Modtropy
(Published on 19. September 2022, 02:41 by panthchesh)
Normal Sudoku Rules Apply
Killer Cage Rules: Digits in a cage sum to the small total in the corner of the cage.
This puzzle can be solved two different ways.
Version 1) Entropic:
All diagonals in the grid act as either entropic lines or isoentropic lines:
Entropic Lines- Any set of three sequential cells along an entropic line must contain a low digit (1,2,3), a middle digit (4,5,6), and a high digit (7,8,9)
Isoentropic Lines: All digits along the line must be made up from only one entropic group (123, 456, or 789)
Version 2) Modular:
All diagonals in the puzzle are either Modular or unimodular
Modular lines: every set of three sequential digits along a line must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}.
Unimodular Lines: All digits along the line are made up from only one modular group (147, 258, or 369)
For both versions, Digits may repeat on a diagonal if allowed by other rules.
Solution code: Row 3 of version 1 followed by Row 3 of version 2.
Comments
on 8. August 2024, 17:17 by sockerbecca
After solving it, I can confirm: it was really cool ^^
on 8. August 2024, 16:04 by sockerbecca
This seems really cool! I haven't solved it yet, I just wanted to let you know I spotted a typo in the rules on Sudokupad. In one place, it says "anti-entropic" instead of "isoentropic" :)
on 17. October 2022, 02:31 by dumediat
Very neat puzzle idea, I enjoyed the global logic this created very much! I found the break-in idea a bit difficult to spot, but once I did it flowed very smoothly. Thank you for sharing!
PanthChesh: Thank you!! :)
on 17. October 2022, 01:41 by dumediat
Very neat puzzle idea, I enjoyed the global logic this created very much! I found the break-in idea a bit difficult to spot, but once I did it flowed very smoothly. Thank you for sharing!
on 19. September 2022, 02:47 by panthchesh
I needed to make sure I give credit to my co-creator, Montinox!
on 19. September 2022, 02:43 by panthchesh
Sorry for the delay in posting puzzles. I try to post once a month, but I hurt my back quite badly last month and was not able to post a new puzzle. I do hope you enjoy this one! It's really not as hard as it seems :)
