What is the geometrical definition of a curve with a volume?
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Imagine that i have a curve defined in three dimensions. Superimposing one sphere in each point of the curve I would have a kind of a tunnel. What is the mathematical definition of this geometrical construction?
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Answer:
You're pretty close to talking about a "tubular neighbourhood" (see e.g. http://en.wikipedia.org/wiki/Tubular_neighbourhood).
Robert Harron at Quora Visit the source
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