What are the navigation applications of this skill?

It is ideal for generating waypoints for flight paths, ship routing, and any application requiring the shortest path between two points on a sphere.

How does it integrate with databases?

The skill provides patterns for using DuckDB's spatial extension to run geodesic queries and store geographic geometry objects directly in SQL.

Can it calculate Riemannian metrics?

Yes, it can generate metric tensors and Christoffel symbols for spherical manifolds, which is useful for advanced physics and geometry simulations.

What is the Geodesic Manifold skill for Claude?

It is a specialized capability that allows Claude to perform high-level mathematics related to spherical geometry, navigation, and differential geometry on Earth's surface.

Does this skill support Earth-specific distance calculations?

Yes, it implements the Haversine formula and great circle calculations specifically for Earth's radius, providing accurate results for navigation and logistics.

Geodesic Manifold Calculations

Name: Geodesic Manifold Calculations
Author: plurigrid

byplurigrid

•

Data Science & ML

Performs advanced geodesic calculations and Riemannian manifold operations for geospatial navigation and spherical geometry.

About

The Geodesic Manifold Skill enables Claude to perform complex spherical geometry calculations, including great circle distances using the Haversine formula, waypoint generation, and Riemannian metric tensor analysis. It integrates with DuckDB's spatial extensions and utilizes GF(3) trit assignments for balanced route generation and path verification. This skill is designed for developers and scientists working on flight navigation, maritime routing, or planetary-scale geospatial modeling, bridging the gap between abstract differential geometry and practical spatial data applications.

Key Features

DuckDB Spatial integration for SQL-based geographic analysis
Great circle distance (Haversine) and waypoint generation
2 GitHub stars
Geodesic path coloring using GF(3) balanced trit systems
Riemannian metric tensor and Christoffel symbol calculations
Advanced manifold modeling using fiber bundle structures

Use Cases

Calculating optimal flight paths and maritime navigation routes
Implementing differential geometry concepts in geospatial data science
Performing complex spatial queries and metric transformations in DuckDB

About

Key Features

DuckDB Spatial integration for SQL-based geographic analysis
Great circle distance (Haversine) and waypoint generation
2 GitHub stars
Geodesic path coloring using GF(3) balanced trit systems
Riemannian metric tensor and Christoffel symbol calculations
Advanced manifold modeling using fiber bundle structures

Use Cases

Calculating optimal flight paths and maritime navigation routes
Implementing differential geometry concepts in geospatial data science
Performing complex spatial queries and metric transformations in DuckDB