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Shamseh V4 Spherical Phyllotaxis (110k) | PAPP

Sketchfab
3D Model

Shamseh V4 Spherical Phyllotaxis (110k) | PAPP

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

Download:

Available

Published:

February 25, 2026

License:

CC Attribution

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Downloads:

1

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0

Views:

5

Technical Specifications

Polygons:

0

Vertices:

110,480

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