 ##  [Barycentric Coordinates](/barycentric-coordinates) 

  ##  [Barycentric Coordinates](https://natural.quantumdictionary.io/barycentric-coordinates-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A representation of a point as a weighted affine combination of the vertices of a simplex, given by weights that sum to one; coordinates indicate relative contribution of each vertex.

 

 

 

 

 





 

 



 ##  [Barycentric Coordinates](https://puremath.quantumdictionary.io/barycentric-coordinates-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 coordinate representation of a point relative to the vertices of a simplex (for example a triangle) using weights that are proportional to signed areas or volumes; the weights sum to one and specify the affine combination of the vertices that yields the point.