Odd Cogs
(Published on 12. September 2023, 12:41 by Oripy)
This puzzle is a hybrid between an obscure Pencil Puzzle genre Cogs and Sudoku.
Rules:
- Normal 9x9 Sudoku rules apply: Place the digits 1-9 exactly once in every row, column, and 3x3 box.
- Arrows: There are circles in the grid with attached arrows. The digit in the circle is equal to the sum of the digits on the attached arrow. [If two arrows are attached to the same circle, they each independently sum to the value in the circle.] Digits are allowed to repeat along the arrows as normally allowed by other rules.
- Cogs: Shade some cells so that each orthogonally connected area of shaded cells forms a cog: a shape with both 90° rotational and reflective symmetry. Shaded groups may not be orthogonally adjacent, but must all form a single diagonally connected network. The network of cogs must be functional, meaning there may not exist a loop consisting of an odd number of cogs. Small white dots must be shaded, and mark the center of a cog. No 2x2 area may be entirely unshaded.
- Odd cogs: Shaded cells must contain odd numbers.
Example:
Puzzle can be solved on:
The puzzle:
Solution code: Enter all the values of the unshaded cells on the perimeter of the grid, going clockwise starting on R1C1 (at most 32 digits).
In other words: You have to enter the digits in the unshaded cells from r1 (left to right) c9 (top to bottom) r9 (right to left) and c1 (bottom to top).
For the provided example in the description, the code would be: 24652646243456
Last changed on on 12. September 2023, 16:12
Solved by Chami, StefanSch, yttrio, pandiani42, WarriorKitten, KenGlue, DreamLibrarian, Leonardo024, demosthenes, gnilling, Jodelbanane
Comments
on 12. September 2023, 19:22 by yttrio
Very interesting rule set with a great execution!
on 12. September 2023, 16:12 by Oripy
Added link to example
on 12. September 2023, 15:15 by Oripy
Improved description for solution code
Last changed on 12. September 2023, 15:14on 12. September 2023, 14:34 by Chami
Great Puzzle! I had a lot of fun solving it.
@StefanSch: You have to enter the digits in the unshaded cells from r1 (left to right) c9 (top to bottom) r9 (right to left) and c1 (bottom to top).
For the provided example in the description, the code would be: 24652646243456
> Thank you for the feedback! I'm shamelessly stealing your description for the solution code description.