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Torus Knots

Periodic curves on rotation torus. A (m,n)-torus-knot is a curve on the torus, which is specified by winding m times around the main axis of the torus and n times around the tube of the torus. In this applet are three geometries displayed: The torus, the torus knot as a polygon and a tube around the torus knot polygon. The tube is generated by carrying a frame parallel along the polygon; this is independent of the surface underlying the polygon, so there may be a distortion between the ends of this tube.

Controls in the project panel:

Slider "U-Windings6quot; Number of windings around the main axis of the torus.
Slider "Z-Windings" Number of windings around the tube of the torus.
Slider "Knot Discr" Number of Vertices of the torus knot polygon.
Slider "Tube Discr" Number of edges along the torus knot tube.
Slider "Tube Thick" Radius of torus knot tube.
Checkbox "Show Torus" Set torus to be visible or invisible in the display.
Checkbox "Show Tube" Set tube around torus knot to be visible or invisible in the display.
Button "Reset" Set all sliders back to their default values.

Source code:
PaTorusKnot.java of applet
PjTorusKnot.java of project
PjTorusKnot_IP.java of info panel of project.

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