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)
α
γ
α
f
g
h
a
γ
i
j
k
b