Balance = Entropy by JeremyDover & Raumplaner
Added 2022-02-18 21:00:04 +0000 UTCAs mentioned on the channel yesterday, Simon took on the challenge of this extraordinary sudoku today - while trying to distract himself from the hurricane going on outside his window!
This is a seriously interesting puzzle but it might take a couple of minutes to understand the rules :)
You can watch the video here:
Play the puzzle in our software here:
Rules: Normal sudoku rules apply. Entropic lines: Any set of three sequential cells along an entropic line must contain a low digit (1-3), a middle digit (4-6), and a high digit (7-9). Digits may repeat on a line, if allowed by other rules. All lines in the puzzle are entropic; colouration is used solely to distinguish between entropic lines that intersect. Balance rules: Each circle is the fulcrum of a balance, whose balance arm is a straight line passing through it. The digits in the squares are the weights hanging from the balance. If the line that passes through a fulcrum is horizontal, then the two sides are balanced; if not, the lower side is heavier. Balance calculations are made using total torque: a weight three cells away from a fulcrum (cells can be counted horizontally on a horizontal balance arm, diagonally on a diagonal balance arm) contributes thrice the torque of the same weight hanging one cell from the fulcrum. The lines are massless and do not affect the torque calculation. Please note that there are two separate balances in this puzzle: the main one with fulcrum at R1C5, and a smaller balance with fulcrum in R5C8. An example balance calculation is available at the link below.
https://f-puzzles.com/?id=ycfg2yj5
Comments
Interesting ruleset. Mucked it up the first time because I forgot to stop the entropy colouring when I moved to a different line.
Athel Stan
2022-03-02 20:44:25 +0000 UTCEnjoyed the video, and impressed that you made it with a raging storm outside your house. How did you keep your concentration between breaks to look out the window? I would have lost my train of thought, I think. I have to say, I am glad you did it during the storm, as it was quite interesting to hear the wind. I live in North Carolina, but far enough inland that we only tend to get rain, and not wind, from hurricanes that strike the Atlantic coast. My sheltered geography is doubtless why I am fascinated by storms...
Emily Williams
2022-02-23 01:27:18 +0000 UTCThanks for the extra video, i really enjoy these. The storm outside less so, good you survived it :).
2022-02-21 08:38:22 +0000 UTC59 minutes, I really liked the challenge, and it felt mucha faster... Really interesting ruleset
2022-02-21 00:25:18 +0000 UTCThat was fun. I would like to see more of this ruleset.
Darryl Gilbert
2022-02-20 17:02:49 +0000 UTC
