Editing List of mathematical shapes (section)

==[[Algebraic curve]]s==
{{Main|List of curves}}
*[[Cubic plane curve]]
*[[Quartic plane curve]]
*[[Fractal]]

===Rational curves===

====Degree 2====
*[[Conic section]]s
*[[Unit circle]]
*[[Unit hyperbola]]

====Degree 3====
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*[[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]]
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====Degree 4====
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*[[Ampersand curve]]
*[[Bean curve]]
*[[Bicorn]]
*[[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]]
*[[Trifolium curve]]{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
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====Degree 5====
*[[Quintic of l'Hospital]]<ref>{{Cite web |url=http://www.mathcurve.com/courbes2d/quintique%20de%20l'hospital/quintique%20de%20l'hospital.shtml |title=Courbe a Réaction Constante, Quintique De L'Hospital |trans-title=Constant Reaction Curve, Quintic of l'Hospital}}</ref>

====Degree 6====
*[[Astroid]]
*Atriphtaloid
*[[Nephroid]]
*[[Quadrifolium]]

====Families of variable degree====
*[[Epicycloid]]
*[[Epispiral]] <!-- Not actually a spiral -->
*[[Epitrochoid]]
*[[Hypocycloid]]
*[[Lissajous curve]]
*[[Poinsot's spirals]] <!-- Not actually spirals -->
*[[Rational normal curve]]
*[[Rose (mathematics)|Rose curve]]

===Curves of genus one===
*[[Bicuspid curve]]
*[[Cassini oval]]
*[[Cassinoide]]
*[[Cubic curve]]
*[[Elliptic curve]]
*[[Watt's curve]]

===Curves with genus greater than one===
*[[Butterfly curve (algebraic)|Butterfly curve]]
*[[Elkies trinomial curves]]
*[[Hyperelliptic curve]]
*[[Klein quartic]]
*[[Classical modular curve]]
*[[Bolza surface]]
*[[Macbeath surface]]

===Curve families with variable genus===
*[[Polynomial lemniscate]]
*[[Fermat curve]]
*[[Sinusoidal spiral]] <!-- Not actually a spiral -->
*[[Superellipse]]
*[[Hurwitz surface]]