Non-euclidean virtual reality I: explorations of $\mathbb{H}^3$

TL;DR

This paper introduces initial methods for simulating three-dimensional hyperbolic space in virtual reality, enabling immersive exploration of non-euclidean geometries.

Contribution

It presents the first steps towards virtual reality simulations of hyperbolic space, providing accessible tools for experiencing non-euclidean geometries.

Findings

Simulated hyperbolic space is available online for public exploration.

Initial techniques for rendering non-euclidean geometries in VR are demonstrated.

The project opens new avenues for research and education in non-euclidean geometry.

Abstract

We describe our initial explorations in simulating non-euclidean geometries in virtual reality. Our simulations of three-dimensional hyperbolic space are available at http://h3.hypernom.com.