Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

Code: Sl2 Vertplane · 2020

A vertical plane in $\widetilde{\mathrm{SL}(2,\mathbb{R})}$ geometry, fibered over the hyperbolic plane

Raymarching in the universal cover of SL(2,R) showing a vertical plane. The SL2 geometry has a fibered structure over the hyperbolic plane, and vertical planes intersect these fibers in a characteristic way. The scene demonstrates the visual effect of the SL2 metric on flat surfaces. Controls: WASD to rotate, arrow keys to translate.

Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto
Open full-screen ↗ ← All demos