what is the best way to create dynamic array of arrays of arrays

Disclaimer: this is probably a bad design in the first place, as it's pretty rare lists have to be nested this deep, or nested at all. You probably want to flatten it out or use a Set or Map. My guess is Map as what meaningful information do you get out of something being in the 3rd list? Well if "3rd" is meaningful then a map.add(3, myInt) is a better way to go about accessing it.

Nonetheless the syntax is subtle enough so here's a working code sample.

But i never used it before and i dont know the syntax of declaring ListArray of ListArrays and moreover ListArray of ListArrays of ListArrays.

So there's your problem.

List<Integer> array1 = new ArrayList<>();  //java 7 only
List<List<Integer>> array2 = new ArrayList<>(); 
array2.add(array1);
// ...

And so forth.

Sample code to create a 10x10x10 list and populate with some numbers:

List<List<List<Integer>>> list = new ArrayList<>();
int n = 0;
for(int i = 0; i < 10; i++) {
    List<List<Integer>> list2 = new ArrayList<>();
    list.add(list2);
    for(int j = 0; j < 10; j++) {
    List<Integer> list3 = new ArrayList();
    list2.add(list3);
        for(int k = 0; k < 10; k++) {
            list3.add(n++);
        }
    }
}

To be more explicit - do this:

import java.awt.Point;

Point is usually used in graphical cases and I suspect you just need a pair of integers. You can use Apache's immutable point class or roll your own, if you do the latter remember to implement hashCode().

Map<Point, Integer> map = new Hashmap<>();

There, one map, no lists. I strongly suspect there is no reason in your code you need a list at all and you just want to be retrieving things by their coordinates.