##  [Whitney Umbrella](/whitney-umbrella) 

  ##  [Whitney Umbrella](https://puremath.quantumdictionary.io/whitney-umbrella-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A canonical surface singularity in three-dimensional space obtained as the image of a map from the plane that folds and self-intersects along a curve which terminates at a pinch (the pinch point); a standard parametrization is (u,v) ↦ (u, uv, v^2).