my $array_1 = [ 1, 2, 3 ];   # 1d
my $array_2 = [ [1, 2, 3], [1, 2, 3], [1, 2, 3] ]; #2d
my $array_3 = [
  [ [1, 2, 3], [1, 2, 3], [1, 2, 3] ],
  [ [1, 2, 3], [1, 2, 3], [1, 2, 3] ],
  [ [1, 2, 3], [1, 2, 3], [1, 2, 3] ],
];                                           # 3d
... etc.

##</code><code>##

$array_1->[$x];
$array_2->[$x][$y];
$array_3->[$x][$y][$z];
... etc.

##</code><code>##

my %array = ();
$array{$x1,$y1,$z1} = something;
$array{$x2,$y2,$z2} = something else;
...