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Summer Session 8
July 27

Construct the torus using the command "tubeplot".
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Construct two tori as thus:
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Construct the torus using the command "plot3d".
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Construct the torus by pasting two patches as thus:
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Construct one half of a torus so its cross-section consists of two concentric circles.
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Construct one half of a torus so its cross-section consists of two disjoint circles.
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Construct one half of a torus so its cross-section consists of two intersecting circles.

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These circles are called Villarceaux circles. Reference: Z.A. Melzak, Invitation to Geometry, pp. 63-68.

Construct one half of a torus so its cross-section consists of two interlocking circles in space.
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Construct a knot as thus:
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Construct knots as thus:

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Construct a twisted torus whose sections are formed by regular triangles:

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Construct the VRML files associated with all models in this exercise.
Location of the Cosmo Player:
 http://poncelet.math.nthu.edu.tw/software/cosmoplayerinstall.exe