That was so cool! The switching across dimensions is done perfectly, and a lot of fun comes from discovering what the next dimension has in store (and -wow- that was never disappointing *_*).
I'm quite confident I've found the culprit, but I think I'm missing something on the object and furniture guess. At first I believed I had to check the only element absent from the inventory, but... at the end, every element was in my inventory! So I tried with elements near the culprit, but nothing seemed to be the right guess :(
So yeah, I loved the dimensional travels, but my detective skills are still very bad :P