Unfortunately one problem with the recurse center's concrete rooms is that they were only architected to be able to handle immutable people, looking outside is strictly forbidden, and when you leave a room, it collapses.
It doesn't collapse in any way that you care about, though.
What is interesting is the possibility of tail recursing, but over a regular stack that is continuously abandoned. So the foundation and lower floors disappear, yet the recurse centre grows ever higher into the sky.