What is the Map Projection skill for Claude Code?

It is a specialized capability that allows Claude to perform advanced geographic coordinate transformations and analyze map distortion using mathematical frameworks like category theory.

How does it handle distortion analysis?

It uses Tissot's indicatrix to compute meridian scale, parallel scale, area factor, and angular distortion via finite difference Jacobians.

Can I use this skill with my existing spatial databases?

Yes, it includes specific integration patterns for DuckDB to manage projection lookups and categorize spatial data by use case.

Which map projections are supported by this skill?

The skill includes standard implementations for Mercator (conformal), Lambert Azimuthal (equal-area), Stereographic, and compromise projections like Robinson and Winkel Tripel.

What is the significance of the GF(3) Trit in this skill?

The GF(3) Trit (+1) identifies this skill as a 'Generator' in a topological system, responsible for creating new coordinate representations and manifold mappings.

Map Projection & Spatial Topology

Name: Map Projection & Spatial Topology
Author: plurigrid

byplurigrid

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数据科学与机器学习

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.

主要功能

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

使用场景

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

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