Just watched your last run with exoskeleton, and it says that the distance between floors if about 1000 tiles. Now that makes me wonder...
I haven't tested it, but, if I attach, say, a Chronowheel right in front of an exit and then move to a next floor, I assume the Chronowheel will stay with me, am I correct? But the thing is, once attached, the Chronowheel destroys itself after 30 turns, and we can't change it in any way, can't deactivate it or somehow stop the countdown. Does that mean I somehow traveled 1000 tiles in less than 30 turns?