# Make Your Own Ruled Surface

Make Your Own Ruled Surface

A ruled surface is a surface that has a parametrization of the form , where is the directrix and the director curve or ruling. Such a surface can be generated by the continuous motion of a straight line in space. Here you can choose to be a constant multiple of one of the functions , , and ( is the constant) and to be a constant multiple of one of the functions , , and ( is the constant). Ruled surfaces occur in architecture.

x(u,v)=α(u)+vγ(u)

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