Non-euclidean virtual reality II: explorations of $\mathbb{H}^2\times\mathbb{E}$

TL;DR

This paper explores the simulation of non-Euclidean geometries, specifically hyperbolic space combined with Euclidean space, in virtual reality to enable immersive exploration of complex geometries.

Contribution

It introduces a virtual reality simulation of the product of hyperbolic and Euclidean spaces, providing an accessible platform for exploring non-Euclidean geometries.

Findings

Successful implementation of hyperbolic-Euclidean space simulation

Accessible VR platform for non-Euclidean geometry exploration

Initial exploration results demonstrating feasibility

Abstract

We describe our initial explorations in simulating non-euclidean geometries in virtual reality. Our simulation of the product of two-dimensional hyperbolic space with one-dimensional euclidean space is available at http://h2xe.hypernom.com.