Arachnida
Arachnida
Also known as araneidan, this curve owes its name to its spider-like shape. It is given by the polar equation
![画像: r=a(sin(ntheta))/(sin[(n-1)theta]),](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/Arachnida/NumberedEquation1.svg){kind=link}
where a>0 and n>2 is an integer (right figure). An alternate version of the araneidan has the slightly different polar equation
![画像: r=a(sin(ntheta))/(sin[(n+1)theta]),](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/Arachnida/NumberedEquation2.svg){kind=link}
where a>0 and n>1 is an integer (left figure).
This entry contributed by Margherita Barile
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References
Shikin, E. V. Handbook and Atlas of Curves. Boca Raton, FL: CRC Press, pp. 76-78, 1995.Referenced on Wolfram|Alpha
ArachnidaCite this as:
Barile, Margherita. "Arachnida." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Arachnida.html