Harmonic Warping
From Math Images
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|other=Single Variable Calculus | |other=Single Variable Calculus | ||
|AuthorName=Paul Cockshott | |AuthorName=Paul Cockshott | ||
| + | |AuthorDesc=Paul Cockshott is a computer scientist and a reader at the University of Glasgow. The various math images featured on this page were originally produced for his research. | ||
|SiteName=Fractal Art | |SiteName=Fractal Art | ||
|SiteURL=http://www.dcs.gla.ac.uk/%7Ewpc/Fractal_Art.htm | |SiteURL=http://www.dcs.gla.ac.uk/%7Ewpc/Fractal_Art.htm | ||
Revision as of 13:31, 23 June 2009
| Harmonic Warping |
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Contents |
Basic Description
Look at Blue Wash for more information to learn how the image that is tiled was created.A More Mathematical Explanation
- Note: understanding of this explanation requires: *Single Variable Calculus
Essentially, an equation was used to map the points of
- equation
, limit is 1
, limit is 1
- distance compressing warp
- infinite tiling of Euclidean plane mapped onto a rectangle (or ellipse)
- mapping (x,y) from Euclidean plane unto (d(x),d(y)) in rectangle
Polar Harmonic Warping
Here
Infinite Poles
Here
Teaching Materials
- There are currently no teaching materials for this page. Add teaching materials.
About the Creator of this Image
Paul Cockshott is a computer scientist and a reader at the University of Glasgow. The various math images featured on this page were originally produced for his research.
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.

