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Visual Physics Engine · Intent Tensor Theory
A self-resolving visual computation engine. Not a template-based GIF generator—a mathematical field projector that converts scalar inputs into pixel-perfect brand assets.
Core Principle
Scalar Unfurling
A single number contains infinite visual potential when projected through mathematical structure:
INPUT: angle = 45
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LEVEL 0: θ = 45 (scalar on ℝ)
LEVEL 1: θ_rad = 0.785398 (point on S¹)
LEVEL 2: (cos 45°, sin 45°) = (0.707, 0.707)
LEVEL 3: Line family p(t) = p₀ + t·(0.707, 0.707)
LEVEL 4: ~50,000 pixel decisions
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OUTPUT: Visual field rendered to canvas
Expansion Ratio: 1 number → 50,000 pixels
The Mathematics
Φ → ∇Φ → ∇×F → ∇²Φ
Φ
Background field
Solid color, gradient
∇Φ
Gradient direction
Diagonal lines, crosshatch
∇×F
Curl patterns
Waves, rings, burst
∇²Φ
Collapse points
Corners, shapes, bounds
Features
Command-Line Interface
Type natural language commands. The engine parses intent and computes visuals.
Color Palettes
Built-in brand palettes with mathematically harmonious color relationships.
Decoration System
Grid, dots, waves, burst, rings—all computed from field equations.
Animation Engine
Frame-by-frame GIF generation with smooth mathematical interpolation.
Funnel Function Institute 