Hypotrochoid

An interactive hypotrochoid — the curve traced by a point attached to a circle rolling inside a larg...

Archimedean Spiral

An interactive Archimedean spiral, the curve swept out by a point moving away from a fixed center at...

Watt's Curve

An interactive Watt's curve, the tricircular sextic traced by the midpoint of a connecting rod linki...

Hilbert Curve

An interactive Hilbert curve — a continuous fractal space-filling curve that visits every cell of a...

Fermat's Spiral

An interactive Fermat's spiral (parabolic spiral), a symmetric two-armed spiral whose radius grows w...

Cardioid

An interactive cardioid — a heart-shaped curve traced by a point on a circle rolling around another...

Cycloid

An interactive cycloid — the path traced by a point on the rim of a circle as it rolls along a strai...

Logarithmic Spiral

An interactive logarithmic spiral — the self-similar spiral seen in nautilus shells and spiral galax...

Rose Curve

An interactive rose curve (rhodonea) — a flower-shaped family of polar curves whose petal count is c...

Lissajous Curve

An interactive Lissajous curve — the looping pattern traced when two perpendicular oscillations of d...

Epicycloid

An interactive epicycloid — the curve traced by a point on a circle rolling around the outside of a...

Spiral of Theodorus

An interactive Spiral of Theodorus — a spiral built entirely out of right triangles, each with a leg...

Cissoid of Diocles

An interactive Cissoid of Diocles — an ancient curve, originally devised to solve the problem of dou...

Folium of Descartes

An interactive Folium of Descartes — a looping curve named for René Descartes, whose leaf-shaped loo...

Witch of Agnesi

An interactive Witch of Agnesi — a bell-shaped curve generated from a circle, named after the 18th-c...

Trisectrix of Maclaurin

An interactive Trisectrix of Maclaurin — a curve built to solve the classical problem of trisecting...

Lemniscate of Bernoulli

An interactive Lemniscate of Bernoulli — a figure-eight curve where the product of distances from tw...

Peano Curve

An interactive Peano curve — the first space-filling curve ever discovered, published by Giuseppe Pe...

Koch Snowflake

An interactive Koch Snowflake — a closed fractal curve of infinite length wrapped around a finite ar...

Dragon Curve

An interactive Dragon Curve (Heighway dragon) — the fractal curve you get by repeatedly folding a st...