WOLFRAM|DEMONSTRATIONS PROJECT

Make Your Own Ruled Surface

​
a
b
f
Cos[x]
g
Sin[x]
h
0
i
Sin[x]
j
Cos[x]
k
1
A ruled surface is a surface that has a parametrization of the form
x(u,v)=α(u)+vγ(u)
, where
α
is the directrix and
γ
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
α
to be a constant multiple of one of the functions
f
,
g
, and
h
(
a
is the constant) and
γ
to be a constant multiple of one of the functions
i
,
j
, and
k
(
b
is the constant). Ruled surfaces occur in architecture.