 ##  [Cuspidal Edge](/index.php/cuspidal-edge) 

  ##  [Cuspidal Edge](https://puremath.quantumdictionary.io/cuspidal-edge-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A curve on a surface along which the surface exhibits cusp-type singularities in transverse cross-sections: locally the map from parameters to ambient space has a cusp in the normal direction while the singular set itself is a one-dimensional curve.