[Dim] does a pretty good job of describing exactly how the clock works. The timebase is at the top. Below it is clock distribution and counters. After that come counters, latches, and lookup tables. Data moves around the clock in the form of gliders. P30 (aka Queen Bee) gliders to be exact. It might make things simpler to think of the glider paths as circuit traces, and the gliders themselves as clock pulses.
We couldn’t get over all the little details in this design. If you zoom way in, you can see all the lookup table patterns have been annotated, much in the way a schematic would be. For [Dim’s] next feat, we hope he takes on [Joe Z’s] Tetris challenge!
Conway’s life is like honey for hackers. We’ve seen it running on our own Hackaday Badge. We’ve even seen clocks that run the game on their display. Someone needs to implement a clock that runs the game that runs this clock. Clockception, anyone?