Quantum and optical structures

Hopf Fibration

every circle linked with every other

A study in motion and form.

Studio tab: Hopf
Implementation family: hopf
Preset configurations: 6
Recorded evidence: Checks within stated limits

This evidence label refers to recorded internal checks within their stated limits. Sample renders illustrate a configuration’s output. They do not establish scientific validity.

Hopf Fibration, Linked circles preset sample — Linked circlesSample render

Explore a preset

6 of 6 preset stills available.

Preset gallery.

6 named configurations in this technique. Select an image to inspect its full sample above.

Hopf Fibration: Linked circles preset render — Linked circles

Hopf Fibration: Nested tori preset render — Nested tori

Hopf Fibration: Near poles preset render — Near poles

Hopf Fibration: Dense preset render — Dense

Hopf Fibration: Base S² preset render — Base S²

Hopf Fibration: Sparse preset render — Sparse

All 6 preset names

Linked circles
Nested tori
Near poles
Dense
Base S²
Sparse

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Density 55Scale 1Complexity 5

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