GL-001 Gauss-Legendre Fractal Normal Texture and 3D Model Texture

Spectral-GL-001 — Gauss-Legendre Quadrature (Spectral Element Model)Catalog Reference

UUON Wave Vector Catalog – Section 4.4: Spectral Element Methods

• Subseries: SEM (Spectral Element Models)

• SEM₁: Gauss-Lobatto-Legendre — GLL-001

• SEM₂: Gauss-Radau-Legendre — GRL-001SEM₃: Gauss-Legendre Quadrature — GL-001 (Spectral-GL-001)

• SEM₄: Mortar Elements — MORTAR-001

• SEM₅: hp-Refinement — HP-SEM-001

• SEM₆: Discontinuous Galerkin Spectral — DG-SPECTRAL-001

• Listing ID: Spectral-GL-001

• Edition: Original Stamp File

• Model Specifications

• Vertices: 786,432

• Triangles: 262,144

• Indexing: [Start: 0, Count: 786432]

• Geometry Size: 2.000 × 2.000 × 2.400 units

• Formats Included: OBJ (.obj + .mtl), USDZ (.usdz), glTF (.gltf / .glb)

Texture Mapping: Procedural fractal normal map (Spectral-GL-001)

Why Spectral Element Modeling?

Gauss-Legendre Quadrature (GL):

• Uses optimally distributed integration points to minimize error in spectral element calculations.
• Basis for high-accuracy solutions in computational mathematics, FEM (Finite Element Methods), and wave modeling.-

Spectral-GL-001 Asset:

• Encodes this principle in a 3D mold with fractal normal mapping, demonstrating algorithmic wave precision in surface representation.
• Unlike standard meshes, the procedural normal mapping carries the fine detail, independent of polygon count.
• Geometry (vertices/triangles) defines the base mold, while the fractal normal mapping defines surface fidelity.

*Included Assets*

• High-resolution mesh in multiple formats (OBJ, USDZ, glTF).
• Procedural fractal normal mapping file (Spectral-GL-001, 1024x1024).

Licensing & Ownership

Distributed without a bundled license.Commercial, reproduction, or exclusive rights available upon request.Contact: UUON Foundation — phi1@uuonfoundation.com

Note: Preview renders are for demonstration only. Screenshots cannot reproduce fractal normal mapping, as only the procedural files contain the wave algorithm data.

Applications

• Spectral and finite element visualization
• Simulation of waveforms and quadrature methods
• High-resolution VFX and 3D rendering
• Generative design inspired by spectral methods
• Collectible algorithmic artifact (1 of 1)