In geometry, a surface S in 3-dimensional Euclidean space is ruled if through every point of S, there is a straight line that lies on S. Examples include the plane, the lateral surface of a cylinder o
Cooling hyperbolic towers at Didcot Power Station, UK; the surface can be doubly ruled.
Doubly ruled water tower with toroidal tank, by Jan Bogusławski in Ciechanów, Poland
A hyperboloid Kobe Port Tower, Kobe, Japan, with a double ruling.
Hyperboloid water tower, 1896 in Nizhny Novgorod.
In geometry a conoid is a ruled surface, whose rulings fulfill the additional conditions:
Ruled surface
…0 ) , r ( 0 ) ) ≠ 0 (see next section). Hence the given realization of a Möbius strip is not developable. But there exist developable Möbius strips. Conoid Catalan surface…