Sunday, February 12, 2012

Surfaces: Whitney umbrella

Whitney umbrella

The Whitney umbrella (or Whitney's umbrella) is a self-intersecting surface placed in three dimensions. It is the union of all straight lines that pass through points of a fixed parabola and are perpendicular to a fixed straight line, parallel to the axis of the parabola and lying on its perpendicular bisecting plane.

Get copyable formulas for Whitney umbrella from Differential Geometry Library (MathML, TeX, Mathematica input, Maple input)

No comments: