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| [[File:Mandelbar fractal from XaoS.PNG|thumb|The tricorn, as seen in the fractal zooming program [[XaoS]].]]
| | The writer is called Araceli Gulledge. Climbing is what adore doing. My occupation is a manufacturing and distribution officer and I'm doing fairly great financially. My house is now in Kansas.<br><br>Feel free to surf to my website ... [http://www.Alexsantosdesign.com/index.php?mod=users&action=view&id=8657 http://www.Alexsantosdesign.com/index.php?mod=users&action=view&id=8657] |
| [[Image:Mandeltricorn.png|thumb|right|One of infinite Mandelbrot sets contained within the tricorn fractal.]]
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| In [[mathematics]], the '''tricorn''', sometimes called the '''Mandelbar set''', is a [[fractal]] defined in a similar way to the [[Mandelbrot set]], but using the mapping <math>z \mapsto \bar{z}^2 + c</math> instead of <math>z \mapsto z^2 + c</math> used for the Mandelbrot set.<ref>{{MathWorld |title=Mandelbar Set |urlname=MandelbarSet}}</ref>
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| The "tricorn" is generated by multiplying the imaginary number component of the "z" in the Mandelbrot formula by minus one. This [[Complex conjugate|complex conjugation]] is represented by the horizontal line above the z in the previous formula, which is referred to as a "bar", hence the name "Mandelbar".
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| The characteristic three-cornered shape created by this fractal repeats with variations at different scales, showing the same sort of self-similarity as the Mandelbrot set. In addition to smaller tricorns, smaller versions of the Mandelbrot set are also contained within the tricorn fractal.
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| ==References==
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| <references/>
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| {{DEFAULTSORT:Tricorn (Mathematics)}}
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| [[Category:Fractals]]
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| {{geometry-stub}}
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Latest revision as of 05:26, 9 December 2014
The writer is called Araceli Gulledge. Climbing is what adore doing. My occupation is a manufacturing and distribution officer and I'm doing fairly great financially. My house is now in Kansas.
Feel free to surf to my website ... http://www.Alexsantosdesign.com/index.php?mod=users&action=view&id=8657