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WAGARA 03 — Kikkō ⇄ Shippō Sphere | PAPP
3D Model

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consciousfractal
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Triangles: 114.2k
Vertices: 57.1k
More model information

WAGARA 03 (V3) encodes a Japanese pattern morph: Kikkō (亀甲) tortoiseshell hex lattice at the core continuously transforms into Shippō (七宝) interlocking circles toward the outer ring.

The transition preserves the shared circle-based “DNA”: Bishamon-Kikkō depth illusion (3 rotational hex subsets) blends into Shippō-Tsunagi vesica-piscis peaks at circle intersections.

Geometry is generated through the PAPP 6-stage pipeline (φ-RG → continued fraction → Pythagorean triple → S³ sampling → Hopf fibration → stereographic field), then mapped onto a full 360° sphere via dual Lambert azimuthal equal-area projection with a smooth ±15° equatorial blend.

Mesh: 57,122 verts / 114,240 faces, closed orientable manifold (χ=2, watertight), base radius 3.0, R₃d range [3.000, 3.900], max displacement 0.848, surface area 338.0, 100% outward orientation.

Seed [3, 6, 120, 16], β*=36.25, (p,q)=(4,36), triple (1280,288,1312), V₄D=6335.

Unique colors: 8,153.

Generated by PAPP Frameworj

License:

CC AttributionCreative Commons Attribution

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Published 2 months ago
Mar 6th 2026
  • Art & abstract 3D Models
  • Science & technology 3D Models
  • islamic
  • generative
  • topology
  • circle
  • geometry
  • textile
  • group
  • math
  • dual
  • projection
  • 4d
  • sphere
  • pattern
  • computational
  • vertex
  • colors
  • procedural
  • tessellation
  • s3
  • wallpaper
  • packing
  • watertight
  • manifold
  • stereographic
  • kumiko
  • lambert
  • treasures
  • piscis
  • algorithmic
  • 3d
  • art
  • design
  • japanese
  • vesica
  • tortoiseshell
  • papp
  • sashiko
  • kikko
  • wagara
  • hopf
  • fibration
  • shippo

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