A Disappearing Number: Difference between revisions

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[[Image:Swastika curve.svg|right|thumb|349px|The swastika curve.]]
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The '''swastika curve''' is the name given by Cundy and Rollett<ref>''Mathematical Models'' by [[Martyn Cundy|H. Martyn Cundy]] and A.P. Rollett, second edition, 1961 (Oxford University Press), p. 71.</ref> to the [[quartic curve|quartic]] [[plane curve]] with the [[Cartesian coordinates|Cartesian]] equation
 
:<math> y^4-x^4 = xy,\, </math>
 
or, equivalently, the [[polar coordinates|polar]] equation
 
:<math>r^2 = - \tan(2\theta)/2. \,</math>
 
The curve looks similar to the right-handed [[swastika]], but can be inverted with respect to a unit circle to resemble a left-handed swastika. The Cartesian equation then becomes
 
:<math> x^4 - y^4 = xy. \,</math>
 
<references/>
==External links==
* [http://mathworld.wolfram.com/SwastikaCurve.html Mathworld Article]
 
[[Category:Curves]]

Revision as of 20:45, 5 February 2014

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