Hyperbolic Bloom

A meditative descent into the visionary “hyperbolic hyperspace”: a {7,3} tiling rendered on the Poincaré disk, where space stops being flat and becomes negatively curved — saddle sheets and jeweled heptagons streaming out toward the rim forever, never running out.

tap to begin · a generative drone plays with no permissions · ~5 min, non-looping

Read the design notes

Each pixel is mapped to a complex point z in the Poincaré unit disk, dragged backward along a hyperbolic geodesic by an inverse Möbius transform (the endless “fall”), then folded into one cell of a {7,3} tiling by alternating seven-fold mirror reflections with circle inversions in a circle orthogonal to the disk. Fold count drives a jeweled cosine palette with thin-film iridescence and chromatic aberration.

Phenomenology, not medicine. Inspired by the hyperbolic geometry of the visionary state, Bressloff–Cowan cortical form-constants, and Escher’s Circle Limit prints. The {7,3} fold is an honest approximation — see README.md.

The dream lab — Karel Barnoski