Get vertex coordinates from gameobject mesh

     GameObject myObject = GameObject.Find("head");
     Mesh mesh = myObject.GetComponent<MeshFilter>().mesh;
     Vector3[] vertices = mesh.vertices;

     for (var i = 0; i < vertices.Length; i++)
     {
         Debug.Log(vertices[i]);
         var direction = transform.TransformPoint(vertices[i]);
         Debug.Log(direction);
     }

You're pretty close @mustang4484, your first problem could be that by using "gameObject" as your object name you could be creating some namespace issues, but I haven't actually tested your code so I'm not sure. Either way, it's good practice to just use a different name for your GameObject. Secondly, you're not properly defining the 'direction' variable. You need to either specify a data type or just use 'var'. Funnily enough I'm doing the exact same thing you are in my current project! I stumbled across your question while doing research

Never create variables of type GameObject with name gameObject. The same goes for Transforms names transform. You will thank yourself later.

Also there is a bug here - your not suppose to transform those vertices by transform (which is relative to script location and not head transform itself).

This vector is no direction:

 direction = transform.TransformPoint(vertices[i]);

but world position of a given vertex:

 Vector3 vertexWorldPosition = transform.TransformPoint( vertices[i] );

 void Start ()
 {
     GameObject headGo = GameObject.Find("head");
     Transform headTransform = headGo.transform;
     Mesh headMesh = headGo.GetComponent<MeshFilter>().sharedMesh;
     Vector3[] vertices = mesh.vertices;

     var text = new System.Text.StringBuilder();
     int numVertices = vertices.Length;
     for( int i=0 ; i<numVertices ; i++ )
     {
         Vector3 vertexWorldPosition = headTransform.TransformPoint( vertices[i] );
         text.AppendLine($", ({vertexWorldPosition.x:0.00},{vertexWorldPosition.y:0.00},{vertexWorldPosition.z:0.00})");
     }
     Debug.Log($"vertices: ( {text} )");
 }