What is it about?
"Holonomy" allows users to navigate a space, unlike any space they have ever moved in. Based on a different set of mathematical laws, it allows users to travel for infinite distances in virtual reality while only moving within a small physical area, e.g., in their living room.
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Photo by Wesley Pribadi on Unsplash
Why is it important?
Navigation research builds on prior experience. When investigating how someone navigates, you can show them, e.g., a map of a new city, but they have navigated cities before. If you introduce new landmarks, they have navigated via landmarks before. "Holonomy" introduces a whole new space to navigate. This allows researchers to observe how basic navigational skills are developed. Also, mathematics tends to be rather abstract. That holds especially true for mathematical spaces that defy our intuition because they do not align with our day-to-day experiences. The virtual reality experience of "Holonomy" allows users to experience what it is like to live in such a distorted mathematical space, thereby learning its properties.
Read the Original
This page is a summary of: Holonomy: A Virtual Reality Exploration of Hyperbolic Geometry, September 2024, ACM (Association for Computing Machinery),
DOI: 10.1145/3665318.3677149.
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Resources
Demo Video
This is a short demo video on "Holonomy" - A Virtual Environment based on Hyperbolic Space. This video accompanies our publication at the Web3D 2024 conference. In the video, we will walk through the tutorial level of Holonomy and point out some of its underlying features. If you want to know more, please read the Web3D 2024 paper: "Holonomy - A Virtual Environment based on Hyperbolic Space", M. Skrodzki, S. Jochems, J. Rijsdijk, R. Snellenberg, R. Bidarra, Proceedings of the Web3D 2024 conference, ACM. DOI: 10.1145/3665318.3677149. Holonomy is a virtual environment based on the mathematical concept of hyperbolic geometry. Unlike other environments, Holonomy allows users to seamlessly explore an infinite hyperbolic space by physically walking. They use their body as the controller, eliminating the need for teleportation or other artificial VR locomotion methods. The audio track of the video is generated with the AWS "Polly" service.
ArXiv Article Version
Open Access Version of the publication.
Contributors
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