I remember a news cast in danish television dr1 regarding some programming issues. Quite some years back. And the journalists asked the official programmer, probably a computer scientist how he would do TOH, and then he scribbled something on papar and made a working model of it. They filmed his methods how he did it in handwriting, but i guess that must have been the recursive model he came up with.
;)
I have advanced quite a bit on this program. Or i was stuck for some time with the theory b4. Now i have the theory in place. I have explained it metimeticulously here : https://www.equato.dk/hanoi.html
I have since also made some effords to come up with a 'stateless' solution based on number and equations only.
After some efford i found a remarkable uncomplicated solution. Wikipedia has some good info about it to.