Gallery of curves

Short description: Gallery of mathematical curves

This is a gallery of curves used in mathematics, by Wikipedia page. See also list of curves.

## Contents

* 1 Algebraic curves
* 1.1 Rational curves
* 1.1.1 Degree 1
* 1.1.2 Degree 2
* 1.1.3 Degree 3
* 1.1.4 Degree 4
* 1.1.5 Degree 5
* 1.1.6 Degree 6
* 1.1.7 Families of variable degree
* 1.2 Curves of genus one
* 1.3 Curves with genus greater than one
* 1.4 Curve families with variable genus
* 2 Transcendental curves
* 2.1 Spirals
* 3 Piecewise constructions
* 4 Fractal curves
* 5 External links

## Algebraic curves

### Rational curves

#### Degree 1

* Line

#### Degree 2

* Circle

* Ellipse

* Parabola

* Hyperbola

#### Degree 3

* Cubic curve

* Cubic polynomial

* Folium of Descartes

* Cissoid of Diocles

* Conchoid of de Sluze

* Cubic with double point

* Strophoid

* Semicubical parabola

* Serpentine curve

* Trident curve

* Trisectrix of Maclaurin

* Tschirnhausen cubic

* Witch of Agnesi

#### Degree 4

* Ampersand curve

* Bean curve

* Bicorn

* Transformed bicorn

* Bicuspid curve

* Bow curve

* Bullet-nose curve

* Cruciform curve

* Deltoid curve

* Devil's curve

* Hippopede

* Kampyle of Eudoxus

* Kappa curve

* Lemniscate of Booth

* Lemniscate of Gerono

* Lemniscate of Bernoulli

* Limaçon

* Cardioid

* Limaçon trisectrix

* Quadrifolium (2-rose)

* Spiric sections

* Squircle

* Trifolium Curve

#### Degree 5

#### Degree 6

* Astroid

* Atriphtaloid

* Nephroid

* Quadrifolium

#### Families of variable degree

* Epicycloid

* Epispiral

* Epitrochoid

* Hypocycloid

* Lissajous curve

* Poinsot's spirals

* Rose curve

### Curves of genus one

* Bicuspid curve

* Cassini oval

* Cubic curve

* Elliptic curve

* Watt's curve

### Curves with genus greater than one

* Butterfly curve (algebraic)

* Elkies trinomial curves

* Hyperelliptic curve

* Klein quartic

* Classical modular curve

### Curve families with variable genus

* Erdős lemniscate

* Hurwitz surface

* Mandelbrot curve

* Polynomial lemniscate

* Sinusoidal spiral

* Superellipse

## Transcendental curves

* Bowditch curve

* Brachistochrone

* Butterfly curve (transcendental)

* Catenary

* Clélies

* Cochleoid

* Cycloid

* Horopter

* Isochrone

* Pursuit curve

* Rhumb line

* Syntractrix

* Tractrix

* Trochoid

### Spirals

* Archimedean spiral

* Cornu spiral

* Fermat's spiral

* Hyperbolic spiral

* Lituus

* Logarithmic spiral

## Piecewise constructions

* Maurer rose

* Reuleaux triangle

## Fractal curves

* Blancmange curve

* De Rham curve

* Dragon curve

* Koch curve

* Lévy C curve

* Peano curve

* Sierpiński curve

## External links

* Visual Dictionary of Special Plane Curves

* v
* t
* e

Spirals, curves and helices

Curves|

* Algebraic
* Curvature
* Gallery
* List
* Topics

Helices|

* Angle
* Antenna
* Boerdijk–Coxeter
* Hemi
* Symmetry
* Triple

| Biochemistry|

* 310
* Alpha
* Beta
* Double
* Pi
* Polyproline
* Super
* Triple
* Collagen

|

Spirals|

* Archimedean
* Cotes's
* Epispiral
* Hyperbolic
* Poinsot's
* Euler
* Fermat's
* Golden
* Involute
* List
* Logarithmic
* On Spirals
* Theodorus

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