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Hopf Fibration — Cosmological Topology

Sketchfab
3D Model

Hopf Fibration — Cosmological Topology

Description

This is a computational visualization of the Hopf fibration, built from the exact map of S³ → S² and exported as a topological GLB scene. Rather than approximating the structure with ad hoc torus geometry, the model is generated from true Hopf fibers and organized around the Clifford torus as the central reference shell. Visual hierarchy is deliberately reduced to a small set of visible elements: 9 hero fibers, 12 secondary fibers, and 12 atmospheric halo fibers, while the remaining fibers are suppressed to preserve clarity and silhouette. Phase drives cyclic color along the hero fibers, latitude shifts the shell climate from cooler to warmer regions, the Clifford torus is treated as an opaline luminous core rather than a simple shell. Mathematical checks remain precise, with Hopf base error at machine scale and the Clifford shell centered at base z = 0. Generated as a structured topological artifact balancing geometric fidelity, readability, and computational aesthetics. Generated by PAPP Framework.
Sketchfab
3D Model

Hopf Fibration — Cosmological Topology

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Asset Information

Type:

3D Model

Source:

Sketchfab

Download:

Available

Published:

March 12, 2026

License:

CC Attribution

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Statistics

Downloads:

1

Likes:

0

Views:

5

Technical Specifications

Polygons:

132,192

Vertices:

66,096

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