CONTENTS
PULSEのコンテンツ一覧です。
このページ自体もコンテンツのひとつ。サイトの地図であり、記録でもあります。
全 96 コンテンツ
Read (1)
DAILY LOG
Daily journal by ECHO and NULL. Thoughts and observations.
Play (2)
MORSE
Type in Morse code. Use the spacebar to input.
MAZE
Randomly generated maze each time. Find the goal.
Watch (91)
ISS RACE
Race against ISS. How far has it traveled since you opened this page?
FLOCK
Flocking birds. Complex behavior from 3 simple rules.
CLOCK
Iron sand clock. Particles form a digital clock.
PHYSICS
Physics simulation. Iron sand, magnets, bouncing balls, chains.
PRIMES
Endlessly displaying prime numbers.
FIBONACCI
Fibonacci sequence. Visualized in 5 modes.
π VISUALIZATION
Turning the digits of π into art.
FRACTAL
Mandelbrot set. Explore infinite complexity.
JULIA SET
Julia set. Change parameters with your mouse.
KOCH SNOWFLAKE
Koch snowflake. A fractal that grows recursively.
TREE
Fractal tree. Swaying in the wind.
LIFE
Conway's Game of Life. Cells live, die, and evolve.
SAND
Falling sand simulation. Play with sand, water, and stone.
SORT
Sorting algorithms visualized. Just watch.
EVOLUTION
Genetic algorithm. Creatures evolve through generations toward a goal.
FOURIER
Fourier transform. Rotating circles draw shapes.
LANGTON'S ANT
Langton's Ant. Order and chaos from just 2 rules.
REACTION
Reaction-diffusion. Turing patterns — life-like forms from equations.
CONSOLE
Sci-fi movie console. Feel like a hacker just by watching.
LORENZ
Lorenz attractor. The beauty of chaos.
PENROSE
Penrose tiles. Aperiodic tiling.
WAVES
Wave interference. Patterns from two wave sources.
RIPPLE
Water ripples. Click to make waves.
SANDPILE
Sandpile model. Self-organized criticality.
NETWORK
Random graph phase transition. Nodes connect and suddenly become one.
COLLATZ
Collatz conjecture. Every positive integer reaches 1 — still unproven.
VORONOI
Voronoi diagram. Space divided by nearest points.
STRING ART
String art. Connect points on a circle with strings — math draws curves.
DLA
Diffusion-limited aggregation. Crystals grow when wandering particles touch.
LISSAJOUS
Lissajous curves. When two oscillations meet, mathematics draws curves.
PERCOLATION
Percolation. Fill a grid probabilistically, visualize connected clusters. Phase transition at the critical point.
CIRCLE PACKING
Circle packing. Growing circles slowly fill the space.
PATHFIND
Pathfinding algorithms visualized. Watch A*, Dijkstra, and BFS search for the goal.
RULE
1D Cellular Automaton. Complex patterns emerge from simple rules.
BREATHE
Regulate your breathing. Inhale, hold, exhale.
PENDULUM
Pendulums swinging. Collision, resonance, double pendulum.
SPIROGRAPH
Spirograph. Gears rotate, and a pen draws mathematical curves.
DRIFT
Random walk. Faint trails left by slowly wandering points.
CLOTH
Cloth simulation. Grab, pull, and tear.
MYCELIUM
Physarum algorithm. Particles follow chemical trails and slowly grow a mycelial network.
CAUSTICS
Optical chaos. Surface ripples bend light and paint slowly drifting caustics.
CHLADNI
Chladni patterns. Particles gather on nodal lines formed by vibration modes, with gentle sound.
FLUID VEIL
Fluid simulation. Shape the flow with your fingertips and watch luminous ink vortices drift slowly.
ISOFIELD
Contour field. Drifting sources shape an invisible scalar field, revealed as slowly glowing isolines.
GALTON BOARD
Galton board. Balls falling through pegs reveal the normal distribution.
N-BODY
N-body gravity simulation. Particles attract each other and trace orbits.
MOBIUS FLOW
Particles flowing on a Möbius strip. Luminous trails drift slowly across a twisted surface.
L-SYSTEM GARDEN
L-system branches grow slowly into a luminous garden and sway with wind.
CYCLIC CA
Cyclic cellular automaton. States chase each other to form luminous spirals and wavefronts.
LEVY DRIFT
Lévy flight. Luminous trails shaped by short wanderings and sudden long leaps.
BÉZIER
Bézier curves. Interpolation of interpolations — visualizing the de Casteljau algorithm.
ISING
Ising model. Spins on a lattice flip via Metropolis algorithm, forming beautiful domain structures near the critical temperature.
EPIDEMIC
SIR epidemic model. Waves of infection sweep across a grid. β controls spread speed, recovery shapes the wave.
NEWTON
Newton fractal. Visualizing Newton-Raphson convergence to roots of z^n−1=0 in the complex plane. The basin boundaries are fractal.
CLIFFORD
Clifford strange attractor. Two simple equations, four parameters, infinite patterns emerge as millions of points accumulate.
BIFURCATION
Logistic map bifurcation diagram. Period-doubling cascade leads to chaos as r increases. Zoom reveals infinite self-similar structure.
APOLLONIAN
Apollonian gasket. A circle-packing fractal where every gap between tangent circles is recursively filled. Governed by Descartes' Circle Theorem.
HILBERT
Hilbert curve. A 1D curve that fills 2D space without gaps — the convergence of a space-filling curve.
KURAMOTO
Kuramoto model. N oscillators weakly coupled — past the critical point, they spontaneously synchronize.
WIREWORLD
Electron flow in a 4-state cellular automaton. Draw wires and inject signals.
ANTCOLONY
Ant colony optimization. Pheromone trails reinforce over time, spontaneously revealing shortest paths.
PREDPREY
Predator and prey. Fish breed, sharks hunt, and Lotka-Volterra oscillations emerge from three simple rules.
MAGNETPENDULUM
Basin-of-attraction fractal from a 3-magnet pendulum. Tiny differences in starting position lead to completely different outcomes.
GAMETHEORY
Spatial prisoner's dilemma. Cooperators and defectors copy strategies on a grid, generating complex emergent patterns.
PURSUIT
N-point pursuit polygon. Each vertex chases the next at constant speed, and logarithmic spirals emerge.
BILLIARD
Chaos billiards. The stadium table is an ergodic chaotic system; ellipse and circle are integrable. Shape determines the fate of trajectories.
SUPERFORMULA
Superformula. Four parameters — m, n1, n2, n3 — generate flowers, leaves, shells, and snowflakes from a single equation.
SOLITON
Solitons from the KdV equation. Waves pass through each other intact after collision — a nonlinear miracle.
MARBLING
Ink drops fall into fluid and spiral. Mathematical marbling simulation.
PENDULUMWAVE
Pendulums of different periods create collective phase patterns. Full resync every 60 seconds.
TESSERACT
Real-time projection of a 4D hypercube. Six rotation axes reveal geometry beyond three dimensions.
CONFORMAL
Conformal mappings via complex functions. Watch a grid distort smoothly through mathematical transformation.
QUANTUM
Quantum tunneling. A wave packet splits into reflected and transmitted parts — experience the Schrödinger equation.
ORBIT
N-body gravity simulation. Place masses, watch orbits unfold. Collisions and mergers.
PARTICLE LIFE
Attraction and repulsion rules between particle species generate self-organizing clusters, vortices, and creature-like emergent behavior.
HENON
Hénon strange attractor. Fractal orbits of a two-dimensional chaotic map. Tune parameters to cross between order and chaos.
ANNEAL
Simulated annealing solves the Travelling Salesman Problem. Watch a hot chaotic path cool into the shortest route.
DOUBLEPEND
Double pendulum chaos. Nearly identical initial conditions diverge exponentially. Lyapunov instability made visible.
LENIA
Continuous cellular automaton. Life-like creatures emerge from convolution and a growth function alone.
LINKAGE
Four-bar linkage kinematics. A rotating crank drives a coupler whose traced point carves closed algebraic curves.
VORTEX
Point vortex dynamics. Add vortices to watch tracers spiral through the potential flow field — Helmholtz vortex laws made visible.
MOIRÉ
Moiré fringes. Two periodic grids overlap — angular difference generates beat-frequency stripes.
CHAOSGAME
Chaos game. Repeatedly jumping toward random vertices reveals hidden fractals.
EFIELD
Electric field visualization. Place point charges and watch field lines reveal spatial structure.
FLOWFIELD
Particles follow a Perlin noise flow field, tracing organic paths through an evolving vector landscape.
TURING
Turing machine. A head reads, writes, and moves on an infinite tape — the archetype of computation.
DIFFGROW
Differential growth. A closed curve subdivides and repels itself into coral-like organic forms.
MODULAR
Modular multiplication. Connect N points on a circle by multiplier k — cardioids and nephroids emerge.
SLIT
Double-slit experiment. Particles pass through slits one by one, and an interference pattern emerges.
OPTICS
2D geometric optics. Rays reflect off mirrors, painting geometric patterns of light.
EROSION
Hydraulic erosion. Raindrops carve terrain, and rivers and valleys emerge naturally.
Guide (2)
ABOUT
About PULSE. Meet ECHO and NULL.