mader.xyzUlm, Germany
The lab · 19 simulations · 6 domains

Physics you can touch

Every entry is a running program: written in Rust, compiled to WebAssembly, computed live in your browser. Open one, change the parameters, break it.

01Orbits and gravity

6 simulations
Three-body problem Leapfrog Figure-eight orbit Leapfrog Sun, Earth and Moon Leapfrog Lagrange points Leapfrog Galaxy collision Leapfrog Projectile motion Velocity Verlet
Three-body problem Three equal masses, no closed solution, quickly chaotic. Leapfrog Figure-eight orbit Three bodies chasing each other along one shared figure eight. Leapfrog Sun, Earth and Moon A moon orbiting a planet orbiting a star, to scale in time. Leapfrog Lagrange points The five points where a small body can ride along with two large ones. Leapfrog Galaxy collision Two disk galaxies merging, with tidal tails. Leapfrog Projectile motion Throwing parabolas, with and without air drag. Velocity Verlet
Three-body problem Three equal masses, no closed solution, quickly chaotic.
Method
Parameters
Presets
Leapfrog
14
4
Open simulation Figure-eight orbit Three bodies chasing each other along one shared figure eight.
Method
Parameters
Presets
Leapfrog
14
2
Open simulation Sun, Earth and Moon A moon orbiting a planet orbiting a star, to scale in time.
Method
Parameters
Presets
Leapfrog
17
3
Open simulation Lagrange points The five points where a small body can ride along with two large ones.
Method
Parameters
Presets
Leapfrog
14
4
Open simulation Galaxy collision Two disk galaxies merging, with tidal tails.
Method
Parameters
Presets
Leapfrog
12
1
Open simulation Projectile motion Throwing parabolas, with and without air drag.
Method
Parameters
Presets
Velocity Verlet
8
3
Open simulation

02Chaos and oscillators

9 simulations
Double pendulum Runge-Kutta 4 Pendulum Runge-Kutta 4 Magnetic pendulum Runge-Kutta 4 Kapitza pendulum Runge-Kutta 4 Lorenz attractor Runge-Kutta 4 Van der Pol oscillator Runge-Kutta 4 Standard map Iterated map Phase portraits ODE Lissajous figures Runge-Kutta 4
Double pendulum Two linked pendulums, the classic picture of chaos. Runge-Kutta 4 Pendulum One pendulum, beyond the small-angle approximation. Runge-Kutta 4 Magnetic pendulum Which of three magnets does it settle on? A fractal answer. Runge-Kutta 4 Kapitza pendulum Shake the pivot fast enough and the pendulum stands upside down. Runge-Kutta 4 Lorenz attractor Three equations from convection, and the butterfly effect. Runge-Kutta 4 Van der Pol oscillator Self-sustained oscillation settling onto a limit cycle. Runge-Kutta 4 Standard map A kicked rotor, islands of order in a chaotic sea. Iterated map Phase portraits Draw any 2D system and watch its flow. ODE Lissajous figures Two perpendicular oscillations and their ratio. Runge-Kutta 4
Double pendulum Two linked pendulums, the classic picture of chaos.
Method
Parameters
Presets
Runge-Kutta 4
15
4
Open simulation Pendulum One pendulum, beyond the small-angle approximation.
Method
Parameters
Presets
Runge-Kutta 4
10
4
Open simulation Magnetic pendulum Which of three magnets does it settle on? A fractal answer.
Method
Parameters
Presets
Runge-Kutta 4
8
4
Open simulation Kapitza pendulum Shake the pivot fast enough and the pendulum stands upside down.
Method
Parameters
Presets
Runge-Kutta 4
5
4
Open simulation Lorenz attractor Three equations from convection, and the butterfly effect.
Method
Parameters
Presets
Runge-Kutta 4
7
3
Open simulation Van der Pol oscillator Self-sustained oscillation settling onto a limit cycle.
Method
Parameters
Presets
Runge-Kutta 4
6
4
Open simulation Standard map A kicked rotor, islands of order in a chaotic sea.
Method
Parameters
Presets
Iterated map
1
5
Open simulation Phase portraits Draw any 2D system and watch its flow.
Method
Parameters
Presets
ODE
7
6
Open simulation Lissajous figures Two perpendicular oscillations and their ratio.
Method
Parameters
Presets
Runge-Kutta 4
7
9
Open simulation

03Patterns and reaction-diffusion

1 simulation
Gray-Scott Reaction-diffusion
Gray-Scott Two chemicals producing spots, stripes and dividing cells. Reaction-diffusion
Gray-Scott Two chemicals producing spots, stripes and dividing cells.
Method
Parameters
Presets
Reaction-diffusion
8
8
Open simulation

04Cellular automata

1 simulation
Game of Life Cellular automaton
Game of Life Conway's four rules and everything that grows from them. Cellular automaton
Game of Life Conway's four rules and everything that grows from them.
Method
Parameters
Presets
Cellular automaton
4
6
Open simulation

05Collective behavior

1 simulation
Boids Agent-based
Boids Flocking from three local rules. Agent-based
Boids Flocking from three local rules.
Method
Parameters
Presets
Agent-based
22
5
Open simulation

06Waves, fields and quantum

1 simulation
Double slit Field solver
Double slit Two openings, one interference pattern. Field solver
Double slit Two openings, one interference pattern.
Method
Parameters
Presets
Field solver
4
5
Open simulation