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# Beziers, curves and paths¶

Bezier curves are a mathematical approximation of natural geometric shapes. We use them to represent a curve with as little information as possible and with a high level of flexibility.

Unlike more abstract mathematical concepts, Bezier curves were created for industrial design. They are a popular tool in the graphics software industry.

They rely on interpolation, which we saw in the previous article, combining multiple steps to create smooth curves. To better understand how Bezier curves work, let's start from its simplest form: Quadratic Bezier.

To draw a curve between them, we first interpolate gradually over the two vertices of each of the two segments formed by the three points, using values ranging from 0 to 1. This gives us two points that move along the segments as we change the value of `t` from 0 to 1.
```func _quadratic_bezier(p0: Vector2, p1: Vector2, p2: Vector2, t: float):
We then interpolate `q0` and `q1` to obtain a single point `r` that moves along a curve.