Harmonic Warping

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[[Image:HarmonicWarp.png|right|thumb|302px|Harmonic Warping Equation]]
[[Image:HarmonicWarp.png|right|thumb|302px|Harmonic Warping Equation]]
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To create this image, a harmonic warping operation was used to map the infinite tiling of the source image onto a finite plane. This operation essentially took the entire infinite <balloon title="Euclidean refers to the traditional geometric space that most people are initially exposed to, as opposed to non-Euclidean (ex. hyperbolic geometry and elliptical geometry)"> Euclidean </balloon> plane and squashed it into a square. This type of operation can be called a ''distance compressing warp''.
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To create this image, a harmonic warping operation was used to map the infinite tiling of the source image onto a finite plane. This operation essentially took the entire infinite <balloon hover="Click!" title="load:link" click="1" style="float:right;color:red"> Sticky mouse over!</balloon><span id="link" style="display:none"> <balloon title="Euclidean refers to the traditional geometric space that most people are initially exposed to, as opposed to non-Euclidean (ex. [[Hyperbolic Geometry|hyperbolic geometry]] and [[Elliptic Geometry|elliptic geometry]])"> Euclidean </span> plane and squashed it into a square. This type of operation can be called a ''distance compressing warp''.
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<balloon hover="Click!" title="load:link" click="1" style="float:right;color:red">Sticky mouse over!</balloon>
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<span id="link" style="display:none"> [[Logarithms]] </span>
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Revision as of 09:33, 7 July 2009

{{Image Description |ImageName=Harmonic Warping of Blue Wash |Image=Harmonic warp.jpg |ImageIntro=This image is a tiling based on harmonic warping operations. These operations take a source image and compress it to show the infinite tiling of the source image within a finite space.

|ImageDescElem= This image is an infinite tiling. If you look closely at the edges of the image, you can see that the tiles become smaller and smaller and seem to fade into the edges. The border of the image is infinite so that the tiling continues unendingly and the tiles become eternally smaller.


The source image for this tiling is another image that is mathematically interesting and is also featured on this website. See Blue Wash for more information about how the source image was created.


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Harmonic Warping Equation
Harmonic Warping Equation

To create this image, a harmonic warping operation was used to map the infinite tiling of the source image onto a finite plane. This operation essentially took the entire infinite Sticky mouse over!

|other=Single Variable Calculus |AuthorName=Paul Cockshott |AuthorDesc=Paul Cockshott is a computer scientist and a reader at the University of Glasgow. The various math images featured Art |SiteURL=http://www.dcs.gla.ac.uk/%7Ewpc/Fractal_Art.htm |Field=Calculus |Field2=Fractals |References = Paul Cockshott, [http://www.dcs.gla.ac.uk/~wpc/ Paul Cockshott] |ToDo=I suggest adding a section }}

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