# Slicing a Torus

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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 (September 2007)

Open content licensed under CC BY-NC-SA

## 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.

## Permanent Citation

"Slicing a Torus"

http://demonstrations.wolfram.com/SlicingATorus/

Wolfram Demonstrations Project

Published: September 28 2007