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my @array = (1,2,3);
my @2darray = (\@array, \@array, \@array);
...
              );

print $3darray[0][3][3]; # yields 33

package foo;

...
my $new_object = new foo;
my $array_ref = $new_object->{an_array_of_arrays};
print $array_ref->[1][1];