I recently ran across a problem on leetcode which I solved with a nested hashset. This is the problem, if you're interested: https://leetcode.com/problems/group-anagrams/.
My intuition was to add all of the letters of each word into a hashset, then put that hashset into another hashset. At each iteration, I would check if the hashset already existed, and if it did, add to the existing hashset.
Oddly enough, that seems to work. Why do 2 hashsets share the same hashcode if they are different objects? Would something like if(set1.hashCode() == set2.hashCode()) doStuff() be valid code?