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Building a hexadecimal wall clock to count down to the 2038 problem (y2k)

Hi all, I'm reaching out to the community to help with the design of a hex clock.

I'm honestly very lost on where to start. My current plan is to buy some gears and make a large monstrosity which is unlikely to fit on a wall. Does anyone have a more elegant suggestion?

It's following the general design of a clock with two main differences:

  1. There are 256 seconds in the second hands rotation.
  2. There are 4 hands, the 4th of which measures ~136 years in a rotation.
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