Doll House (Abstract 3x3's, Renbans, German Whispers, Arrows)
(Published on 8. August 2022, 14:52 by AnalyticalNinja )
Digits on an arrow sum to the attached circle. (Two digit sums read from left to right or top to bottom. Digits may repeat on arrows if allowed by other rules.)
Digits on purple lines contain sets of consecutive, non-repeating digits in any order.)
Adjacent digits on green lines must differ by at least 5.
This puzzle is solved in two stages:
1) Normal 9x9 sudoku rules DON'T apply.
Each 3x3 box within the grid will be independently solved as an abstract 3x3: fill each box with three digits, selected from the range 1-9, such that no digit repeats within a row of column of that box. The solver must determine which three digits each box contains.
Additionally, when solving individual boxes as abstract 3x3's, ignore line segments between cells in different boxes.
(Digits from this stage will be used in the solution code.)
2) Erase all digits within the grid whose cell position within their box DOESN'T match their box position within the grid (example, you WON'T erase r1r1 in box 1, r5c9 in box 6, and r9c5 in box 8).
Then solve as a regular variant sudoku using the constraints in the grid and remaining numbers as givens.
Normal sudoku rules will apply at this point.
F-Puzzles Link
CTC App Link
PuzzleTV Link (recommended)
Solution code: Column 7 before erasing digits in stage 2, followed by column 7 of the final solution. (18 digits no spaces)
Comments
on 4. October 2022, 20:35 by Felis_Timon
I should start reading what is needed for the solution code before I solve the puzzle(s)
- I'm so sorry, I didn't realize how problematic it could make the solution code. Hopefully the solve was enjoyable at least!
on 14. August 2022, 23:30 by AnalyticalNinja
Added PuzzleTV link (Thanks so much Chameleon!)
on 10. August 2022, 23:51 by sacklunch
Super fun puzzle(s)! I saw Simon solve a similar 10-part puzzle on CtC recently; what a joy to find a puzzle with a similar concept here. Thanks so much for the beautiful setting.
- Thanks so much for letting me know how much you enjoyed it! I actually created the one Simon solved also, it can be found here:
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000AO9
Also I plan on posting another one in a couple days, so feel free to be on the lookout for that one too. ;)
on 9. August 2022, 22:23 by mathpesto
Another marvelous construction! Hope to see more of these :)
- Absolutely! I've actually got another one in the works as we speak!
on 9. August 2022, 21:01 by asp1310
For step one, do you (a) completely ignore all lines which cross boxes, or (b) still apply those lines within the box but pretend the lines stop at the box’s edges? I.e. Is it (a) r1c4 and r2c5 do not need to be consecutive at all. Or (b) they DO still need to be consecutive within the box itself (say 1 and 2), but may repeat r2c3 and r3c3 in Box 1 (say 1 and 2 again, or 3 and 2) or not be consecutive with r2c3 and r3c3 in Box 1 (say 8 and 9). If it’s (a), do you also ignore lines which are only in one box anyway (r8c8 and r8c9)?
- B) ignore the line sections between cells that are in different boxes. So utilize the sections within the box you're solving, but ignore the sections outside of it.
on 9. August 2022, 17:10 by AnalyticalNinja
Thanks Simy, Samish, farofin64, and wilsig for your kind words, I'm so glad you all enjoyed my puzzle so much!
on 9. August 2022, 11:53 by wilsig
Brilliant!
on 9. August 2022, 10:58 by farodin64
Very cool idea, thanks for the fun!
on 8. August 2022, 21:04 by Samish
Very very fun puzzle, I loved all the arithmetic going on in the abstract 3x3s ! And the way it all connects together is stunning, once again. A pleasure to test this one, as always :D
on 8. August 2022, 19:35 by Simy
Really cool puzzle.
