How does the GF(3) trit assignment work?

It uses a ternary logic system (-1, 0, +1) to categorize operations into Validators, Ergodic transforms, and Generators, ensuring computational balance and topological coherence.

Does it support complex differential geometry?

Yes, it provides functions for computing Riemannian metric tensors and Christoffel symbols, facilitating advanced mathematical analysis of spherical manifolds.

Can I use this skill with SQL databases?

Yes, the skill includes specific integrations for DuckDB Spatial, allowing you to perform geodesic calculations directly within SQL queries.

What is the Geodesic Manifold skill used for?

It is primarily used for calculating the shortest paths (geodesics) on curved surfaces, specifically Earth, which is essential for navigation, aviation, and maritime routing.

Geodesic Manifold

Name: Geodesic Manifold
Author: plurigrid

byplurigrid

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Data Science & ML

Computes shortest paths on spherical surfaces and Riemannian manifolds for navigation, aviation routing, and spatial analysis.

The Geodesic Manifold skill provides advanced mathematical capabilities for calculating great circle distances, generating interpolated waypoints, and analyzing Riemannian metrics on spherical surfaces. It integrates with DuckDB's spatial extensions and follows GF(3) trit assignments for balanced compositional logic, making it ideal for aviation routing, maritime navigation, and theoretical geometry applications where precision on non-Euclidean surfaces is required within the Claude Code environment.

Key Features

01Haversine distance calculations for accurate Earth-surface measurements

02Riemannian metric tensor and Christoffel symbol computation for manifold analysis

03Spherical linear interpolation (Slerp) for generating colored geodesic waypoints

04GF(3) balanced coloring and trit assignment for topological consistency

05DuckDB Spatial integration for high-performance SQL-based geospatial queries

068 GitHub stars

Use Cases

01Calculating optimal flight paths and maritime shipping routes across global coordinates

02Performing advanced geospatial data analysis using SQL and spatial extensions

03Simulating movement and distance on curved manifolds in scientific research applications

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi geodesic-manifold

For use in Claude.ai and ChatGPT

Download Skill