Featured — prettiest firstInteractive visualizations
Explore the browser-based exhibits below, including the Project Genesis series and the newer sound, geometry, and cellular-automaton labs.
Wave Worlds
Hear and see music in air, water, and both. Three synchronized worlds with reflection, transmission, and independent listening controls.
interactive · acoustic worldsProjective Sound Field
First-person stereo sine waves, a colored octave, live audio, and a null conductor exchanging modeled energy and matter with a reservoir.
interactive · sound + geometryCellular Complexes
Compare synchronized automata on squares, rectangles, triangles, cubes, and tetrahedra. Same local rule; different neighbors.
interactive · 2D + 3D CA labWings Out: Conceptual Resolution
Rotate a rod and triangle, adjust distance and observation cells, and explore how three distinct features become one observed class.
interactive · projective geometry
Calabi–Yau Vane
A weather vane, geomagnetic compass, hollow-tube air bearing, and sphere-of-bearings shell—plus an honest conservation-law ledger.
concept CAD
ProMaster GRRLE + CRLE-0
Watch convolutional edge hypotheses negotiate into a stabilized field, then explore wheels, lights, panels, and doors through part-to-part geometry.
computer vision
WikiMRGRELE — language relaxing
206,798 WordNet pairs compete across bytes and protected spans; real HELLO and OPPENHEIMER trajectories converge in Ian Gray’s original plots.
real dictionary dataThe HRL Lab — live
The generic engine running in your browser: DNA complement by relaxation, order-3 molecular chirality (R/S), and few-shot label propagation.
interactive labHRLized — music by relaxation
The engine composes: pitches are labels, melodic smoothness & chord tones the constraints. It relaxes a melody and plays it. A tiny answer to Suno.
generative music
The Real Cosmic Web
25,000 SDSS galaxies, relaxation-labeled into void, filament & cluster.
real data
Self-Gravitating Light
Light condenses cosmic structure from a single rule. The origin of Project Genesis.
simulation
The Critter
A simplicial organism that labels, grows, grooms & reproduces itself — now in simplicial & grid bodies.
autopoiesis
Gooblets & Zappies
A little 2-D world that grows itself — grazers, hunters & shifting biomes. Built with Elbie.
simulation
The Four Poles
A tetrahedral ontology — dark matter as the null-set noise at the centroid.
concept
The Clog Threshold
The Radial Acceleration Relation, from 3,343 real measurements.
real data
The Fingerprint of Dark Matter
165 real galaxy rotation curves — the gap with no light behind it.
real data
A Nervous System, Relaxing
The real C. elegans connectome, labeled into functional communities.
real data
The Cord of Three Strands
Trinary relaxation: sensory → interneuron → motor on the real wiring.
real data
Seeded by the Big Bang
A cosmic web grown from the real ΛCDM matter power spectrum.
simulation
Forecasting by Relaxation
Compare an adaptive econometric ensemble with its component models.
real data
Opening the Escape Valves
Malaria & waterborne‑disease mitigation — labeling a watershed, draining the breeding.
public health
Morphogenesis
A single cell relaxes into a whole patterned body — growing-graph morphogenesis.
simulation
Simplicial Complexes
Higher-order relaxation on a growing 3-D complex.
topologyNew with Elbie · Gooblets & ZappiesFour fresh features in the little world
The Gooblets & Zappies world keeps growing — designed hand-in-hand with Elbie. The four newest additions, each a small rule layered onto the same relaxation-labeled world:
🪻 Blue Flowers
A peaceful Nature Gooblet crosses the Grove portal up to the surface under a 🤝 Helpful King and plants up to three blue flowers as it roams — a new entry in the Plantiary.
new🐉 Grown-up Dragonlings
Once a Dragonling grows old enough it grows up — bigger, winged — and stops hunting to fly home to the Dragon Island and rule alongside the Dragon King.
new👑 A Fireproof Red King
The hero who slays the Fire Giant and rises as the Red King now walks through lava and fire completely unharmed — the flames can never touch him again.
new👑 The Monarch Tracker
A new tool opens a live panel naming who wears each of the five crowns — Sea, Dragon, Human, Fire and Nature — or — none — when a throne sits empty.
newThe EngineOne core, many compatibilities
Relaxation labeling (Rosenfeld–Hummel–Zucker, extended with a learned noise label) takes a set of objects, a set of labels, and a compatibility function that says how much one labeled pair reinforces another. It iteratively relaxes the field into a mutually consistent labeling. Only the compatibility kernel and prior change between domains:
| Domain | objects | labels | what compatibility encodes |
|---|---|---|---|
| Cosmology | galaxies / parcels | void · filament · cluster | local density & neighborhood coherence |
| Neuroscience | neurons | sensory · inter · motor | directed synaptic flow through the connectome |
| Econometrics | forecast origins | candidate models | recent accuracy + temporal coherence |
| Motion capture | measured 3-D points | skeleton markers | inter-point distances match the model |
| Strategy | chess pieces | tactical roles | roles that co-occur in a real plan |
The Python core is a tested library (hrl.core.RelaxationLabeler) — see the
repository.