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| <!-- [[Image:Animated construction of butterfly curve.gif|left|thumb|150px|An animated construction gives an idea of the complexity of the [[curve]] (''Click for enlarged version'').]] -->
| | The writer's name is Christy. It's not a common factor but what she likes performing is to play domino but she doesn't have the time recently. I've always loved living in Alaska. Office supervising is exactly where her main earnings comes from but she's already utilized for another one.<br><br>Here is my weblog; phone psychic ([http://www.chk.woobi.co.kr/xe/?document_srl=346069 chk.woobi.co.kr]) |
| [[Image:Butterfly trans01.svg|thumb|250px|The butterfly curve.]]
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| The '''butterfly curve''' is a [[Transcendental function|transcendental]] [[plane curve]] discovered by [[Temple H. Fay]]. The curve is given by the following [[parametric equation]]s:
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| :<math>x = \sin(t) \left(e^{\cos(t)} - 2\cos(4t) - \sin^5\left({t \over 12}\right)\right)</math>
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| :<math>y = \cos(t) \left(e^{\cos(t)} - 2\cos(4t) - \sin^5\left({t \over 12}\right)\right)</math>
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| or by the following [[polar equation]]:
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| :<math>r=e^{\cos \theta} - 2 \cos (4 \theta ) + \sin^5\left(\frac{2 \theta - \pi}{24}\right)</math>
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| {{clear}}
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| ==See also==
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| * [[Butterfly curve (algebraic)]]
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| ==References==
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| *{{cite journal
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| | first = Temple H.
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| | last = Fay
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| |date=May 1989
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| | title = The Butterfly Curve
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| | journal = Amer. Math. Monthly
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| | volume = 96
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| | issue = 5
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| | pages = 442–443
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| | doi = 10.2307/2325155
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| | jstor=2325155}}
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| *{{MathWorld|title=Butterfly Curve|urlname=ButterflyCurve}}
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| ==External links==
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| * An animation based on the butterfly curve: [http://www.freaknet.org/alpt/misc/ganim_video.avi video]. The script to reproduce it with gnuplot : [http://www.freaknet.org/alpt/src/misc/ganim.sh script]
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| [[Category:Curves]]
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| {{geometry-stub}}
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Revision as of 11:03, 1 March 2014
The writer's name is Christy. It's not a common factor but what she likes performing is to play domino but she doesn't have the time recently. I've always loved living in Alaska. Office supervising is exactly where her main earnings comes from but she's already utilized for another one.
Here is my weblog; phone psychic (chk.woobi.co.kr)