@SW-User A LISP program designed the logic gates, but I'm pretty sure the Tinker Toy Logic (TTL🤣) runs entirely stand-alone on crank power.
I'm just guessing here, but I suspect the LISP program was in large part a simulation. Maybe also translated from the space of 9-state logic to patterns of hubs and rods. That line "It could have been built by any six-year old with 500 boxes of tinker toys and a PDP-10" is confusing to me, but I think it means the PDP-10 produced some form of assembly instructions.
I believe Hillis designed another mechanical digital computer for "The Clock of the Long Now." I believe it will accurately display positions of planets for the next 10,000 years, and it does it in digital not analog.
Conclusion: Mechanical digital logic.
https://longnow.org/clock/principles/