Holonomy: A Virtual Reality Exploration of Hyperbolic Geometry
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916386290270208 |
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| author | Skrodzki, Martin Jochems, Scott Rijsdijk, Joris Snellenberg, Ravi Bidarra, Rafael |
| author_facet | Skrodzki, Martin Jochems, Scott Rijsdijk, Joris Snellenberg, Ravi Bidarra, Rafael |
| contents | 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. This paper discusses the development of HOLONOMY, highlighting the technical challenges faced and overcome during its creation, including rendering complex hyperbolic environments, populating the space with objects, and implementing algorithms for finding shortest paths in the underlying non-Euclidean geometry. Furthermore, we present a proof-of-concept implementation in the form of a VR navigation game and some preliminary learning outcomes from this implementation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05460 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holonomy: A Virtual Reality Exploration of Hyperbolic Geometry Skrodzki, Martin Jochems, Scott Rijsdijk, Joris Snellenberg, Ravi Bidarra, Rafael Graphics Human-Computer Interaction 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. This paper discusses the development of HOLONOMY, highlighting the technical challenges faced and overcome during its creation, including rendering complex hyperbolic environments, populating the space with objects, and implementing algorithms for finding shortest paths in the underlying non-Euclidean geometry. Furthermore, we present a proof-of-concept implementation in the form of a VR navigation game and some preliminary learning outcomes from this implementation. |
| title | Holonomy: A Virtual Reality Exploration of Hyperbolic Geometry |
| topic | Graphics Human-Computer Interaction |
| url | https://arxiv.org/abs/2409.05460 |