FRACTARIUM Interactive Observatory for Mathematical and Emergent Phenomena
EN JP

OBSERVATION CHAMBER / MVP

Complex Function Warper

Switch complex functions and watch grids, circles, and points bend, flip, and wrap.

complex Prototype
Drag the source point to watch where it lands after mapping.


OBSERVATION GUIDE

Touchpoints for Observation

Observe how complex-function warps bend the plane while keeping point-to-point correspondence visible.

  • Switch maps and compare grid, circle, point, and line views.
  • Poles and inversions make the strongest distortions.
  • Circles and lines are useful for reading how space folds.

This is a visual complex-function warping model, not a formal analysis tool.

Runs inside the browser with no upload and no registration.

SYSTEM NOTE

z = x + iy, w = f(z). Complex functions bend grids, points, circles, and lines.

OBSERVATION POLICY

This lab runs in your browser. No image, pointer trace, or input is uploaded by this prototype.



Continue observation through connected systems.

FRACTAL Fractal Zoomer Space / Recursive Structure CHAOS Chaos Map Lab Time / Bifurcation FIELD Flow Field Painter Flow / Field WAVE Resonance Tuner Wave / Resonance NETWORK Slime Route Builder Network / Emergence ECOSYSTEM Ecosystem Balancer Life / Drift ORBIT Gravity Slingshot Orbit / Gravity DIMENSION 4D Shadow Projector Dimension / Projection CELL Cell Rule Playground Cell / Pattern EQUATION Equation Motion Engine Equation / Motion BRANCH Decision Collapse Tree Branch / Collapse
CURRENT Complex Function Warper Complex / Mapping
PROJECTION Sphere-to-Plane Mapper Projection / Sphere HYPERBOLIC Infinite Tile Disk Hyperbolic / Tiling ECHO Mutation Chain Lab Echo / Inheritance SWARM Swarm Rule Mixer Swarm / Emergence INK Ink Plume Tank Ink / Diffusion REACTION Pattern Chemistry Lab Reaction / Pattern GROWTH Particle Branch Builder Growth / Aggregation DISCHARGE Lightning Generator Discharge / Branching CRITICAL Avalanche Sandpile Criticality / Avalanche PULSE Pulse Route Network Signal / Pulse THRESHOLD Threshold Grid Threshold / Connectivity LENS Gravity Lens Warper Lens / Light KNOT Knot Crossing Inspector Knot / Invariant PHASE Phase Transition Furnace Phase / Order TERRITORY Territory Splitter Territory / Distance MAGNETIC Magnetic Field Sandbox Magnetic / Polarity SYMMETRY Symmetry Copy Maker Symmetry / Orbit INTERFERENCE Wave Interference Basin Wave / Interference GRAMMAR Rule-Grown Garden Grammar / Growth GAP Prime Gap Constellation Prime Gap / Density MODULAR Modular Domain Explorer Modular / Fundamental Domain RADON Projection Scanner Radon / Reconstruction CRYSTAL Crystal Growth Furnace Crystal / Growth VORTEX Vortex Flow Mixer Vortex / Flow NEURAL Neural Pulse Network Neural / Reroute IMMUNE Virus Defense Arena Immune / Defense RESISTANCE Flow Tank Lab Flow Tank / Wake FLOW Obstacle Flow Lab Grid Flow / Solid Mask FLOW Karman Vortex Tank Cylinder Wake / LBM FLOW CFD Solver Lab Pressure / Projection CANDIDATE AI Word Flow Words / Candidate Competition COMPLEX Riemann Sheet Navigator Complex Path / Monodromy SPECTRUM Spectral Drum Membrane / Eigenmodes TOPOLOGY Topology Flood Persistence / Connectivity

This chamber belongs to Shape & Space.

GEOMETRY Back to Shape & Space Route.