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]]

Latest revision as of 03:03, 19 September 2014

Hi there. Let me start by introducing the writer, her title is Sophia Boon but she never truly favored that title. Credit authorising is where my main earnings comes from. One of the things she enjoys most is canoeing and she's been doing it for quite a whilst. For a whilst I've been in Mississippi but now I'm considering other options.

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