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Klein Bottle — Spectral Immersed | PAPP

Sketchfab
3D Model

Klein Bottle — Spectral Immersed | PAPP

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

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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