Difference between revisions of "Hippopede of Proclus"

From Math Images
Jump to: navigation, search
Line 1: Line 1:
 
{{Image Description
 
{{Image Description
 
|ImageName=Hippopede of Proclus
 
|ImageName=Hippopede of Proclus
|ImageURL=http://www.ipfw.edu/math/Coffman/images/proc.gif
 
 
|Image=HippopedeOfProc.gif
 
|Image=HippopedeOfProc.gif
 
|ImageIntro=Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis...
 
|ImageIntro=Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis...
 +
|Pre-K=No
 +
|Elementary=No
 +
|MiddleSchool=No
 +
|HighSchool=No
 
|ImageDesc=Consider a torus, <math>T</math>, as a surface of revolution, generated by a circle with radius <math>r > 0</math>, and with center at distance <math>R > 0</math> from the axis. <math>R</math> is the ''major radius'' of <math>T</math>, and <math>r</math> is the ''minor radius''. Intersecting the torus <math>T</math> with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus."
 
|ImageDesc=Consider a torus, <math>T</math>, as a surface of revolution, generated by a circle with radius <math>r > 0</math>, and with center at distance <math>R > 0</math> from the axis. <math>R</math> is the ''major radius'' of <math>T</math>, and <math>r</math> is the ''minor radius''. Intersecting the torus <math>T</math> with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus."
 
|AuthorName=Adam Coffman
 
|AuthorName=Adam Coffman
Line 13: Line 16:
 
:*[http://mathworld.wolfram.com/Hippopede.html Hippopede from Wolfram MathWorld]
 
:*[http://mathworld.wolfram.com/Hippopede.html Hippopede from Wolfram MathWorld]
 
|AuthorLinks=:*http://www.ipfw.edu/math/Coffman
 
|AuthorLinks=:*http://www.ipfw.edu/math/Coffman
|Pre-K=No
 
|Elementary=No
 
|MiddleSchool=No
 
|HighSchool=No
 
|HigherEd=Yes
 
|InformalEd=No
 
 
}}
 
}}

Revision as of 16:14, 21 July 2008


Hippopede of Proclus
HippopedeOfProc.gif
Field: Topology
Image Created By: Adam Coffman
Website: Adam Coffman --- Lemniscates

Hippopede of Proclus

Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis...


A More Mathematical Explanation

Consider a torus, T, as a surface of revolution, generated by a circle [...]

Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis. R is the major radius of T, and r is the minor radius. Intersecting the torus T with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus."




Teaching Materials

There are currently no teaching materials for this page. Add teaching materials.

About the Creator of this Image

Adam Coffman is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Indiana University - Purdue University Fort Wayne.


Related Links

Additional Resources

Other Materials By Adam Coffman






If you are able, please consider adding to or editing this page!


Have questions about the image or the explanations on this page?
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.