Sketchfab
3D Model
Shamseh V4 Spherical Phyllotaxis (110k) | PAPP
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Description
Beyond standard 3D modeling: a mathematical autopsy of an algorithmic prototype. This is the V4 projection of the 2D Islamic "Shamseh" seed, processed via the Polytopic Archetypal Projection Protocol (PAPP).
The Anatomy: 24 concentric perfect spheres (R²=1.000000 each), built by a single connected graph. Every vertex is placed by rotating exactly 137.508° — the golden angle (2π/φ²) — from the previous one. The same rule sunflowers use to pack seeds, projected onto 3D spherical shells.
Fibonacci Signature: Azimuthal FFT reveals spiral counts of N=8,13,21,34,55 — five consecutive Fibonacci numbers. Ratios converge to φ. This is not an Islamic rosette; it's a spherical sunflower.
Network: 110,480 vertices, 747,904 edges. 73.8% intra-shell, 26.2% inter-shell (adjacent only). Connectivity peaks at the penultimate shell (96% from center) and drops at boundaries — a topological edge effect.
A phyllotactic crystal in 24 layers. Raw generative topology.
Generated via PAPP Framework.
Sketchfab
3D Model
Shamseh V4 Spherical Phyllotaxis (110k) | PAPP
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Asset Information
Type:
3D Model
Source:
Sketchfab
Author:
consciousfractalProfile:
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Available
Published:
February 25, 2026
License:
CC Attribution
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1
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0
Views:
5
Technical Specifications
Polygons:
0
Vertices:
110,480
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