Sketchfab
3D Model
Klein Bottle — Spectral Immersed | PAPP
License & Attribution
Description
This object is a computational reconstruction of the classical Klein bottle, a non-orientable surface where inside and outside become indistinguishable.
The model is built from a high-resolution parametric domain (256 × 128), generating 32,768 vertices and over 230k total edges, including 166k structural edges.
Multiple edge families — bands, braids, bridges, and seam connections — reveal the internal organization of the surface and make the topology visually readable.
A spectral encoding system maps intrinsic geometric channels (seam proximity, twist, braid energy, and latitude phase) into vertex color and scale, transforming the surface into an informational object rather than a purely aesthetic form.
Because a true Klein bottle cannot embed in 3D space without intersection, the object is shown as an immersed surface in ℝ³, where self-contacts naturally emerge from the topology itself.
Generated by PAPP Framework.
Sketchfab
3D Model
Klein Bottle — Spectral Immersed | PAPP
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Asset Information
Type:
3D Model
Source:
Sketchfab
Author:
consciousfractalProfile:
View on Sketchfab
Download:
Available
Published:
March 12, 2026
License:
CC Attribution
Commercial Use
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Statistics
Downloads:
1
Likes:
0
Views:
3
Technical Specifications
Polygons:
0
Vertices:
102,078
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