Immersive Visualization of Flat Surfaces Using Ray Marching
Fabian Lander and Diaaeldin Taha

Proceedings of Bridges 2025: Mathematics and the Arts
Pages 191–198
Regular Papers

Abstract

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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