In geometry, a Catalan surface, named after the Belgian mathematician Eugène Charles Catalan, is a ruled surface all of whose generators are parallel to a fixed plane. == Equations == The vector equation of a Catalan surface is given by r = s(u) + v L(u), where r = s(u) is the space curve and L(u) is the unit vector of the ruling at u = u.
In geometry, a Catalan surface, named after the Belgian mathematician Eugène Charles Catalan, is a ruled surface all of whose generators are parallel to a fixed plane. == Equations == The vector equation of a Catalan surface is given by r = s(u) + v L(u), where r = s(u) is the space curve and L(u) is the unit vector of the ruling at u = u.
Source: Wikipedia "Catalan surface" · CC BY-SA 4.0
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