Not following exact path

Beginner Questions
2

Hi

The way to make it follow the path EXACTLY is to interpolate along it.

float distance = 0;
float speed = 1;

public void Update () {
    List<Vector3> points = ...;
    distance += Time.deltaTime * speed;
    float accum = 0;
    for ( int i = 0; i < points.Count-1; i++ ) {
        float d = (points[i+1] - points[i]).magnitude;
        if ( accum + d >= distance ) {
            transform.position = Vector3.Lerp ( points[i], points[i+1], (distance - accum)/d);
            return;
        }
    }
    // We have reached the end of the path if we get to this point
}

The above code will move with a speed of [speed] along the specified list of points until it reaches the end of it.