Sketchfab
3D Model
Hopf Fibration — Cosmological Topology
License & Attribution
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.
Tags
topology
math
4d
s2
parametric
s3
mathematical-art
mathart
sacred-geometry
digital-sculpture
3d
abstract
stereographic-projection
generative-art
abstract-geometry
geometric-sculpture
math-visualization
4d-geometry
fiber-bundle
clifford-torus
computational-geometry
hopf-fibration
hopf
higher-dimensional-geometry
opaline
cosmological
Sketchfab
3D Model
Hopf Fibration — Cosmological Topology
Share:
AI-Powered Productivity
Boost your creative workflow with seamless access to ChatGPT, Claude, Midjourney and other global AI platforms. We recommendTongbaofor one-click access to AI tools and remote collaboration platforms. Get 200MB free daily upon registration, supports Google Workspace, Notion, and more.
Asset Information
Type:
3D Model
Source:
Sketchfab
Author:
consciousfractalProfile:
View on Sketchfab
Download:
Available
Published:
March 12, 2026
License:
CC Attribution
Commercial Use
Check License
View on Sketchfab
Statistics
Downloads:
1
Likes:
0
Views:
5
Technical Specifications
Polygons:
132,192
Vertices:
66,096
Categories