 ##  [Self-Intersecting Surface](/self-intersecting-surface) 

  ##  [Self-Intersecting Surface](https://puremath.quantumdictionary.io/self-intersecting-surface-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A two-dimensional surface (image of a map from a domain in R^2) whose image intersects itself so that points in ambient space have multiple distinct preimages on the parameter domain, producing local loci where the surface is not embedded.