# Barycentric Coordinates

Learn how to calculate the barycentric coordinates of a triangle face.

## Overview

The concept of barycentric coordinates comes up quite often in computer graphics applications. For example, given a textured 3D model, each face of the model needs some kind of mapping to the texture to know how it should appear. For a 3D model composed of 2D polygon faces, we need a way to describe the location of any 2D point on a face. Barycentric coordinates provide such a method to describe the relative location of a point on a face. Understanding what they are and how they work is integral to shading and rendering in particular.

## Barycentric coordinates

To put it simply, barycentric coordinates are a local coordinate system for a triangle of geometry. They describe a single point on a triangle face as a combination of the three vertices of the triangle. In other words, for a triangle with vertices

### Reasoning about barycentric coordinates

Imagine three springs and three points

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