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Astroid

In mathematics, an astroid is a particular type of roulette curve: a hypocycloid with four cusps. Specifically, it is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius. By double generation, it is also the locus of a point on a circle as it rolls inside a fixed circle with 4/3 times the radius. It can also be…

Art, Equations & Properties

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Astroid

Nodes27
Edges26
Triples37
Avg. degree1.93
Density0.074074
Components1

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Astroid

Top relations

related to References · 16
Astroid → Ann Arbor, Curious, Curves, Dennis Lawrence, Dover Publications, Edwards, Handbook, Interesting Geometry, ISBN, MI, New York, Penguin Books, The Penguin Dictionary, Their Properties, Wells, Yates
related to External links · 11
Astroid → Curves, Dictionary Of Special Plane, EMS Press, Encyclopedia, Mathematics, Remarkable Mathematical FormsArticle, Sándor Kabai, The Encyclopedia, The MacTutor History, The Wolfram Demonstrations Project, Xah LeeBars
is a · 3
Astroid → cruciform curve with equation x 2 y 2, particular type of roulette curve, real locus of a plane algebraic curve of genus zero
related to Equations · 3
Astroid → If, Parametric, This
related to Properties · 2
Astroid → It, The
see also · 2
Astroid → Cardioid, Wohlfarth

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Important terminology

displaystyle curve equation fixed also left right four point locus radius circle rolls envelope cos sin plane -a end therefore

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Astroidis aparticular type of roulette curve0.90text
Astroidis areal locus of a plane algebraic curve of genus zero0.90text
Astroidis acruciform curve with equation x 2 y 20.90text
Astroidrelated to EquationsIf0.60section
Astroidrelated to EquationsThis0.60section
Astroidrelated to EquationsParametric0.60section
Astroidrelated to External linksEncyclopedia0.60section
Astroidrelated to External linksMathematics0.60section
Astroidrelated to External linksEMS Press0.60section
Astroidrelated to External linksThe MacTutor History0.60section
Astroidrelated to External linksThe Encyclopedia0.60section
Astroidrelated to External linksRemarkable Mathematical FormsArticle0.60section

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    Min side: 3
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