MAIN HALL / RESEARCH FACILITY

FRACTARIUM

Interactive Observatory for Mathematical and Emergent Phenomena

Observe. Distort. Interfere. Explore.

A quiet browser-based observatory for mathematical structures, physical patterns, fields, waves, thresholds, and emergent forms.

ENTER LAB OBSERVE SYSTEMS

Browser only.
No upload.
No installation.
No account required.

WHAT IT IS

A set of live browser observation chambers. Each LAB is a small interactive field for watching structure, motion, threshold, trace, or emergence appear on the canvas.

HOW TO TOUCH IT

Start from a chamber, then disturb the field. Switch modes, drag points, add signals, change sliders, and use REPORT or Save PNG when the current state is worth keeping.

WHAT IT IS NOT

Not a formal solver or diagnosis tool. The chambers are visual observation models. They run locally in the browser and do not require upload, account, or installation.

BOOT SEQUENCE

Observation environment is online. The browser chamber is ready. No account required.

OBSERVATION MODE

Interactive field access. Touch, drag, zoom, and save the active structure.

SIGNAL TRACE

Resonance channel released. 46 active chambers now observe space, time, flow, waves, networks, life-like drift, orbital gravity, projection, cellular patterns, equation-driven motion, branching, complex-function warping, hyperbolic space, inherited echoes, swarms, ink, reaction fields, aggregation growth, discharge paths, sandpile avalanches, pulse routes, threshold connectivity, gravity-lens warping, knot crossings, phase boundaries, territory borders, magnetic polarity, symmetry copies, basin interference, rewriting grammar, prime-gap star maps, modular fundamental domains, Radon projection fields, crystal-growth fronts, vortex mixing, neural pulse rerouting, immune-field defense, dye wake patterns inside a flow tank, solid-mask obstacles inside a grid flow field, fixed-cylinder wake alternation inside a vortex tank, and weighted next-word candidate competition.

ACTIVE CONNECTIONS

SYSTEM MAP

01 SPACE Fractal Zoomer 02 TIME Chaos Map Lab 03 FLOW Flow Field Painter 04 RESONANCE Resonance Tuner 05 NETWORK Slime Route Builder 06 LIFE Ecosystem Balancer 07 ORBIT Gravity Slingshot 08 DIMENSION 4D Shadow Projector 09 CELL Cell Rule Playground 10 EQUATION Equation Motion Engine 11 BRANCH Decision Collapse Tree 12 COMPLEX Complex Function Warper 13 PROJECTION Sphere-to-Plane Mapper 14 HYPERBOLIC Infinite Tile Disk 15 ECHO Mutation Chain Lab 16 SWARM Swarm Rule Mixer 17 INK Ink Plume Tank 18 REACTION Pattern Chemistry Lab 19 GROWTH Particle Branch Builder 20 DISCHARGE Lightning Generator 21 CRITICAL Avalanche Sandpile 22 PULSE Pulse Route Network 23 THRESHOLD Threshold Grid 24 LENS Gravity Lens Warper 25 KNOT Knot Crossing Inspector 26 PHASE Phase Transition Furnace 27 TERRITORY Territory Splitter 28 MAGNETIC Magnetic Field Sandbox 29 SYMMETRY Symmetry Copy Maker 30 INTERFERENCE Wave Interference Basin 31 GRAMMAR Rule-Grown Garden 32 GAP Prime Gap Constellation 33 MODULAR Modular Domain Explorer 34 RADON Projection Scanner 35 CRYSTAL Crystal Growth Furnace 36 VORTEX Vortex Flow Mixer 37 NEURAL Neural Pulse Network 38 IMMUNE Virus Defense Arena 39 RESISTANCE Flow Tank Lab 40 GRID FLOW Obstacle Flow Lab 41 WAKE Karman Vortex Tank 42 PROJECTION CFD Solver Lab 43 CANDIDATE AI Word Flow

CHOOSE A ROUTE

Start with what you want to watch

GEOMETRY

Shape & Space For days when you want space to bend, fold, stretch, and reveal hidden structure. 9 LAB route

FIELD

Fields in Motion For watching invisible forces become trails, currents, wakes, waves, and pressure. 12 LAB route

GROWTH

Growth & Thresholds For patterns that branch, crystallize, topple, connect, melt, or grow from rules. 6 LAB route

SIGNAL

Signals & Networks For timing, rerouting, resonance, equations, chaos, and branching decisions. 8 LAB route

LIFE-LIKE

Life-like Emergence For systems that feel alive without pretending to be biology or medicine. 5 LAB route

STRUCTURE

Structures & Symmetries For borders, copies, gaps, crossings, and higher-dimensional shadows that leave structure behind. 6 LAB route

ACCESSIBLE CHAMBERS

ACTIVE SYSTEMS

FRACTAL / STATUS: ACTIVE

Fractal Zoomer

Zoom Mandelbrot, shift Julia parameters, and watch recursive coastlines unfold. INITIALIZE

CHAOS / STATUS: ACTIVE

Chaos Map Lab

Tune the logistic map and watch steady motion split into chaos. INITIALIZE

FIELD / STATUS: ACTIVE

Flow Field Painter

Choose a flow rule and release particles through spirals, streams, and attractors. INITIALIZE

WAVE / STATUS: ACTIVE

Resonance Tuner

Tune frequency, phase, and amplitude until waves lock, cancel, or stand still. INITIALIZE

NETWORK / STATUS: ACTIVE

Slime Route Builder

Place food and blocks, then watch paths reroute and fade. INITIALIZE

ECOSYSTEM / STATUS: ACTIVE

Ecosystem Balancer

Shift food, predators, and climate until populations wobble. INITIALIZE

ORBIT / STATUS: ACTIVE

Gravity Slingshot

Adjust mass and speed, then watch probes fall, escape, or whip around gravity wells. INITIALIZE

DIMENSION / STATUS: ACTIVE

4D Shadow Projector

Rotate higher-dimensional shapes and watch their shadows fold across the screen. INITIALIZE

CELL / STATUS: ACTIVE

Cell Rule Playground

Pick local rules and watch cells spread, drift, or die. INITIALIZE

EQUATION / STATUS: ACTIVE

Equation Motion Engine

Change equation terms and watch motion spiral, pulse, or settle. INITIALIZE

BRANCH / STATUS: ACTIVE

Decision Collapse Tree

Add pressure and noise, then watch branches grow, lock, fade, and collapse. INITIALIZE

COMPLEX / STATUS: ACTIVE

Complex Function Warper

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

PROJECTION / STATUS: ACTIVE

Sphere-to-Plane Mapper

Push points from a sphere onto a plane and watch the north pole stretch toward infinity. INITIALIZE

HYPERBOLIC / STATUS: ACTIVE

Infinite Tile Disk

Warp a Poincare disk and watch hyperbolic tiles shrink toward an infinite rim. INITIALIZE

ECHO / STATUS: ACTIVE

Mutation Chain Lab

Tune mutation, memory, and selection as information strands branch and fade. INITIALIZE

SWARM / STATUS: ACTIVE

Swarm Rule Mixer

Change local flocking rules and watch groups split, scatter, align, and regroup. INITIALIZE

INK / STATUS: ACTIVE

Ink Plume Tank

Drop ink into water and watch plumes sink, curl, spread, and fade. INITIALIZE

REACTION / STATUS: ACTIVE

Pattern Chemistry Lab

Adjust feed and kill rates to grow spots, stripes, and cells. INITIALIZE

GROWTH / STATUS: ACTIVE

Particle Branch Builder

Release walkers and watch them stick into branching structures. INITIALIZE

DISCHARGE / STATUS: ACTIVE

Lightning Generator

Raise voltage, place obstacles, and watch lightning find ground. INITIALIZE

CRITICAL / STATUS: ACTIVE

Avalanche Sandpile

Drop grains until one threshold break sends an avalanche through the pile. INITIALIZE

PULSE / STATUS: ACTIVE

Pulse Route Network

Fire pulses through a network and watch delay, sync, echo, and route memory appear. INITIALIZE

THRESHOLD / STATUS: ACTIVE

Threshold Grid

Open cells until scattered islands suddenly connect. INITIALIZE

LENS / STATUS: ACTIVE

Gravity Lens Warper

Bend starlight around a heavy center and watch rings, rays, and disks warp. INITIALIZE

KNOT / STATUS: ACTIVE

Knot Crossing Inspector

Rotate a closed loop and inspect crossings that keep the knot from coming apart. INITIALIZE

PHASE / STATUS: ACTIVE

Phase Transition Furnace

Heat and cool particles until order melts, freezes, and forms boundaries. INITIALIZE

TERRITORY / STATUS: ACTIVE

Territory Splitter

Move sites around and watch nearby space split into shifting territories. INITIALIZE

MAGNETIC / STATUS: ACTIVE

Magnetic Field Sandbox

Place poles and watch field lines and iron dust swing into alignment. INITIALIZE

SYMMETRY / STATUS: ACTIVE

Symmetry Copy Maker

Choose rotations or reflections and watch copies orbit around axes and fixed points. INITIALIZE

INTERFERENCE / STATUS: ACTIVE

Wave Interference Basin

Add wave sources and watch nodes, echoes, and interference bands spread across the basin. INITIALIZE

GRAMMAR / STATUS: ACTIVE

Rule-Grown Garden

Change rewrite rules and watch strings grow into branching plant forms. INITIALIZE

GAP / STATUS: ACTIVE

Prime Gap Constellation

Scan primes and watch long gaps, twin pairs, and density drift become a star map. INITIALIZE

MODULAR / STATUS: ACTIVE

Modular Domain Explorer

Shift, invert, and fold the upper half-plane into a domain. INITIALIZE

RADON / STATUS: ACTIVE

Projection Scanner

Scan projections, stack a sinogram, and rebuild a rough image. INITIALIZE

CRYSTAL / STATUS: ACTIVE

Crystal Growth Furnace

Seed a crystal, cool the field, and watch fronts, defects, and impurities grow. INITIALIZE

VORTEX / STATUS: ACTIVE

Vortex Flow Mixer

Add vortices, reverse spin, and watch particles twist into trails, pressure zones, and turbulent flow. INITIALIZE

NEURAL / STATUS: ACTIVE

Neural Pulse Network

Stimulate nodes, break paths, and watch pulses reroute through a changing network. INITIALIZE

IMMUNE / STATUS: ACTIVE

Virus Defense Arena

Release a virus, deploy immune cells, raise barriers, and watch spread, fatigue, and recovery fight for the field. INITIALIZE

RESISTANCE / STATUS: ACTIVE

Flow Tank Lab

Change the shape, flow, and medium, then watch dye, particles, and wake patterns gather around the body. INITIALIZE

FLOW / STATUS: ACTIVE

Obstacle Flow Lab

Place, move, and draw solid obstacles on a 2D grid, then watch the computed speed field and diagnostics respond. INITIALIZE

FLOW / STATUS: ACTIVE

Karman Vortex Tank

Run a fixed-cylinder D2Q9 LBM wake experiment and read computed speed, vorticity, density drift, and sign alternation metrics. INITIALIZE

FLOW / STATUS: ACTIVE

CFD Solver Lab

Step a browser projection-method grid solver and inspect velocity, pressure proxy, divergence, residual, boundary, and solid-mask diagnostics. INITIALIZE

CANDIDATE / STATUS: ACTIVE

AI Word Flow

Watch how a simplified AI word model passes signals across layers, then change a clue or weight and see the next-word candidates reorder. INITIALIZE

COMPLEX / STATUS: ACTIVE

Riemann Sheet Navigator

Trace a closed path through analytic branches and observe how returning to the same z can land on a different sheet. INITIALIZE

SPECTRUM / STATUS: ACTIVE

Spectral Drum

Draw a membrane, solve its six lowest vibration modes, choose a strike point, and watch shape change the spectrum and motion. INITIALIZE

TOPOLOGY / STATUS: ACTIVE

Topology Flood

Edit a point cloud, compute H0/H1 persistence, and sweep epsilon to watch components merge and one-dimensional intervals appear and disappear. INITIALIZE

PROTOTYPE SHELF

NEXT OBSERVATION CANDIDATES

These chambers are not public LABs yet. They are kept here as quiet signals for future expansion.

DEEP STORAGE

DEEP STORAGE CANDIDATES

Stored prototypes. Not public chambers yet.

[Structure] Information Strand Chamber

[Cascade] Viral Cascade Chamber