List of curves
This is a list of Wikipedia articles about curves used in different fields: mathematics (including geometry, statistics, and applied mathematics), physics, engineering, economics, medicine, biology, psychology, ecology, etc.
Mathematics (Geometry)
Rational curves
Rational curves are subdivided according to the degree of the polynomial.
Degree 1
Degree 2
Plane curves of degree 2 are known as conics or conic sections and include
Degree 3
Cubic plane curves include
Degree 4
Quartic plane curves include
Degree 6
Curve families of variable degree
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
Transcendental curves
- Bowditch curve
- Brachistochrone
- Butterfly curve (transcendental)
- Catenary
- Clélies
- Cochleoid
- Cycloid
- Horopter
- Isochrone
- Isochrone of Huygens (Tautochrone)
- Isochrone of Leibniz
- Isochrone of Varignon
- Lamé curve
- Pursuit curve
- Rhumb line
- Sinusoid
- Spirals
- Syntractrix
- Tractrix
- Trochoid
Piecewise constructions
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
- Slinky spiral
- 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
- Orthotomic
- Parallel curve
- Pedal curve
- Radial curve
- Roulette
- Strophoid
Applied Mathematics/Statistics/Physics/Engineering
Economics/Business
Medicine/Biology
Psychology
Ecology
External links
- Famous Curves Index
- Two Dimensional Curves
- A Visual Directory of Special Plane Curves
- Curves and Surfaces Index (Harvey Mudd College)
- National Curve Bank
- "Courbes 2D" at Encyclopédie des Formes Mathématiques Remarquables
- "Courbes 3D" at Encyclopédie des Formes Mathématiques Remarquables
- An elementary treatise on cubic and quartic curves by Alfred Barnard Basset (1901) online at Google Books
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