- Artifact ID: UUON_000023
- Generated: 2026-05-19T08:24:14.974Z
- Engine: queueBIT v1.0.0
Classification
- Primary: Deep Menger Hierarchy
- Topology: Pure Menger IFS
- Symmetry: O_h (cubic)
- Aesthetic: Geometric Minimalism
Mesh Statistics
- Triangles: 1,883,808
- Vertices: 1,689,462
- Edges: 2,849,177
- Surface Area: 231.6733
- Volume: 5.488
- Void Ratio: 39.0%
- Manifold: open (167816 boundary edges)
- Complexity: 5.7/10
Scale & Units
- Coordinate system: Y-up, right-handed
- Internal fractal units are normalised; scale to taste on import.
Material
- Standard PBR material factors embedded in GLB/GLTF: baseColorFactor, metallicFactor, roughnessFactor, emissiveFactor
- OBJ Phong approximation available in model.mtl.
- KHR_materials_iridescence extension included where applicable.
Package Contents (See License for specifics)
- model.glb - Solid PBR mesh (Blender, Unity, Unreal, Rhino)
- model.obj - Universal mesh with normals (Maya, Cinema4D, Rhino, legacy tools)
- model.mtl - Material library for model.obj (auto-loaded by most DCC tools)
- wireframe.gltf - Edge wireframe (MeshLab, Houdini)
- preview.png - Raymarched preview render / marketplace thumbnail
- metadata.json - Mesh metadata and classification
- analysis.json - Deep mesh analysis (genus, topology, printability)
- provenance.json - SHA-256 provenance fingerprint and authenticity record
- export_history.json - Running log of all exports from this session
- README.txt - This file
- license.txt - Rarity assessment, license terms, and algorithm disclosure
Tags: fold:None, menger-iter:5, compact, ifs, fractal, procedural
Fabrication
- Suitability: SLA/SLS recommended, moderate porosity
Generation Type
- Deterministic Recursive System
Artifact Category
- Computational Geometry / Deep Recursive Lattice Structure
Computational Characteristics
- Recursive
- Parametric
- Procedural
- Algorithmic
- Deterministic
- Hierarchical
- Cellular
- Cubic
- Fractal
- Modular
- Multiscale
- Symmetrical
Structural Behaviors
- Hierarchical spatial organization
- Recursive void distribution
- Cubic lattice relationships
- Self-similar geometric scaling
- Multiscale structural repetition
- Surface-area optimized organization
- Distributed cellular pathways
This structure is generated through repeated recursive subdivisionrather than manual polygon construction.
Observed Properties
- High geometric density
- Distributed internal structure
- Recursive spatial organization
- Deterministic reproduction
- Scalable geometric complexity
- Compact mathematical representation
- Non-repeating visual detail
- Reproducible generation states
The Deep Menger Hierarchy preserves self-similar organization acrossmultiple scales. Large visual complexity emerges from a comparativelysmall set of recursive operations.
Geometric Characteristics
- Cubic symmetry relationships
- Recursive lattice organization
- Cellular framework distribution
- Nested spatial hierarchy
- High detail density
- Distributed structural pathways
The combination of approximately 1.88 million triangles with a39% void ratio creates a structure with substantial internalcomplexity while maintaining distributed open regions throughoutthe geometry.
The measured surface area to volume relationship produces densevisible structure relative to occupied volume, which contributes tothe layered appearance associated with recursive Menger systems.
Extended Real-World Applications
Architecture & Structural Design
- conceptual facade systems
- lightweight lattice studies
- recursive space-frame concepts
- computational architecture research
- geometric optimization studies
Visualization & Rendering
- procedural environments
- cinematic rendering
- abstract environments
- mathematical visualization
- VFX assets
- computational sculpture
Academic & Scientific Context
- fractal geometry
- recursive mathematics
- topology studies
- computational geometry
- cellular organization studies
- complexity research
Generative Art & Digital Collectibles
- algorithmic artwork
- procedural sculpture
- computational installations
- collectible digital artifacts
Discovery Terms
- Deep-Menger
- Menger-Sponge
- Recursive-Geometry
- Fractal-Lattice
- Computational-Design
- Procedural-Generation
- Cubic-Symmetry
- Cellular-Structures
- Mathematical-Art
- Algorithmic-Art
- Complex-Systems
- Parametric-Design
- Scientific-Visualization
- Procedural-Modeling
- Digital-Collectibles
