“In geometry, a surface S is ruled (also called a scroll) if through every point of S there is a straight line that lies on S. The most familiar examples (illustrated here in three-dimensional Euclidean space) are the plane and the curved surface of acylinder or cone. Other examples are a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space.” - wikipedia
A ruled surface can always be described (at least locally) as the set of points swept by a moving straight line.
Comments
One of my epic moments turned into a GIF
this is legit the creepiest thing I have seen in a while.
@PFCJenssen
The hyperboloid
“In geometry, a surface S is ruled (also called a scroll) if through every point of S there is a straight line that lies on S. The most familiar examples (illustrated here in three-dimensional Euclidean space) are the plane and the curved surface of acylinder or cone. Other examples are a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space.” - wikipedia
A ruled surface can always be described (at least locally) as the set of points swept by a moving straight line.