geodesic-manifold

Compute geodesic distances and generate great-circle waypoint routes on Earth.

60|13|Updated Dec 22, 2025
One-click install
npx skills add https://github.com/plurigrid/asi --skill geodesic-manifold
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: geodesic-manifold
Source: https://github.com/plurigrid/asi/tree/main/skills/geodesic-manifold
Command: npx skills add https://github.com/plurigrid/asi --skill geodesic-manifold

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Provides algorithms and concepts for geodesic calculations on spheres, color-based encoding, and basic manifold reasoning.

Core Features & Use Cases

  • Great circle distance: haversine-based calculations.
  • Geodesic colorization: deterministic color assignment along routes.
  • Riemannian geometry basics: metric and connection intuition on S².

Quick Start

Compute a geodesic color route between two points and inspect the color at each waypoint.

Frequently Asked Questions about geodesic-manifold

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate great-circle distances between geographic coordinates?

Great-circle distance uses the haversine formula to compute the shortest path between two points on a sphere. This Skill implements haversine-based calculations for accurate geodesic distances applicable to flight planning, ship routing, and navigation tasks requiring spherical geometry.

What is spherical interpolation and how does it apply to route planning?

Spherical interpolation (slerp) generates waypoints along a geodesic path between two points on Earth's surface. This Skill applies slerp to create great-circle routes with deterministic color coding at each waypoint, enabling visualization and analysis of optimal navigation paths.

Can I assign colors to waypoints along a geodesic route?

Yes. This Skill implements geodesic colorization using seeded, deterministic color assignment and GF(3)-balanced trit mapping along routes. Color-coded waypoints enable route differentiation and spatial encoding for navigation and visualization workflows.

How do I persist and analyze geodesic route data?

This Skill integrates with DuckDB for spatial data persistence and analysis after computing geodesic routes. Store waypoint coordinates, distances, and color assignments in DuckDB tables for downstream querying, filtering, and statistical analysis of navigation paths.

What mathematical foundations underpin geodesic calculations on spheres?

Riemannian geometry on the sphere S² provides the metric and connection intuition for geodesic computations. This Skill applies spherical metric concepts alongside haversine distance and slerp interpolation to enable mathematically sound navigation and routing algorithms.