Cascade
Böröczky's binary tiling of hyperbolic 3-space: congruent rooms, one parent above,
four children below, forever. No tiling by these rooms has any translational symmetry —
the order you fall through is aperiodic all the way down.
level 0
1× rooms this deep
drag — look · W/S — fly · A/D — sidestep · hold touch — dive
rendered in the upper half-space model; each level down, rooms double in each direction
provenance
project: cascade (dissemblage vitrine)
repo: gitlab.com/uprootiny/cookyourpoison · path: ~/cookyourpoison/cascade
geometry: Böröczky binary tiling of H³, upper half-space model, dyadic slabs
generated: 2026-08-21 · generator: Claude Code (Fable 5)
session: ~/.claude/projects/-Users-uprootiny-dissemblage-art/
THE GEOMETRY FAILED TO COMPILE