# Navigating Higher Dimensional Spaces using Hyperbolic Geometry

arXiv: https://arxiv.org/abs/2110.00327 · HTML: https://mlsanity.com/paper/2110.00327/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Oct 2021.

## Built on by (most cited first, 1 of 1)

- [Accelerating hyperbolic t-SNE](https://mlsanity.com/paper/2401.13708/) (2024)

## Abstract (arXiv)

Higher-dimensional spaces are ubiquitous in applications of mathematics. Yet, as we live in a three-dimensional space, visualizing, say, a four-dimensional space is challenging. We introduce a novel method of interactive visualization of higher-dimensional grids, based on hyperbolic geometry. In our approach, visualized objects are adjacent on the screen if and only if they are in adjacent cells of the grid. Previous attempts do not show the whole higher-dimensional space at once, put close objects in distant parts of the screen, or map multiple locations to the same point on the screen; our solution lacks these disadvantages, making it applicable in data visualization, user interfaces, and game design.