A hyperbolic diversion

After M.C. Escher: Edge of infinity

An original interlocking menagerie of chimeras, koi, moths, and salamanders. Bend their shared edges, then move toward any ideal-boundary point; the pattern never runs out of figures.

magnification ×1.0 boundary fixed · {6, 4}

Scroll to zoom at the pointer · drag to shift the interior

Design studio Draw in a flat source triangle, then let curvature take over. Make your own

Euclidean source cell

Compose before curvature

0 / 12 shapes
Design
Hyperbolization

A discrete harmonic map carries this flat reference triangle into the curved Schwarz triangle while keeping all three edge correspondences exact.

Interlocking edges

Each curve is mirrored onto its neighbour automatically.

Selected shape

Changes appear immediately in the tiling above.

Shared designs should be your own work or use material you have permission to reuse.

Same geometry, two windows. The Cayley transform carries every arc and motif between the disk and half-plane views.

Whole Wythoff families. Regular, rectified, truncated, and omnitruncated faces are cut from the same {p, q} reflection group at render time; none is a scaled bitmap.

Flat source, curved image. The studio exposes the local step behind ornament hyperbolization: harmonic coordinates deform a Euclidean source while reflections assemble the global pattern.