ruled surface
Line-generated shape
A ruled surface is a surface that can be generated by moving a straight line through space—every point on the surface lies on at least one straight line that lies entirely within that surface.
Cylinders, cones, and hyperboloids are ruled surfaces.
The concept matters in architecture and manufacturing because ruled surfaces can be constructed from straight materials: The cooling tower's shape is a ruled surface, allowing it to be built with straight concrete forms.
- cylinderCircular-based solid form
- coneTapered solid, circular base
- cooling towerStructure for shedding process heat
- hyperboloidRevolved conic section solid
- tangentLine touching curve once
generator · straight line · tangent line · sweep · loft · saddle · saddle point · curvature · helix · spiral · twist · warp · mesh · parametric · developable · minimal · straight · line
- surfacessphere, cone, torus, plane, cylinder
- draftingblueprint, blueprints, technical drawings, dimensions, engineering drawing
- archesarch, triumphal arch, memorial arch, roman arch, victory arch
- geometric shapessphere, triangle, square, cone, rectangle
- curvatureGaussian curvature, spinal curvature, arc, bend, camber
- Submanifoldscurve, embedding, immersion