Kropki on Double Torus
(Published on 28. October 2020, 19:35 by JivkoJ)
The board consists of two layers. Each layer is a double-cyclic square a.k.a. torus. (Torus is also popular as the shape of Sigil, the City of Doors.)
PUZZLE RULES
- Standard SUDOKU rules apply for each layer/torus
- For each layer/torus ALL BLACK Kropki dots are given. (Those that indicate RATIO OF 2 between cells.)
- “PORTALS” between layers/tori are represented with letters (colors on f-puzzles). Digits of corresponding cells of each “portal” have RATIO OF 2. NOT ALL possible “portals” are visible.
- ANTI-KING rules apply for digits 4, 5 and 6 on each TORUS. (No same digit can appear one cell diagonally adjacent from itself.)
Penpa+ (by SudokuExplorer):
Both Layers:https://tinyurl.com/yypt68ob
F-Puzzles:
Left Layer: https://f-puzzles.com/?id=y3nzm8zc
Right Layer (rotated right): https://f-puzzles.com/?id=y25vemq4
Enjoy!
Solution code: Row 2 of the picture, both layers - 12 digits
Comments
on 6. April 2023, 06:20 by zrbakhtiar
on the right layer, 1 and 4 can be swapped and still obey the rules.
Not exactly => Switching 1-4 violates circular Anti-King dependencies (since each layer is Torus-shaped).
on 29. October 2020, 09:23 by JivkoJ
One rule removed.
(Thank you Statistica)
on 29. October 2020, 07:55 by JivkoJ
Penpa+ link added.
(Thank you SudokuExplorer!)
on 28. October 2020, 23:01 by SudokuExplorer
Here's a penpa+ link: https://tinyurl.com/yypt68ob
