Poincare — a neon hyperbolic tiling

On screen

What Poincare shows

Poincare draws a tiling of the hyperbolic plane inside the Poincaré disc, like the “Circle Limit” prints but in neon: heptagons, pentagons or squares shrinking to infinity toward the rim. The edges are lines of light of constant width, and each tile carries a motif at its own scale.

On every beat a hyperbolic translation slides the whole tiling by exactly one tile, as if you were moving through an infinite curved world; the direction changes on the bar and the tiling changes on the phrase. In a build-up everything speeds up and swirls toward a point on the rim; on the drop the disc turns inside out, centre and rim swap, then the march resumes.