Recursivity is a general term for looping. This is not mere repetition, but rather more like a spiral, where every loop is different as the process moves generally towards an end, whether a closed one or an open one.
We are not going in circles, we are going upwards. The path is a spiral; we have already climbed many steps.
“The path isn’t a straight line; it’s a spiral. You continually come back to things you thought you understood and see deeper truths.”
source: Barry H. Gillespie