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.