If you can make a large enough game of life simulation in hardware that runs at the precise speed to make the clock accurate, I'd buy it in an instant. As in, it can run any pattern you want, but running exactly that pattern results in an accurate digital clock. You'll of course need a few buttons to program in a new pattern and to set the pattern to a specific time.
Really? Hm... Clocks/accurate timing && cellular automata/dynamic systems are things I'm passionate about. (and know how to build)
For a hypothetical device you'd "buy in an instant" how are you imagining the output (and controls). Like, would you want a box with its own display? Or what?
Me too but first the design need to be fixed so that counters are both top and bottom - in that answer the bottom half of the clock takes more than 30 second to change and it stays in the transitioned state for too long as well making large changes confusing - like 7 to 8