Immersive Visualization of Flat Surfaces Using Ray Marching
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908399567896576 |
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| author | Lander, Fabian Taha, Diaaeldin |
| author_facet | Lander, Fabian Taha, Diaaeldin |
| contents | We present an effective method for visualizing flat surfaces using ray marching. Our approach provides an intuitive way to explore translation surfaces, mirror rooms, unfolded polyhedra, and translation prisms while maintaining computational efficiency. We demonstrate the utility of the method through various examples and provide implementation insights for programmers. Finally, we discuss the use of our visualizations in outreach. We make our simulations and code available online. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07558 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Immersive Visualization of Flat Surfaces Using Ray Marching Lander, Fabian Taha, Diaaeldin Graphics Differential Geometry Dynamical Systems Geometric Topology 68U05, 51M20 I.3.7; I.3.5 We present an effective method for visualizing flat surfaces using ray marching. Our approach provides an intuitive way to explore translation surfaces, mirror rooms, unfolded polyhedra, and translation prisms while maintaining computational efficiency. We demonstrate the utility of the method through various examples and provide implementation insights for programmers. Finally, we discuss the use of our visualizations in outreach. We make our simulations and code available online. |
| title | Immersive Visualization of Flat Surfaces Using Ray Marching |
| topic | Graphics Differential Geometry Dynamical Systems Geometric Topology 68U05, 51M20 I.3.7; I.3.5 |
| url | https://arxiv.org/abs/2506.07558 |