Curve Catalog
Browse the built-in curves. Each curve has unique geometry, period, and behavior. Click any curve to see the details of its equation, parameters, and a live preview.
Available Curves
Standard
Some of the well-known and well-documented curves with easy to find mathematical definitions.
A three-petaled rose curve traced by a point moving along a line rotating around the origin.
A five-petaled rose curve, exploring how mathematical parameters create natural beauty.
A 5-petaled rose curve with a fractional n=5/2, requiring two full revolutions to complete.
A hypocycloid with 4 sharp cusps, forming a star-like shape within a square boundary.
A 3-cusped hypocycloid tracing a triangular-like curve with curved sides.
A classic Lissajous figure where the 3:2 frequency ratio creates elegant looping patterns.
The harmonic dance of two perpendicular oscillations creates this mesmerizing curve family.
A 3-pointed star shape created by a point on a circle rolling around the outside of another circle.
A roulette tracing 7 lobes with an animated distance parameter that creates organic, undulating motion.
A 5-pointed star shape built from Fourier harmonics in polar coordinates.
A 4-pointed star shape built from Fourier harmonics in polar coordinates.
A 7-pointed star shape built from Fourier harmonics in polar coordinates.
A family of superellipses discovered by Gabriel Lamé in 1818, smoothly transitioning between squares and circles.
Iconic
These are mainly tributes to the impactful happenings of nature, humanity and universe. A recreation of shapes from the real world, whose silhouttes carry a deeper meaning beyond their mathematical equations.