# Torus Paths

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An torus path is a curve on the surface of a torus that winds times around the hole and times through the hole. In this Demonstration you can vary the radius (thickness) of the torus and the values of and . To help understand the numbers and , you can show the extra elements "around", being a circle around the hole, and "through", being a circle through the hole. The number is the number of times the curve intersects the "through" circle, and the number is the number of times the curve intersects the "around" circle. The torus path can be thickened to a tube with radius .

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Contributed by: Tom Verhoeff (September 2011)

Affiliation: Eindhoven University of Technology

Open content licensed under CC BY-NC-SA

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