecting optimal map projections based on specific regional or global distortion requirements

关于

主要功能

Implementation of major projection types: Conformal, Equal-area, and Compromise
DuckDB-spatial integration for efficient SQL-based projection management
Natural transformations for mapping between different projection manifolds
Rigorous distortion analysis using Tissot's indicatrix metrics
2 GitHub stars
Category theory-based map projection modeling as functors (Sphere to Plane)

使用场景

Analyzing angular and area preservation in custom cartographic visualizations
Performing high-precision coordinate transformations for geospatial data pipelines
Selecting optimal map projections based on specific regional or global distortion requirements