The Creation of Ruled Surfaces in a Hall of Mirrors
Proceedings of Bridges 2025: Mathematics and the Arts
Pages 483–486
Short Papers
Abstract
A two-mirror laser scanner, utilising rotating mirrors to direct a fixed laser, generates a two-degree-of-freedom line set: a two-mirror congruence. This congruence, formed by the rulings of coaxial hyperboloids, enables the creation of diverse ruled surfaces. We present a user-friendly application for interactive mirror manipulation, allowing dynamic animation and custom ruled surface generation.