Find the depth to which an array is full:

ArrayDepth counts only dimensions at which an expression is not "ragged":

ArrayDepth works with special array types, including SparseArray objects:

SymmetrizedArray objects:

NumericArray objects:

Find the depth of a matrix that is a mixture of List and different special array heads:

ArrayDepth works with any head, not just List :

Length [Dimensions [expr]] equals ArrayDepth [expr]:

ArrayDepth always returns a non-negative integer:

The default value of the option AllowedHeads allows mixtures of list, sparse and structured arrays:

It also allows any single head at successive levels:

The following setting of AllowedHeads imitates the default behavior with respect to list-like arrays:

However, it excludes arbitrary heads:

VectorQ , MatrixQ and ArrayQ effectively use AllowedHeads "ListLike":

The setting AllowedHeads "ListLike" does not include ByteArray and NumericArray :

Combine "ListLike" with the additional heads to allow the combination:

ArrayDepth [Array [h,dims]] gives Length [dims]:

ArrayDepth only considers the levels to which the expression is completely rectangular:

Depth considers the deepest part of an expression:

For completely rectangular expressions, ArrayDepth gives a result one smaller than Depth :

Numeric expressions report array depth based of the structure of their FullForm :

To treat all numeric expressions as scalars, use the setting List or "ListLike" for AllowedHeads :