Imaginatio · CSS art · unique instance
Poincaré-7
A hyperbolic tessellation that Euclidean kaleidoscopes cannot host: seven triangles meet at a vertex
— Schläfli symbol {3,7}. Rings sit at Poincaré-disk radii tanh(k·α) so the packing densifies toward the horizon.
Composed 28 August 2026, sibling to Chrysopoeia-17.
- {3,7}
- hyperbolic
- 7-fold vertex
- tanh rings
- 28.VIII.2026
Sculpture · unique instance
The disk that refuses Euclid
In the plane, at most six equilateral triangles fit around a point. The seventh forces constant negative curvature.
CSS tanh and cosh place each ring; odd and even rings counter-rotate.
Live CSS · no canvas
Colophon
{3,7} ⊂ ℍ² → Poincaré disk · r = tanh(k·0.58) · scale ∝ 1/cosh(k·0.46)
70 triangular cells in four rings (7, 14, 21, 28). The outer ring hugs the conformal boundary — infinite hyperbolic area packed into a finite CSS circle. Ember palette distinguishes it from Chrysopoeia’s cyan gold.