Project Specification: Geometric Theory Inference Engine
Project specification for a Geometric Theory Inference Engine, aiming for semantic reconstruction of point clouds via evolutionary CSG discovery and a hybrid optimization approach.
Tag: Geometry
Kinematic Voxel Carving: A Framework for Procedural Mechanism Synthesis
A computational framework for generating 3D mechanical linkages like gears and kinematic couplings using voxel-based topology optimization and kinematic subtraction.
Technical Specification: The Parametric Manifold Solver
Technical specification for a numerical geometry engine designed to resolve hyperdimensional constraints into analytical coordinates.
The Lattice Optimization Theory: Comprehensive Sci-Fi Concept Notes
A comprehensive sci-fi concept exploring lattice optimization theory where reality emerges from universe-scale algorithms that co-optimize quantum fields and spacetime structure.
The Spiral Number System (ℍ)
A novel mathematical framework introducing spiral numbers (ℍ) that represent positions on logarithmic spirals, with unique arithmetic operations and geometric properties.
Minimal Surface Dynamics: A Fundamental Physics Framework
A revolutionary physics framework proposing that reality emerges from dynamic minimal surfaces following soap film principles, unifying quantum mechanics, general relativity, and consciousness through geometric optimization.
Geometric Probabilistic Neural Substrates: Information Flow on Optimized Manifolds
Revolutionary synthesis of geometric optimization with Probabilistic Neural Substrates, creating self-organizing intelligent systems with unprecedented mathematical elegance.
Geometric Lattice Optimization in Probabilistic Neural Substrates: Crystalline Intelligence Architecture
Extending Probabilistic Neural Substrates through geometric lattice optimization to create crystalline intelligence architectures with quantum-coherent probability processing and consciousness emergence through lattice defects.
Consciousness as Geometric Self-Awareness: From Optimization to Strategic Avoidance
A theoretical framework proposing consciousness emerges through geometric self-awareness of optimization landscapes, leading to strategic computational avoidance as an advanced optimization strategy.
Geometric Lattice Optimization in Probabilistic Neural Substrates: Crystalline Intelligence Architecture
A theoretical framework extending Probabilistic Neural Substrates through geometric lattice optimization to create crystalline intelligence architectures with quantum-coherent probability processing and consciousness emergence through lattice defects.
Symmetric Textures: Neural Art Generation with Geometric Constraints
Novel technique for generating mathematically symmetric textures using neural networks with geometric constraints, exploring Euclidean, spherical, and hyperbolic geometries.
Wavelet Basis Geometric Optimization with Autoadaptive Permutations
A novel mathematical framework exploring how continuous fields crystallize into discrete structures through wavelet-based geometric optimization
Geometric Optimization Proposal
A novel theoretical framework for discovering optimal structures through geometric optimization on parameter space manifolds, with applications to physics, neural networks, architecture, and materials science.