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Hopf Bloom

A living 4D mathematical art display that projects Hopf-fibration fibers into a neon spatial bloom.

Hopf fibration projected from S³ → R³

Current mood: cathedral. The bloom is generated from 12,288 linked fiber samples.

What you are seeing

A cloud of points sampled on a 4D sphere, twisted through quaternion phases, and projected into 3D.

Why it feels unusual

The fibers are not just orbiting; they are linked circles from a Hopf fibration, breathing with irrational phase waves.

How to play

Switch moods, pause the motion, or reseed the color field to discover new spatial calligraphy.