What is the Ganja Wedge Game skill?

It is a specialized capability for Claude that implements Geometric Algebra game mechanics, allowing developers to build interactive math games and simulations using ganja.js.

It is the algebra for Projective Geometric Algebra in 2D, which uses 2 positive, 0 negative, and 1 zero dimension to handle Euclidean geometry efficiently.

Which algebraic operations are supported?

The skill supports Join (Vee) for points, Meet (Wedge) for lines, Addition for same-grade elements, and Contraction (Dot) for projections.

Is this compatible with other game frameworks?

Yes, it is designed to work with the open-games and unwiring-arena protocols, making it portable across different compositional game environments.

How are gestures mapped to mathematical operations?

Dragging points apart creates a line (Join), dragging lines together creates a point (Meet), and holding a point while dragging a line projects it (Dot).

Ganja Wedge Game

Name: Ganja Wedge Game
Author: plurigrid

byplurigrid

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Game Development

Implements Projective Geometric Algebra game mechanics using ganja.js to map intuitive player gestures to mathematical operations.

This skill facilitates the development of educational and interactive mathematical games by mapping spatial player gestures to complex Geometric Algebra (GA) operations like the Wedge, Vee, and Dot products. By leveraging ganja.js and compositional game theory, it enables developers to create systems where physical manipulation of points and lines translates directly into algebraic constructions. It is specifically designed for building geometry solvers, physics-based puzzles, and interactive educational tools that teach Projective Geometric Algebra (PGA) through direct manipulation.

Key Features

01Provides GF(3) trit mapping for tracking algebraic grade and operation types

02Integrates with open-games and unwiring-arena protocols for compositional game theory

038 GitHub stars

04Includes predefined levels for teaching Geometric Algebra concepts through game progression

05Supports Cl(2,0,1) algebra instances for handling points (bivectors) and lines (vectors)

06Maps 2D gestures like dragging and holding to PGA operations (Join, Meet, Project)

Use Cases

01Developing physics engines based on Projective Geometric Algebra for 2D simulations

02Building interactive geometry education tools and mathematical puzzle games

03Implementing compositional game theory mechanics in tactical or strategy games

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi ganja-wedge-game

For use in Claude.ai and ChatGPT

Download Skill