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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데이터 과학 및 ML

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

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.

주요 기능

01Implementation of major projection types: Conformal, Equal-area, and Compromise

02DuckDB-spatial integration for efficient SQL-based projection management

03Natural transformations for mapping between different projection manifolds

04Rigorous distortion analysis using Tissot's indicatrix metrics

052 GitHub stars

06Category theory-based map projection modeling as functors (Sphere to Plane)

사용 사례

01Analyzing angular and area preservation in custom cartographic visualizations

02Performing high-precision coordinate transformations for geospatial data pipelines

03Selecting optimal map projections based on specific regional or global distortion requirements

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi map-projection

For use in Claude.ai and ChatGPT

Download Skill