A Non-Euclidean Rendering Engine.

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Hyper is an experimental rendering engine exploring non-Euclidean spaces. It begins with the Poincaré disk model (2D) and evolves into a hybrid 3D system where the X and Y axes are hyperbolic, and Z remains Euclidean. Using ray-casting, the engine renders an infinite hyperbolic maze—an educational and interactive experience designed to visualize non-Euclidean geometry, hyperbolic tilings, and maze algorithms. Concepts are made accessible through animations, simulations, and hands-on exploration.

Examples

Ray-Caster

example.mp4

Poincaré disk model

poincare2D.mp4

Quickstart

Clone the repository

git clone https://github.com/cocosol007/hyper.git
cd hyper

To run the RayCaster, run the command

./gradlew run

To run the 2D Poicaré disk model, run the command

./gradlew run2D --args='poincare'

Documentation

0. Project Setup

• A . How to Run the Project
• B . How to contribute

I. Foundations in Hyperbolic Geometry

• A . Introduction
• B . Poincaré Disk Model
• C . Isometries

II. Tessellations

• A . Introduction to Tessellation
• B . Coordinate System
• C . Implementation

Licence

See all about our license here

Contributors