Revolutionary Cup

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Selected parts of a helical spiral are rotated to form the shape of a cup. To change the shape, use the controls to vary the distance of the spiral from the rotational axis (height), the diameter (width), how oval the spiral is (waist), and the boundary of the selected part (bottom).
Contributed by: Sándor Kabai (April 2007)
Open content licensed under CC BY-NC-SA
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"Revolutionary Cup"
http://demonstrations.wolfram.com/RevolutionaryCup/
Wolfram Demonstrations Project
Published: April 27 2007