Saturday, January 12, 2019

[fzrukklc] Towers of Hanoi clock

Create an automated demonstration of the Towers of Hanoi that transfers a stack discs from one peg to another in exactly 8 hours.  It completes a full cycle through the three pegs, returning to the initial configuration, in 24 hours.

14 discs would have a disc move every 1.76 seconds.  15 discs, 0.88 seconds.

It's a clock: tell time by the position of the discs.  8 is conveniently a power of 2, so each hour corresponds to a certain large disc configuration.

Easiest would be simulated in video, which could also incorporate other time cues, e.g., lighting.  Highly reliable, constantly running mechanical would be difficult.

There's the legend of the universe ending after a 64-disk transfer is completed.

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