Chaos Construction: Broiled Doppelganger (6x6)
(Published on 15. February 2025, 13:23 by bodemeister)
Links including tracking cells:
| 4x4 puzzle | LMD Link | CTC Link |
| 6x6 puzzle | LMD Link | CTC Link |
| 9x9 puzzle | LMD Link | CTC Link |
Rules:
- Chaos Construction: Divide the main grid into six nonoverlapping regions such that each region is a set of six orthogonally-connected cells.
- Doppelganger: Place the digits 0-6 into the square grid such that digits do not repeat in each row, column, and region. Digit 0 appears in every row, column, and region, but each other digit is missing in exactly one row, one column, and one region. For each 0, the digit missing in that 0's row, column, and region must be three different numbers.
- T-lines: Grey lines are called T-lines and have the following properties:
1) Digits strictly increase along the line from one end to the other, with the direction of increase to be determined by the solver. 2) No T-line can visit a region exactly once. For example, if a region contributes digits 1, 3, and 6 to a line, then there is a different region contributing at least one digit between 1 and 6 to the line. - Grey circles: There is an independent, invisible, 4-cell T-line through the four cells surrounding each grey circle. Invisible T-lines may share cells with visible T-lines.
Solution code: The digit missing in each 0's region, beginning with the 0 in the top row and moving downwards.
Comments
on 24. February 2025, 10:35 by wullemuus
Congrats to this brilliant series of Doppelganger puzzles! It was a pleasure to be part of the construction journey. You brought intricate rulesets perfectly together! The intermediate one is exactly that what I've expected- balanced in difficulty and highly instructive to be prepared for the last one.
------------
Thanks a lot for testing different versions and for all your feedback including recommending an intermediate 6x6 puzzle!
on 19. February 2025, 10:02 by bodemeister
Edited the rules for clarity
on 16. February 2025, 02:40 by Hagemann
I am a bit confused by the ruleset. „No region can contribute only one cell to a T-line“ -> does that mean that for every T-line, if a region contributes to it, this region contributes at least twice to that same T-line? Or that, if a region contributes to any T-line, it has to have at least another cell on any T-line (but not necessarily the same one)?
------------
Any region contributing to a T-line must contribute at least 2 cells to that T-line
——————
Then I do not see how you can obey rule (3) with the given shapes of the T-lines… the bottom left one needs to consist of at least 3 regions, but then I cant get the vertical T-line to work…
-------------
The bottom-left T-line could only have 2 regions. For example, one region could contribute 0,1,2,5 and the other region contribute 4,6.
