10854
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Villarceau Circles
It is obvious that every point on a torus is contained in two circles that lie on the torus. Less obvious is the fact that every such point is contained in two additional circles, called the Villarceau circles.
Contributed by:
Stan Wagon
(Macalester College)
THINGS TO TRY
Rotate and Zoom in 3D
Automatic Animation
SNAPSHOTS
DETAILS
This code is taken from S. Wagon,
Mathematica in Action
, 3rd ed., forthcoming from Springer-Verlag.
RELATED LINKS
Villarceau Circles
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Villarceau Circles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VillarceauCircles/
Contributed by:
Stan Wagon
(Macalester College)
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Orthogonal Systems of Circles on the Sphere
Mark D. Meyerson
Constructing Vector Geometry Solutions
Michael Rogers (Oxford College of Emory University)
Slicing a Torus
Borut Levart
Biggest Little Polyhedron
Ed Pegg Jr
Slicing a Sphere along Two Parallel Planes
Erik Mahieu
Intersection of a Cone and a Sphere
Erik Mahieu
Circular Hole Drilled in a Sphere
Erik Mahieu
Dandelin Spheres for an Ellipse
George Beck
Simple Inequalities in the Unit Cube
George Beck
Elliptic Cylindrical Coordinates
Adriano Pascoletti
Related Topics
3D Graphics
Analytic Geometry
Solid Geometry
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
7.G.A.3
HSG-GMD.B.4
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+