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- Astroid abstract "An astroid is a particular mathematical curve: a hypocycloid with four cusps. Astroids are also superellipses: all astroids are scaled versions of the curve specified by the equationIts modern name comes from the Greek word for "star". The curve had a variety of names, including tetracuspid (still used), cubocycloid, and paracycle. It is nearly identical in form to the evolute of an ellipse.A circle of radius 1/4 rolls around inside a circle of radius 1 and a point on its circumference traces an astroid. A line segment of length 1 slides with one end on the x-axis and the other on the y-axis, so that it is tangent to the astroid (which is therefore an envelope). The polar equation isand the parametric equations areThe astroid is a real locus of a plane algebraic curve of genus zero. It has the equationThe astroid is therefore of degree six, and has four cusp singularities in the real plane, the points on the star. It has two more complex cusp singularities at infinity, and four complex double points, for a total of ten singularities.The dual curve to the astroid is the cruciform curve with equation The evolute of an astroid is an astroid twice as large.An astroid created by a circle rolling inside a circle of radius will have an area of and a perimeter of 6a.".
- Astroid thumbnail Astroid.svg?width=300.
- Astroid wikiPageExternalLink BarsOfAnAstroid.
- Astroid wikiPageExternalLink Astroid.html.
- Astroid wikiPageExternalLink roulettea.html.
- Astroid wikiPageExternalLink astroid.shtml.
- Astroid wikiPageExternalLink astroid.html.
- Astroid wikiPageID "769163".
- Astroid wikiPageRevisionID "599728316".
- Astroid hasPhotoCollection Astroid.
- Astroid id "p/a013540".
- Astroid title "Astroid".
- Astroid urlname "Astroid".
- Astroid subject Category:Sextic_curves.
- Astroid type Abstraction100002137.
- Astroid type Attribute100024264.
- Astroid type Curve113867641.
- Astroid type Line113863771.
- Astroid type SexticCurves.
- Astroid type Shape100027807.
- Astroid comment "An astroid is a particular mathematical curve: a hypocycloid with four cusps. Astroids are also superellipses: all astroids are scaled versions of the curve specified by the equationIts modern name comes from the Greek word for "star". The curve had a variety of names, including tetracuspid (still used), cubocycloid, and paracycle.".
- Astroid label "Astroid".
- Astroid label "Astroide".
- Astroid label "Astroide".
- Astroid label "Astroide".
- Astroid label "Astroïde".
- Astroid label "Astroïde".
- Astroid label "Астроида".
- Astroid label "アステロイド (曲線)".
- Astroid label "星形线".
- Astroid sameAs Astroide.
- Astroid sameAs Astroide.
- Astroid sameAs Astroïde.
- Astroid sameAs Astroide.
- Astroid sameAs アステロイド_(曲線).
- Astroid sameAs 아스트로이드.
- Astroid sameAs Astroïde.
- Astroid sameAs m.039zsw.
- Astroid sameAs Q739762.
- Astroid sameAs Q739762.
- Astroid sameAs Astroid.
- Astroid wasDerivedFrom Astroid?oldid=599728316.
- Astroid depiction Astroid.svg.
- Astroid isPrimaryTopicOf Astroid.