Peak Cassini by Blechnik
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Description
This body might be called "Cassinoid". Cross sections are Cassini curves. In opposite to an ellipse, a Cassini curve is the amount of all points that have the same product of distances to the focal points (instead of the sum). Thus, the geometric mean may be called "radius" instead of the arithmetic one. Funny thing about this kind of figure is that it divides into two parts for a radius smaller than half the distance of the focal points, when an ellipse is no longer existing at all. If the radius is much greater than than the "focal length" both ellipse and Cassini curve equal to circles.
In order to make the peaks look more impressive, the elevation of the curves is the square root of the radius. Contour variable is the radius itself again.
The Wheelchair-General
Lab Windows CVI (Measurement Studio) 6.0
Grapher 2.03
Tecplot 9.0
Corel Photopaint 7
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Comments (2)
Staticon
Whoever said mathematics couldn't be fun? Nice graph and description.
rayag
Very interesting gallery.I dare say a little hard for me to understand all the explanations..... Anyway ,thanks for comments on my last !