 ##  [Barycentric Subdivision](/barycentric-subdivision) 

  ##  [Barycentric Subdivision](https://mathlogic.quantumdictionary.io/barycentric-subdivision-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An operation on a simplicial complex that produces a finer simplicial complex by inserting the barycenter of each simplex and subdividing each simplex into smaller simplices whose vertices are barycenters of faces.

 
 ##  [Barycentric Subdivision](https://puremath.quantumdictionary.io/barycentric-subdivision-1) 

  
 [![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 standard combinatorial operation on simplicial complexes that replaces each simplex by a collection of smaller simplices obtained by joining the barycenter of the simplex to the barycenters of its faces, producing a finer simplicial complex with the same underlying polyhedron.