10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Slicing a Torus
A plane cuts a torus, going through its centroid and a horizontal line. The intersection is shown as a thick line. You can change the torus dimensions and the slope of the plane.
Contributed by:
Borut Levart
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
Snapshot 1: The plane is almost tangent to the torus in two places. Can you find the area of the resulting region(s)?
Snapshot 2: Vertical intersection of a
horn torus
that has equal radii.
Snapshot 3: Intersecting a
spindle torus
, where the tube radius is greater than the main radius.
Source: "A Strange Way to Slice a Doughnut." From
MathForum
.
RELATED LINKS
Torus
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Slicing a Torus
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SlicingATorus/
Contributed by:
Borut Levart
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
Zonohedral Torus
Sándor Kabai
Twisted Polygonal Torus
V. M. Chapela and M. J. Percino
Turning a Punctured Torus Inside Out (Variation)
Karl Scherer
Turning a Punctured Torus Inside Out
Karl Scherer
Motion Traced on the Torus and Klein Bottle
Kevin Sonnanburg
Constructing Vector Geometry Solutions
Michael Rogers (Oxford College of Emory University)
Circular Hole Drilled in a Sphere
Erik Mahieu
Dandelin Spheres for an Ellipse
George Beck
Orthogonal Systems of Circles on the Sphere
Mark D. Meyerson
Elliptic Cylindrical Coordinates
Adriano Pascoletti
Related Topics
3D Graphics
Analytic Geometry
Solid Geometry
Browse all topics
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+