RecalculateNormals is buggy? And how do i uv map a cube with spherical coordinates?

Unity Engine
1

First, recalculate normals give me inaccurate results. Try the below code, you can see the normals drawn perfectly when you look from the top of the cube.

And then change the normal calculation part with the unity recalculatenormals command and look from the top again where you will see the normals are not alligned.

using UnityEngine;
using System.Collections;

public class Cube : MonoBehaviour {
	MeshFilter mF;
	MeshRenderer mR;
	Mesh mesh;
	public Material mat;
	
	const ushort CUBE_VERTICES = 8;
	const ushort CUBE_TRIANGLES = 12;
	
	Vector3[] vertices;
	int[] indices;
	Vector3[] normals;
	Vector2[] uvs;

	// Use this for initialization
	void Start () {
		gameObject.AddComponent(typeof(MeshFilter));
		gameObject.AddComponent(typeof(MeshRenderer));
		mesh = GetComponent<MeshFilter>().mesh;
		
		//Vertices
		vertices = new Vector3[CUBE_VERTICES] 
		{	new Vector3(-1, 1, -1),	// 0
			new Vector3(1, 1, -1),		// 1
			new Vector3(-1, -1, -1),	// 2
			new Vector3(1, -1, -1),	// 3
			new Vector3(-1, 1, 1),		// 4
			new Vector3(1, 1, 1),		// 5
			new Vector3(-1, -1, 1),	// 6
			new Vector3(1, -1, 1)		// 7
		};
		mesh.vertices = vertices;
		
		//Indices
		indices = new int[CUBE_TRIANGLES*3]
		{	0, 1, 2,    // side 1
			2, 1, 3,
			4, 0, 6,    // side 2
			6, 0, 2,
			7, 5, 6,    // side 3
			6, 5, 4,
			3, 1, 7,    // side 4
			7, 1, 5,
			4, 5, 0,    // side 5
			0, 5, 1,
			3, 7, 2,    // side 6
			2, 7, 6,
		};
		mesh.triangles = indices;
		
		//Normals
		normals = new Vector3[CUBE_VERTICES];
		for(int i = 0; i < vertices.Length; i++) {
			normals[i] = vertices[i].normalized;
		}
		mesh.normals = normals;
		
		//UVs
		uvs = new Vector2[CUBE_VERTICES];
		for(int i = 0; i < uvs.Length; i++) {
			uvs[i].x = Mathf.Asin(vertices[i].x) / Mathf.PI + 0.5f;
			uvs[i].y = Mathf.Asin(vertices[i].y) / Mathf.PI + 0.5f;
		}
		mesh.uv = uvs;
		
		//Materials
		renderer.material = mat;
	
	}
	
	void Update () {
		
		for(int i = 0; i < vertices.Length; i++) {
			Debug.DrawRay(vertices[i], normals[i] * 2, Color.green);
		}
	}

}

2nd question: using the same code above, my uv mapping just doesnt work. Does anyone know how i can use spherical uv mapping on this cube?

2

Bump