dim 0 -> 3 elements
 
        dim 1 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
 
        dim 1 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
 
        dim 1 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements
                dim 2 -> 4 elements