Abstract Earth
(Published on 26. June 2026, 22:54 by Gem024)
This is my first puzzle, mostly just playing around with rules I enjoy.
Rules: Normal sudoku rules apply. Blue Region Sum Line: Digits on a line have the same sum in each region the line passes through. If a line passes through a region multiple times, each individual segment sums separately. Green Entropic Line: Any set of three sequential cells along an entropic line must contain a low digit (1,2,3), middle digit (4,5,6) and high digit (7,8,9). Digits may repeat on a line, if allowed by other rules. Quadruples: Digits in the quadruple circle must be in one of the four squares touching the circle.
Enjoy!
.Solution code: Bottom Row, left to right:
Comments
on 6. July 2026, 22:47 by D3M4R
super smart debut, great use of reductions
on 30. June 2026, 21:24 by EYEONYSUS
REALLY enjoyed this one. Excited to see more from you!
on 29. June 2026, 19:25 by Gem024
Updated the difficulty based on feedback
on 29. June 2026, 19:23 by Gem024
Thanks for the feedback and nice comments! I'll be sure to keep it all in mind for my next puzzle.
on 29. June 2026, 12:02 by VitP
for sam:
the box 5 rsl has 3 options.
track it through IN DETAIL to col 1, & you find that 2 are impossible.
and it will have ONE degree of freedom. so 369 are excluded.
after a lot of work elsewhere, including BASIC sudoku, you find that one of its cells takes that degree of freedom, and therefore the other 2 cells must be ...
for setter:
nicely done, but likely too hard for beginners --> level 3.
technical suggestions:
1) use PEACH for entropy lines.
2) people have by now worked out the most succinct statement of the rule for this type of rsl : "box borders divide the blue line into SEGMENTS having the same sum"
on 28. June 2026, 08:15 by Exigus
Loved the interactions around box 4+7. Thanks!
on 27. June 2026, 22:05 by SanFranSam
I thought that i had done some pretty good solving. Got down to three options for the blue region sum in box 5. Couldn't see right one so i bifurcated my way to the right one. I suppose there might be a way to see it but i couldn't. ¯(ツ)/¯
on 27. June 2026, 14:59 by fractalminding
55 minutes for placing first digit. I don't know how it's possible it's your first sudoku. Cool! ♥️
on 27. June 2026, 03:32 by RockyRoer
Hmmm... 25 minutes and i've only placed one digit... i think this may be 3 stars...
on 26. June 2026, 22:57 by Gem024
Just fixed the image.
