hyperbolic.Art
RosesTreesTilingsWritings

Geometry, art & the imagination

Writings.

A closer look at the shapes we make, the spaces they inhabit, and the people who learned to see them.

Regular heptagons receding toward the rim of a hyperbolic disk

Geometry & history / Essay 01

The Shape That Keeps Turning Up

How twenty-four heptagons became a meeting place for geometry, arithmetic, and an unusually human dispute over mathematical credit.

The Klein quartic · 10 minute read

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A computational reconstruction of the angels and devils pattern

Escher & perception / Essay 02

Angels, Devils, and the Shape Between Them

Circle Limit IV turns empty space into a second population—and lets a small imperfection in symmetry carry an enormous idea.

Circle Limit IV · 5 minute read

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From the page into the picture

Some ideas are best explored.

The hyperbolic plane ↗

Move through the tiling behind the Klein quartic.

Circle Limits & tilings ↗

Symmetry becomes fish, birds, and the spaces between them.

Hyperbolic trees ↗

Branching structures in a world with room to grow.

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