Jump to content

Gallery of curves: Difference between revisions

From Wikipedia, the free encyclopedia
Browse history interactively
← Previous edit
Content deleted Content added
VisualWikitext
No edit summary
Erukobora (talk | contribs)
154 edits
Changing short description from "Gallery of mathematical curves" to one that is intentionally blank
 
(46 intermediate revisions by 27 users not shown)
Line 1: Line 1:
{{Short description|none}}
This is a '''gallery of [[curve]]s''', by Wikipedia page. See also [[list of curves]].
This is a '''gallery of [[curve]]s''' used in [[mathematics]], by Wikipedia page. See also [[list of curves]].


==[[Algebraic curve]]s==
<gallery>

Image:Ampersandcurve.svg|[[Ampersand curve]]
===Rational curves===
Image:Astroid.svg|[[Astroid]]

Image:Atriph05.svg|[[Atriphtaloid]]
====[[Degree of a polynomial|Degree]] 1====
Image:Bean curve.svg|[[Bean curve]]
<gallery class=center>
Image:Bicorn.svg|[[Bicorn]]
File:FuncionLineal01.svg|[[Line (mathematics)|Line]]
Image:Bicuspid curve.svg|[[Bicuspid curve]]
</gallery>
Image:Bowcurve.svg|[[Bow curve]]

File:Bullet nose curve.svg|[[Bullet-nose curve]]
====Degree 2====
Image:Cardioid.svg|[[Cardioid]]
<gallery class=center>
Image:CIRCLE 1.svg|[[Circle]]
File:Circle-withsegments.svg|[[Circle]]
Image:CissoidOfDiocles01.png|[[Cissoid of Diocles]]
File:Ellipse Properties of Directrix and String Construction.svg|[[Ellipse]]
Image:Conchoid of deSluze.png|[[Conchoid of de Sluze]]
File:Parts of Parabola.svg|[[Parabola]]
Image:Cruciform1.png|[[Cruciform curve]]s
File:Hyperbola properties.svg|[[Hyperbola]]
Image:Cubic_with_double_point.svg|[[Cubic plane curve]]
</gallery>
Image:Spiric section.png|[[Spiric section]]s

Image:Bicorn-inf.jpg|[[transformed bicorn]]
====Degree 3====
Image:Trott.png|[[Trott curve]]
<gallery class=center>
File:CubeChart.svg|[[Cube (algebra)|Cubic curve]]
File:Polynomialdeg3.svg|[[Cubic polynomial]]
File:Kartesisches-Blatt.svg|[[Folium of Descartes]]
File:Cissoide2.svg|[[Cissoid of Diocles]]
File:Conchoid of deSluze.svg|[[Conchoid of de Sluze]]
File:Cubic_with_double_point.svg|[[Cubic plane curve|Cubic with double point]]
File:StrophoidConstruction.svg|[[Strophoid]]
File:Semicubical_parabola.svg|[[Semicubical parabola]]
File:Serpentine_curve.png|[[Serpentine curve]]
File:Trif1111.jpg|[[Trident curve]]
File:MaclaurinTrisectrix.SVG|[[Trisectrix of Maclaurin]]
File:CubiqueTschirnhausen.svg|[[Tschirnhausen cubic]]
File:Witch_of_Agnesi,_a_1,_2,_4,_8.svg|[[Witch of Agnesi]]
</gallery>

====Degree 4====
<gallery class=center>
File:Ampersandcurve.svg|[[Ampersand curve]]
File:Bean_curve.svg|[[Bean curve]]
File:Bicorn.svg|[[Bicorn]]
File:Bicorn-inf.jpg|[[Transformed bicorn]]
File:Bicuspid curve.svg|[[Bicuspid curve]]
File:Bowcurve.svg|[[Bow curve]]
File:Bullet_nose_curve.svg|[[Bullet-nose curve]]
File:Cruciform1.png|[[Cruciform curve]]
File:Deltoid2.gif|[[Deltoid curve]]
File:Devils_curve_a%3D0.8_b%3D1.svg|[[Devil's curve]]
File:PedalCurve1.gif|[[Hippopede]]
File:Kampyle Eudoxus.png|[[Kampyle of Eudoxus]]
File:Kappa_curve_with_asymptotes_-_by_Pt.png|[[Kappa curve]]
File:PedalCurve1.gif|[[Lemniscate of Booth]]
File:Lemniscate-of-Gerono.svg|[[Lemniscate of Gerono]]
File:Lemniscate_of_Bernoulli.svg|[[Lemniscate of Bernoulli]]
File:EpitrochoidIn1.gif|[[Limaçon]]
File:Cardiod_animation.gif|[[Cardioid]]
File:Lima%C3%A7onTrisectrix.svg|[[Limaçon trisectrix]]
File:Quadrifolium.svg|[[Quadrifolium]] (2-[[rose curve|rose]])
File:Spiric section.svg|[[Spiric section]]s
File:Squircle2.svg|[[Squircle]]
File:Three-leaved_clover_polar.svg|[[Quartic plane curve#Three-leaved clover|Trifolium Curve]]
<!-- Commented out: File:Trott.png|[[Trott curve]] -->
</gallery>

====Degree 5====

====Degree 6====
<gallery class=center>
File:HypotrochoidOn4.gif|[[Astroid]]
File:Atriph05.svg|Atriphtaloid
File:Neph0b.png|[[Nephroid]]
File:Quadrifolium.svg|[[Quadrifolium]]
</gallery>

====Families of variable degree====
<gallery class=center>
File:EpitrochoidOn3-generation.gif|[[Epicycloid]]
File:Epispiral.svg|[[Epispiral]]
File:EpitrochoidIn3.gif|[[Epitrochoid]]
File:Deltoid2.gif|[[Hypocycloid]]
File:Lissajous_animation.gif|[[Lissajous curve]]
File:Poinsot1.svg|[[Poinsot's spirals]]
File:7_Petal_rose.svg|[[Rose (mathematics)|Rose curve]]
</gallery>

===Curves of genus one===
<gallery class=center>
File:Bicuspid_curve.svg|[[Bicuspid curve]]
File:Line_of_Cassini.svg|[[Cassini oval]]
File:CubicCurve.svg|[[Cubic curve]]
File:EllipticCurveCatalog.svg|[[Elliptic curve]]
File:Watt_curve_animated.gif|[[Watt's curve]]
</gallery>

===Curves with genus greater than one===
<gallery class=center>
File:Butterfly_curve.png|[[Butterfly curve (algebraic)]]
File:C168.svg|[[Elkies trinomial curves]]
File:Example_of_a_hyperelliptic_curve.svg|[[Hyperelliptic curve]]
File:Order-7 triangular tiling.svg|[[Klein quartic]]
File:Modknot11.png|[[Classical modular curve]]
</gallery>

===Curve families with variable genus===
<gallery class=center>
File:Erdos5.png|[[Polynomial lemniscate|Erdős lemniscate]]
File:Order-7 triangular tiling.svg|[[Hurwitz surface]]
File:Mandelcurve2.png|[[Polynomial lemniscate|Mandelbrot curve]]
File:Cyc7.png|[[Polynomial lemniscate]]
File:Sinusoidal_spirals.svg|[[Sinusoidal spiral]] <!-- Not actually a spiral -->
File:Superellipse_chamfered_square.svg|[[Superellipse]]
</gallery>

==Transcendental curves==
<gallery class=center>
File:Lissajous_curve_5by4.svg|[[Bowditch curve]]
File:Brachistochrone.svg|[[Brachistochrone]]
File:Butterfly transcendental curve.svg|[[Butterfly curve (transcendental)]]
File:Catenary-pm.svg|[[Catenary]]
File:Clelies_curve.png|[[Clélies]]
File:Cochleoid.svg|[[Cochleoid]]
File:Cycloid_f.gif|[[Cycloid]]
File:Horopter.png|[[Horopter]]
File:Tautochrone_curve.gif|[[Isochrone curve|Isochrone]]
File:Four_point_pursuit_curve.gif|[[Pursuit curve]]
File:Loxodrome.png|[[Rhumb line]]
File:Syntractrix_a%3D0.5_b%3D1.png|[[Syntractrix]]
File:Tractrix.png|[[Tractrix]]
File:Cycloids.svg|[[Trochoid]]
</gallery>

=== Spirals ===
<gallery class=center>
File:Archimedean_spiral_polar.svg|[[Archimedean spiral]]
File:Euler_spiral.svg|[[Cornu spiral]]
File:Fermat%27s_spiral.svg|[[Fermat's spiral]]
File:Hyperspiral.svg|[[Hyperbolic spiral]]
File:Lituus.svg|[[Lituus (mathematics)|Lituus]]
File:Logarithmic_Spiral_Pylab.svg|[[Logarithmic spiral]]
</gallery>

==Piecewise constructions==
<gallery class=center>
File:Maurer_roses.svg|[[Maurer rose]]
File:ReuleauxTriangle.svg|[[Reuleaux triangle]]
</gallery>

==Fractal curves==
<gallery class=center>
File:Blancmange-function.svg|[[Blancmange curve]]
File:Cesaro-0.5.png|[[De Rham curve]]
File:Fractal_dragon_curve.jpg|[[Dragon curve]]
File:KochFlake.svg|[[Koch snowflake|Koch curve]]
File:Levy_C_construction.png|[[Lévy C curve]]
File:Peanocurve.svg|[[Peano curve]]
File:Sierpinski-Curve-3.png|[[Sierpiński curve]]
</gallery>
</gallery>


<!--other possibilities
<!--other possibilities
[[Ellipse]]
[[Parabola]]
[[Hyperbola]]
[[Crooked egg curve]]
[[Crooked egg curve]]
[[Cruciform curve]]
[[Cruciform curve]]
[[Deltoid curve]]
[[Deltoid curve]]
[[Devil's curve]]
[[Devil's curve]]
[[Epicycloid]]
[[Epitrochoid]]
[[Folium of Descartes]]
[[Folium of Descartes]]
[[Hessian curve]]
[[Hessian curve]]
[[Hippopede]]
[[Hippopede]]
[[Hypocycloid]]
[[Kampyle of Eudoxus]]
[[Kampyle of Eudoxus]]
[[Kappa curve]]
[[Kappa curve]]
Line 166: Line 297:


==External links==
==External links==
* [http://xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html Visual Dictionary of Special Plane Curves]
* [http://xahlee.info/SpecialPlaneCurves_dir/specialPlaneCurves.html Visual Dictionary of Special Plane Curves]

{{Curves}}


[[Category:Curves|*]]
[[Category:Curves|*]]
[[Category:Image galleries]]

Latest revision as of 01:55, 24 July 2024

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

Algebraic curves

[edit]

Rational curves

[edit]

Degree 1

[edit]

Degree 2

[edit]

Degree 3

[edit]

Degree 4

[edit]

Degree 5

[edit]

Degree 6

[edit]

Families of variable degree

[edit]

Curves of genus one

[edit]

Curves with genus greater than one

[edit]

Curve families with variable genus

[edit]

Transcendental curves

[edit]

Spirals

[edit]

Piecewise constructions

[edit]

Fractal curves

[edit]


[edit]
Retrieved from "https://en.wikipedia.org/enwiki/w/index.php?title=Gallery_of_curves&oldid=1236318016"