Papers › Immersive Visualization of Flat Surfaces Using Ray Marching

Immersive Visualization of Flat Surfaces Using Ray Marching

9 Jun 2025arXiv:2506.07558links table onlyarchive 2025-07-28

Fabian Lander, Diaaeldin Taha

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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.

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