Problems at "Mapping Cube to a Sphere"

I tried for example, to make "Mapping a cube to a sphere"but I get a bug first face, in a circle, and the whole cube is the hemisphere, I’m a very long time trying to find a solution, but could not.Therefore, I ask for help from the community, from the bottom to bring the code

 using UnityEngine;
    using System.Collections;
    
    public class PlanetLod : MonoBehaviour
    {
    	private Mesh m;
    
    	void Start()
    	{
    		m = GetComponent<MeshFilter>().mesh;
    
    		float radius = 2.0f;
    
    		Vector3[] vertices = m.vertices;
    		Vector3[] verticesN = m.vertices;
    		Vector3[] normals = m.normals;
    		
    		for (int i = 0; i < vertices.Length; i++)
    		{
    			Vector3 spherePoint = vertices*.normalized;*
  •  	Vector3 position = CubeToSphere(spherePoint.x, spherePoint.y, spherePoint.z);*
    

_ verticesN*= position;_
_
}*_

* m.vertices = verticesN;*
* m.RecalculateNormals();*
* m.RecalculateBounds();*
* }*

* private Vector3 CubeToSphere(float x, float y, float z)*
* {*
_ float sx = x * Mathf.Sqrt(1.0f - y * y * 0.5f - z * z * 0.5f + y * y * z * z / 3.0f);
float sy = y * Mathf.Sqrt(1.0f - z * z * 0.5f - x * x * 0.5f + z * z * x * x / 3.0f);
float sz = z * Mathf.Sqrt(1.0f - x * x * 0.5f - y * y * 0.5f + x * x * y * y / 3.0f);_

* return new Vector3(sx, sy, sz);*
* }*

}

[9258-безымянный.png|9258]

Here are the results of the formula.