8-251s07-th.jpg
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8-251s07-th.jpg
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Building a torus from a cylinder of circumference 2pi and length T.
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A torus is built from a cylinder of circumference 2π and length T by gluing the edges with a twist angle θ. The set of inequivalent tori is represented by the points in the orange region. In all these tori the shortest geodesic has length greater than or equal to 2π. (Image by MIT OpenCourseWare.)
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Spring
2007
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