What does Astroid mean?
Definitions for Astroid
as·troid
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Astroid.
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Wiktionary
astroidnoun
A hypocycloid with four cusps.
Wikipedia
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 defined as the envelope of a line segment of fixed length that moves while keeping an end point on each of the axes. It is therefore the envelope of the moving bar in the Trammel of Archimedes. Its modern name comes from the Greek word for "star". It was proposed, originally in the form of "Astrois", by Joseph Johann von Littrow in 1838. 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.
Wikidata
Astroid
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 equation Its modern name comes from the Greek word for "star". The curve had a variety of names, including tetracuspid, 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. The polar equation is and the parametric equations are The astroid is a real locus of a plane algebraic curve of genus zero. It has the equation The 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.
Numerology
Chaldean Numerology
The numerical value of Astroid in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of Astroid in Pythagorean Numerology is: 5
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"Astroid." Definitions.net. STANDS4 LLC, 2024. Web. 12 Jun 2024. <https://www.definitions.net/definition/Astroid>.
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