- Some tests

Assets/Tests/Beam/Person.prefab

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Assets/Tests/Sphere.cs

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+using UnityEngine;
+using System.Collections;
+
+public class Sphere : MonoBehaviour
+{
+    public GameObject SpherePrototype;
+    public int PointsAmount = 50;
+    public float SphereRadius = 1f;
+
+    void Awake()
+    {
+        // First test (Orion Elenzil)
+        /*
+        for (int i = 0; i < PointsAmount; i++)
+        {
+            float theta = (360f / PointsAmount) * i;
+            float phi = (Mathf.PI / 2 / PointsAmount) * i;
+
+            float x = Mathf.Cos(Mathf.Sqrt(phi)) * Mathf.Cos(theta);
+            float y = Mathf.Cos(Mathf.Sqrt(phi)) * Mathf.Sin(theta);
+            float z = (UnityEngine.Random.value < 0.5f ? -1 : 1) * Mathf.Sin(Mathf.Sqrt(phi));
+            Debug.Log(UnityEngine.Random.value);
+            Instantiate(SpherePrototype, new Vector3(x, y, z), Quaternion.identity);
+        }*/
+
+        // Second test (default unit sphere random distribution)
+        /*
+        for (int i = 0; i < PointsAmount; i++)
+        {
+            float u = UnityEngine.Random.Range(-1f, 1f);
+            float a = UnityEngine.Random.Range(0f, 2 * Mathf.PI);
+            
+            float x = Mathf.Sqrt(1 - u * u) * Mathf.Cos(a);
+            float y = Mathf.Sqrt(1 - u * u) * Mathf.Sin(a);
+            float z = u;
+
+            Instantiate(SpherePrototype, new Vector3(x, y, z), Quaternion.identity);
+        }*/
+
+        // Third test (unit sphere semi-uniform distribution)
+        for (int i = 0; i < PointsAmount; i++)
+        {
+            float u = (SphereRadius * 2 / PointsAmount) * i - SphereRadius;
+            float a = UnityEngine.Random.Range(0f, 2 * Mathf.PI); // ((2 * Mathf.PI) / PointsAmount) * i;
+
+            Debug.Log(a);
+
+            float x = Mathf.Sqrt(SphereRadius * SphereRadius - u * u) * Mathf.Cos(a);
+            float y = Mathf.Sqrt(SphereRadius * SphereRadius - u * u) * Mathf.Sin(a);
+            float z = u;
+
+            Instantiate(SpherePrototype, new Vector3(x, y, z), Quaternion.identity);
+        }
+    }
+}

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Assets/Tests/Sphere.prefab

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