Interactive Math Curves
Every interactive curve on Math Tools, in one place — spirals, roulettes, and space-filling curves, each rendered live with JSXGraph so you can drag its control points and watch the shape update. Pick a curve below to explore it.
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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...