Spawn 1-4 players around a Bezier curve?

Questions & Answers
1

I need to spawn 1-4 players at points around a bezier curve surrounding a basketball net (so around a 3-point line, essentially). This will be an AR environment, so there will be no actual 3-point line in the scene - I need a way to spawn a given number of players at equal distances from each other. So if there are 2 players, they will be placed at 10 and 2 of a clock-face. 4 players will be placed at roughly 9, 11, 1, and 3 of a clock-face.

Note: No player can be on the top of the oval (directly facing the net), as this would be an unfair advantage.

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2

You can get a point on the curve using this method;

    public static Vector3 GetPointOnCurve(Vector3 startPoint, Vector3 midPoint, Vector3 endPoint, float t)
    {
        return Vector3.Lerp(Vector3.Lerp(startPoint, midPoint, t), Vector3.Lerp(midPoint, endPoint, t), t);
    }

From there is just a matter of passing a value between 0 and 1 in the t parameter to get a point at the percentage you want the player to be.

3

bezier curve is more complex,
but if you want to choose points on an arc it’s pretty simple.

// return a point on the unit circle lying in the XZ plane,
// uniformly distributed between degreesA and degreesB.
// "0 Degrees" is taken to be Vector3.forward, aka [0, 0, 1].
Vector3 PointOnArc(float degreesA, float degreesB) {
  float deg = Random.Range(degreesA, degreesB);
  return Quaternion.AngleAxis(deg, Vector3.up) * Vector3.forward;
}

I haven’t actually compiled that, but it should work.
Note you’ll need to scale the result by the size of that semi-circle,
and translate it by the center of the semi-circle.