List of curves

===Algebraic curves=== Rational curves Rational curves are subdivided according to the degree of the polynomial. Degree 1 • Line Degree 2 Plane curves of degree 2 are known as conics or conic sections and include • Circle • Unit circle • Ellipse • Parabola • Hyperbola • Unit hyperbola Degree 3 Cubic plane curves include • Cubic parabola • Folium of Descartes • Cissoid of Diocles • Conchoid of de Sluze • Right strophoid • Semicubical parabola • Serpentine curve • Trident curve • Trisectrix of Maclaurin • Tschirnhausen cubic • Witch of Agnesi Degree 4 Quartic plane curves include • Ampersand curve • Bean curve • Bicorn • Bow curve • Bullet-nose curve • Cartesian oval • Conchoid of Dürer • Cruciform curve • Deltoid curve • Devil's curve • Hippopede • Kampyle of Eudoxus • Kappa curve • Lemniscate • Lemniscate of Booth • Lemniscate of Gerono • Lemniscate of Bernoulli • Limaçon • Cardioid • Limaçon trisectrix • Ovals of Cassini • Squircle • Three-leaved clover Degree 5 Degree 6 • Astroid • Atriphtaloid • Nephroid • Quadrifolium Curve families of variable degree • Epicycloid • Epispiral • Epitrochoid • Hypocycloid • Hypotrochoid • Lissajous curve • Poinsot's spirals • Rational normal curve • Rose curve Curves with genus 1 • Bicuspid curve • Cassinoide • Cubic curve • Elliptic curve • Watt's curve Curves with genus > 1 • Bolza surface (genus 2) • Klein quartic (genus 3) • Bring's curve (genus 4) • Macbeath surface (genus 7) • Butterfly curve (algebraic) (genus 7) Curve families with variable genus • Polynomial lemniscate • Fermat curve • Sinusoidal spiral • Superellipse • Hurwitz surface • Elkies trinomial curves • Hyperelliptic curve • Classical modular curve • Cassini oval Transcendental curves • Bowditch curve • Brachistochrone • Butterfly curve (transcendental) • Catenary • Clélies • Cochleoid • Cycloid • Horopter • Isochrone • Isochrone of Huygens (Tautochrone) • Isochrone of Leibniz**Isochrone of Varignon[https://web.archive.org/web/20041113201905/http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon • Lamé curve • Pursuit curve • Rhumb line • Sinusoid • Spirals • Archimedean spiral • Cornu spiral • Cotes' spiral • Fermat's spiral • Galileo's spiral **Hyperbolic spiral • Lituus • Logarithmic spiral • Nielsen's spiral • Syntractrix • Tractrix • Trochoid Piecewise constructions • Bézier curve • Loess curve • Lowess • Ogee • Polygonal curve • Maurer rose • Reuleaux triangle • Stadium • Splines • B-spline • Nonuniform rational B-spline Fractal curves • Blancmange curve • De Rham curve • Dragon curve • Koch curve • Lévy C curve • Sierpiński curve • Space-filling curve (Peano curve) See also List of fractals by Hausdorff dimension. Space curves/Skew curves • Conchospiral • Helix • Hemihelix, a quasi-helical shape characterized by multiple tendril perversions • Tendril perversion (a transition between back-to-back helices) • Seiffert's spiral [http://mathworld.wolfram.com/SeiffertsSphericalSpiral.html • Slinky spiral • Space cardioid • Twisted cubic • Viviani's curve Curves generated by other curves • Caustic including Catacaustic and Diacaustic • Cissoid • Conchoid • Evolute • Glissette • Inverse curve • Involute • Isoptic including Orthoptic • Negative pedal curve • Fish curve • Orthotomic • Parallel curve • Pedal curve • Radial curve • Roulette • Strophoid ==Applied Mathematics/Statistics/Physics/Engineering==