Gallery
Every clip below started as one plain-language prompt - press play and watch it render. The prompt is printed on each card; try to guess it before it plays.
38 scenes
Sine from a circle
“trace a sine wave from a rotating circle”
Area under a curve
“shade the Riemann sum under a parabola”
Vector field flow
“animate a rotational vector field”
Eigenvectors
“show which vectors keep their direction”
Pythagorean proof
“prove a²+b² = c² by rearranging squares”
Bell curve
“build a normal distribution from samples”
Tangent line
“sweep the tangent along a cubic”
Matrix transform
“shear a grid with a 2×2 matrix”
Spiral of primes
“plot primes on an Ulam spiral”
Square wave from circles
“build a square wave by stacking spinning circles”
The Lorenz butterfly
“trace the Lorenz attractor”
Butterfly effect
“nudge a double pendulum by 0.001 radians”
Sunflower spiral
“grow a sunflower with the golden angle”
Taylor series
“approximate sin(x) with polynomials”
Interference
“ripple two waves through each other”
The Mandelbrot set
“render the Mandelbrot set line by line”
Three-body ballet
“make three planets orbit in a figure-8”
Times-table cardioid
“connect n to 2n around a circle, then sweep”
Route to chaos
“sweep r through the logistic map”
Random walks
“flip coins and show the √n envelope”
Estimating π with darts
“throw random darts at a square, count the circle”
Euler's identity
“walk e^iθ around the unit circle to −1”
Hailstone numbers
“race five Collatz sequences down to 1”
Koch snowflake
“bend every edge into four, forever”
Sieve of Eratosthenes
“cross out the multiples, keep the primes”
The limit definition
“slide h to zero until the secant kisses the curve”
Golden spiral
“tile Fibonacci squares and sweep the spiral”
Game of Life
“run Conway's rules on gliders and blinkers”
Hilbert curve
“fill a square with one unbroken line”
A fern from dice
“roll four matrices at random until a fern grows”
Apollonian gasket
“pack a circle with circles until the gaps run out”
Julia set, breathing
“walk c around a circle and morph the set”
Newton's basins
“color every start by the root it falls into”
Domain coloring
“paint a complex function by its angle”
Square to hypercube
“unfold a square into 3D, then into 4D”
Flocking
“give 130 birds three rules, then add a hawk”
Turing patterns
“let two chemicals fight until stripes appear”
Galaxy collision
“throw two galaxies through each other”