GPU Particle Animations

65,536 particles each — fully GPU computed — Three.js r160

Fourier Epicycles
Circles rotating on circles draw complex curves. The Fourier series made visible with progressively more epicycles.
Math ArtFourier Series65,536 particles
Audio Terrain
A 3D landscape that morphs like a sound visualizer. Bass hills, mid ridges, high detail — pulses with beat energy.
Sound VisualizationTerrain65,536 particles
Plasma Instability
Counter-streaming plasma forms current filaments through Weibel instability. Bright threads emerge from uniform plasma.
Plasma PhysicsFilamentation65,536 particles
Coral Reef
Branching coral colonies grow from the seabed — staghorn, brain, and fan corals with fish drifting around.
BiologyMarine65,536 particles
Doppler Effect
Wavefronts compress ahead and stretch behind moving sources. Includes a supersonic Mach cone shock wave.
PhysicsAcoustics65,536 particles
Predator-Prey
Prey flock together while predators hunt them. The flock splits, reforms, and evades in a Lotka-Volterra dance.
EcologyPredator-Prey65,536 particles
Newton's Rings
Thin-film optical interference creates concentric rainbow rings from drifting contact points.
OpticsInterference65,536 particles
Diffusion
Brownian motion diffusion. Four colored drops spread through random walks, mixing as they go.
PhysicsBrownian Motion65,536 particles
Plate Tectonics
Tectonic plates drift, collide, and subduct on a sphere. Divergent ridges spread, convergent boundaries dive.
Earth ScienceGeology65,536 particles
Neural Dendrites
A neuron's branching dendritic tree with electrical pulses propagating from tips to soma.
NeuroscienceNerve Cell65,536 particles
Rayleigh-Taylor
Heavy fluid falls through light fluid, growing mushroom-shaped plumes. Classic gravitational instability.
Fluid DynamicsInstability65,536 particles
Magnetic Reconnection
Opposing magnetic fields break and reconnect, launching particle jets. Solar flare physics at the X-point.
Space PhysicsSolar Flare65,536 particles
Ocean Currents
Global thermohaline circulation. Warm surface currents flow poleward, cold deep water returns on a sphere.
Earth ScienceOceanography65,536 particles
Gravitational Waves
Spacetime fabric ripples from merging massive objects. Chirp signal with increasing frequency and amplitude.
AstrophysicsGeneral Relativity65,536 particles
Vortex Street
Von Karman vortex shedding behind a cylinder. Alternating vortices form the classic fluid dynamics pattern.
Fluid DynamicsVortex Shedding65,536 particles
Penrose Tiling
Aperiodic quasicrystal with 5-fold symmetry. Five wave interference creates the non-repeating Penrose pattern.
QuasicrystalAperiodic65,536 particles
Earthquake
Seismic waves radiating from an epicenter. P-waves arrive first, then S-waves, then rolling surface waves.
SeismologyWave Propagation65,536 particles
Soap Bubble
Iridescent soap bubbles merging and reforming. Thin-film interference creates rainbow color shifts across the surface.
OpticsThin Film65,536 particles
Planetary Rings
Saturn-like rings with Cassini gaps, density waves from shepherd moons, and differential Keplerian rotation.
AstrophysicsOrbital65,536 particles
DNA Replication
A double helix unzips at a replication fork. Daughter strands form behind as the fork advances.
BiologyMolecular65,536 particles
Waterwheel
The Lorenz/Malkus waterwheel — the physical system behind chaos theory. Water fills, spills, and reverses chaotically.
Chaos TheoryPhysical System65,536 particles
Calabi-Yau
A 6D manifold from string theory projected to 3D. Jewel-like folded geometry that morphs as the projection sweeps.
String TheoryHigher Dimensions65,536 particles
Pulsar
A rotating neutron star emitting twin radiation beams from tilted magnetic poles. Cosmic lighthouse.
AstrophysicsNeutron Star65,536 particles
Solar Wind
Particles stream radially from a star in a Parker spiral pattern. Fast and slow wind create compression regions.
Space PhysicsParker Spiral65,536 particles
Sorting
65K-element sorting algorithm visualization. A sweep frontier progressively orders scrambled bars.
Computer ScienceAlgorithm65,536 particles
Blood Flow
Cardiovascular circulation with heartbeat pulse. Red arteries, blue veins, slow capillaries — the circulatory system.
BiologyCardiovascular65,536 particles
Protein Folding
A protein chain folds from a straight backbone into alpha helices and beta sheets, then relaxes and refolds.
BiologyBiochemistry65,536 particles
Mobius Flow
Particles flowing along a Mobius strip. The one-sided topology is visible as particles return on the opposite side.
Topology One-Sided 65,536 particles
Apollonian Gasket
A fractal packing of nested tangent spheres in 3D. Recursive subdivision fills every gap with smaller spheres.
Fractal Sphere Packing 65,536 particles
Gyroid
Particles confined to the Schoen gyroid minimal surface. An infinite crystalline lattice tiling 3D space.
TPMS Minimal Surface 65,536 particles
Quaternion Julia
A 4D Julia set fractal projected to 3D. Iterating q to q squared plus c reveals the boundary of quaternion dynamics.
4D Fractal Quaternion 65,536 particles
Lichtenberg
Stochastic fractal lightning. Dielectric breakdown branches grow outward with angular splits at every level.
Fractal Electric 65,536 particles
Wave Interference
Five moving wave sources create interference patterns. Bright caustic nodes and dark nodal lines on a particle grid.
Physics Interference 65,536 particles
Metaballs
Liquid mercury blobs merging and splitting. Particles cling to a morphing implicit isosurface.
Implicit Surface Organic 65,536 particles
BZ Spirals
Belousov-Zhabotinsky chemical reaction spirals on a torus. Rotating wavefronts create mesmerizing patterns.
Chemistry Spiral Waves 65,536 particles
Phyllotaxis
Golden-angle botanical spiral in 3D. A breathing pinecone shape with animated petal-count modulation.
Botany Golden Angle 65,536 particles
Double Pendulum
65,536 double pendulums diverge from near-identical starts. Chaos theory made visible in swirling trajectories.
Chaos Theory Sensitive Dependence 65,536 particles
N-Body Gravity
Particles orbit 4 massive gravitational attractors. Orbital streams merge and diverge in a gravitational dance.
Gravity Orbital Dynamics 65,536 particles
Turing Patterns
Reaction-diffusion patterns on a sphere. Particles drift into leopard spots and zebra stripes.
Morphogenesis Spots & Stripes 65,536 particles
EM Wave
Electric and magnetic fields oscillating perpendicularly as an electromagnetic wave propagates through space.
Electromagnetism Transverse Wave 65,536 particles
Trefoil Knot
Particles flowing through a trefoil knot tube. The simplest non-trivial knot in mathematics, alive with circulating particles.
Topology Knot Theory 65,536 particles
Cosmic Web
The large-scale structure of the universe. Particles form filaments connecting galaxy clusters with vast voids between.
Astrophysics Voronoi Filaments 65,536 particles
Kelvin-Helmholtz
Two fluid layers shearing past each other curl into mesmerizing spiral vortex rolls. Jupiter's atmospheric bands.
Fluid Dynamics Instability 65,536 particles
Chaotic Billiards
Particles bouncing inside a Bunimovich stadium. Regular island chains visible amid the churning chaotic sea.
Chaos Theory Hamiltonian 65,536 particles
Conformal Flow
Joukowski conformal mapping transforms flow around a circle into elegant swooping airfoil streamlines.
Complex Analysis Aerodynamics 65,536 particles
Particle Life
Six color species with asymmetric attraction rules self-organize into orbiting clusters and cell-like structures.
Artificial Life Emergent 65,536 particles
Physarum
Slime mold transport network. 65K agents sense and steer through an evolving field, forming organic vein-like patterns.
Emergent Slime Mold 65,536 particles
Kuramoto Sync
65K oscillators snap from chaotic rainbow noise into synchronized pulsating color waves as coupling crosses the threshold.
Phase Transition Synchronization 65,536 particles
Magnetic Pendulum
A pendulum over 3 magnets. Basin boundaries form a fractal as particles settle toward different attractors.
Fractal Basin Boundaries 65,536 particles
Attractor Morph
Continuous metamorphosis between Lorenz, Aizawa, Thomas, and Halvorsen strange attractors.
Strange Attractor Morphing 65,536 particles
Murmuration
A dense starling swarm that swirls, stretches, and contracts. Simplified Boids flocking in 3D.
Flocking Emergent 65,536 particles
Pendulum Wave
32 pendulums with slightly different frequencies create mesmerizing phase alignment patterns.
Wave Physics Phase 65,536 particles
Gravitational Lensing
Stars bend around an invisible mass creating an Einstein ring. General relativity made visible.
Astrophysics Einstein Ring 65,536 particles
Crystal Growth
Dendritic snowflake with 6-fold symmetry. Free particles lock into the growing crystal front.
Crystallography Dendritic 65,536 particles
Quantum Orbital
Hydrogen atom electron cloud morphing between s, p, and d orbitals. Quantum probability density visualized.
Quantum Mechanics Orbital 65,536 particles
Smoke
Realistic smoke rising from a source with buoyancy, turbulent curl noise, and age-based dissipation.
Fluid Dynamics Turbulence 65,536 particles
Sand Dunes
Wind-driven barchan dunes with ripples and saltation. A desert landscape shaped by layered wave dynamics.
Geophysics Aeolian 65,536 particles
Bifurcation
The logistic map's period-doubling route to chaos. The iconic bifurcation diagram rendered as particles in 3D.
Chaos Theory Logistic Map 65,536 particles
Mitosis
A cell undergoes division — elongation, cleavage furrow, spindle fibers, and separation into two daughter cells.
Biology Cell Division 65,536 particles
Gradient Descent
ML training made visceral. Particles descend a loss landscape with SGD momentum, oscillating in narrow valleys.
Machine Learning Optimization 65,536 particles
Prime Spiral
Prime numbers on a golden-angle spiral. Twin primes glow gold, gaps encoded as height. Number theory as particle art.
Number Theory Primes 65,536 particles
Neural Network
Activation pulses propagate through 6 layers of neurons. Connections light up as signals pass through.
Machine LearningNeural65,536 particles
Convection
Rayleigh-Benard convection cells. Hot particles rise, cool at top, sink — hexagonal patterns like the sun's surface.
ThermodynamicsConvection Cells65,536 particles
Lorentz Force
Charged particles spiral along magnetic field lines. Red positive, blue negative — particle accelerator physics.
ElectromagnetismHelical65,536 particles
Soliton
Stable wave packets that pass through each other without breaking. KdV solitons on a particle surface.
Nonlinear DynamicsWave Packet65,536 particles
Fish Swarm
65K fish school together, split around a predator, and merge back. Silvery cohesive swarm with figure-eight migration.
FlockingPredator-Prey65,536 particles
Ant Colony
65K ants march between nest and food sources. Pheromone-like noise fields guide self-organizing trail networks.
Swarm IntelligenceTrail Following65,536 particles
Four-Wing Attractor
The Qi chaotic system producing a striking four-lobed butterfly structure with complex inter-wing dynamics.
Strange Attractor Four-Lobed 65,536 particles
Dadras Attractor
A wispy, cloud-like chaotic system with two lobes. The Dadras-Momeni equations produce ethereal flowing forms.
Strange Attractor Cloud-like 65,536 particles
Spherical Harmonics
Morphing organic shapes from harmonic wave functions on a sphere. Animated coefficients create endlessly evolving surfaces.
Harmonic Surface Morphing 65,536 particles
Magnetic Field
Particles tracing 3D dipole magnetic field lines. Graceful arcs flow from pole to pole through the equatorial plane.
Physics Field Lines 65,536 particles
Nose-Hoover Attractor
A torus-like chaotic system from thermodynamic oscillator equations. Smooth flow on a donut-shaped manifold.
Strange Attractor Toroidal 65,536 particles
Ocean Surface
Gerstner wave equations on a particle grid. Three overlapping wave systems create a realistic ocean surface.
Physics Waves 65,536 particles
Shimizu-Morioka Attractor
A Lorenz variant with smoother, wider butterfly wings. Elegant transitions between the two lobes.
Strange Attractor Butterfly 65,536 particles
Vortex Rings
Toroidal vortex flow — particles circulate through a smoke ring, driven by poloidal circulation dynamics.
Fluid Dynamics Toroidal Flow 65,536 particles
Aurora Borealis
Shimmering curtain waves of light, mimicking the northern lights with layered sinusoidal displacement.
Nature Curtain Waves 65,536 particles
Rabinovich-Fabrikant
An intricately folded chaotic attractor with complex self-intersecting loops and delicate structure.
Strange Attractor Folded 65,536 particles
Jellyfish
A pulsating bell dome with trailing tentacles. Rhythmic contraction drives the flowing organic form.
Nature Organic 65,536 particles
Burke-Shaw Attractor
A pretzel-like twisted chaotic system with fast dynamics and intricate self-crossing trajectories.
Strange Attractor Twisted 65,536 particles
Flower of Life
Sacred geometry — 19 overlapping circles in hexagonal arrangement, rotating through 3D space with golden hues.
Sacred Geometry Hexagonal 65,536 particles
Mandala
Concentric rings with petal symmetry, differential rotation, and 3D breathing. Jewel-toned radial harmony.
Sacred Geometry Radial Symmetry 65,536 particles
Geometric Paradox
Morphing between impossible shapes — Penrose triangle, Necker cube, and Möbius strip in continuous transformation.
Impossible Geometry Morphing 65,536 particles
Curl Noise Flow
Divergence-free noise field creates ethereal smoke-like tendrils. Classic Shadertoy / demoscene technique.
Flow Field Demoscene 65,536 particles
Supershape
Gielis superformula morphs spheres into starfish, flowers, and crystals with animated parameters.
Superformula Morphing 65,536 particles
Black Hole
Accretion disk with Keplerian orbits spiraling inward. Inner particles glow blue-white, outer ones burn red.
Astrophysics Accretion Disk 65,536 particles
Hopalong Attractor
Barry Martin's iterated map creates intricate mandala-like orbital patterns through simple square-root rules.
Iterated Map Generative Art 65,536 particles
Klein Bottle
A 4D non-orientable surface immersed in 3D. No inside or outside — topology made visible.
Topology 4D Surface 65,536 particles
Tornado
A spiraling vortex funnel with turbulent dynamics. Particles accelerate inward and lift upward.
Weather Vortex 65,536 particles
Fireworks
Eight staggered bursts exploding radially with gravity arcs. Each burst a different color.
Simulation Ballistics 65,536 particles
De Jong Attractor
Peter de Jong's iterated map — intricate symmetric lace patterns from simple trigonometric rules.
Iterated Map Lace Patterns 65,536 particles
Galaxy Collision
Two spiral galaxies orbit and merge, their stars drawn into luminous tidal streams by mutual gravitation.
Astrophysics Tidal Streams 65,536 particles
Chua Attractor
Leon Chua's famous chaotic circuit — a double-scroll shape born from a single piecewise-linear nonlinearity.
Strange Attractor Double Scroll 65,536 particles
Pickover Attractor
Clifford Pickover's 3D iterated map generates feathery, organic forms from four trigonometric rules.
Iterated Map Feathery 65,536 particles
Chladni Patterns
Particles on a vibrating plate settle onto nodal lines. Cycling vibration modes create evolving symmetric patterns.
Physics Standing Waves 65,536 particles
Plasma Ball
Sixteen electric arcs branch from a central core to the glowing surface. Classic tesla-globe aesthetic.
Electricity Branching 65,536 particles
Supernova
A cyclic stellar explosion with shockwave dynamics. Particles rage from hot blue-white to cooling red embers.
Astrophysics Explosion 65,536 particles
Menger Sponge
A recursive 3D fractal cube. Each iteration removes the center of every subcube, carving infinite surface area.
Fractal Recursive 65,536 particles
Fractal Tree
Recursive 3D branching from trunk to leaves. Each level splits and shrinks, swaying gently in the breeze.
Fractal Branching 65,536 particles
Starfield Warp
Classic hyperspace effect — stars streaking outward from center with velocity-based brightness.
Sci-Fi Radial Flow 65,536 particles
Lu-Chen Attractor
A twisted variant of the Chen attractor with complex topology. Larger scale chaos with dramatic folds.
Strange Attractor Twisted 65,536 particles
Sprott Attractor
J.C. Sprott's minimalist chaotic system. Three elegantly simple equations produce complex attractor dynamics.
Strange Attractor Minimalist 65,536 particles
Hopf Fibration
Linked circles on a 3-sphere stereographically projected to 3D. A beautiful topological object where fibers never intersect.
Topology Linked Circles 65,536 particles
Fireflies
Wandering particles with pulsing brightness, like fireflies in a summer night. Calm, organic, meditative.
Nature Pulsing 65,536 particles
Lorenz Attractor
The iconic butterfly of chaos theory. Two-winged strange attractor with sensitive dependence on initial conditions.
Strange Attractor RK2 65,536 particles
Aizawa Attractor
A spherical shell-like chaotic attractor producing toroidal structures with intricate surface patterns.
Strange Attractor Toroidal 65,536 particles
Thomas Attractor
Cyclically symmetric knotted paths. Slow, meandering attractor producing beautiful intertwined loops.
Strange Attractor Cyclic Symmetry 65,536 particles
Torus Knot
Particles flowing along a (3,7) torus knot — a complex curve wrapping a torus, never self-intersecting.
Parametric Curve Flowing 65,536 particles
Halvorsen Attractor
A churning, tri-lobed chaotic form with three-fold rotational symmetry and turbulent dynamics.
Strange Attractor Tri-lobed 65,536 particles
Rossler Attractor
A band-like spiral with a dramatic sharp fold. One of the simplest systems exhibiting chaos.
Strange Attractor Spiral Fold 65,536 particles
Fibonacci Sphere
Golden ratio distribution on a sphere with breathing waves and spiral rotation. Nature's most elegant pattern.
Nature-Inspired Phyllotaxis 65,536 particles
Chen Attractor
A double-scroll chaotic attractor with fast, turbulent dynamics and butterfly-like structure.
Strange Attractor Double Scroll 65,536 particles
Galaxy Spiral
Four-arm spiral galaxy with differential rotation. Inner stars orbit faster than outer ones.
Astrophysics Differential Rotation 65,536 particles
DNA Helix
Double helix with connecting bridges. Two intertwined strands scrolling through space.
Biology Parametric 65,536 particles
Clifford Attractor
A feathery 2D iterated map creating dense, organic patterns through simple trigonometric rules.
Iterated Map Generative Art 65,536 particles
3D Lissajous
Hypnotic harmonograph curves in 3D. Evolving phase parameters create endlessly morphing patterns.
Parametric Phase Animation 65,536 particles
Built with Three.js r160 + GPUComputationRenderer