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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
Borut Levart
"
Slicing a Torus
"
http://demonstrations.wolfram.com/SlicingATorus/
Wolfram Demonstrations Project
Published: September 28, 2007
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