hello DubiousMobius
(Published on 5. July 2025, 00:00 by aqjhs)
Happy Birthday DubiousMobius! 🥳
I can't think of a better puzzle-way to celebrate than a DubiousMobius-inspired double-torus chaos-construction. 🍩🍩
- Divide the grid into ten orthogonally connected regions and place the digits 0 to 9 once each in every row, column and region.
- The grid is a double torus: the edges of the grid are identified as the coloring indicates (for example, r5c10 is considered orthogonally adjacent to r1c1). Regions and arrow sightlines (orthogonal and diagonal) wrap around the edges of the grid. Diagonals do not wrap across the singular point, marked with a black diamond.
- Cells marked with letters have the same digit if and only if they have the same letter. Only letters from the title are used.
- Cells joined by a black dot have digits in a 1:2 ratio, and they belong to different regions. Not all possible dots are given.
- Cells marked with short blue arrows have a digit equal to the combined count of all the cells in its region that are seen in the direction of the arrows (including itself). Region borders break blue arrows' sight.
- Cells marked with long red arrows have a digit equal to the count of different regions seen in the indicated direction (including its own) before returning to its own region. (For example, if an arrow on region A has a sightline that goes A→B→C→B→A, its cell will contain a 3 since it sees regions A B C.)
Online in Sudokupad (and with extra identification tags)
See also:
Solution code: Column 8, top to bottom, with a dash for each region border (ex. 012-345-67-89)
Comments
on 8. July 2025, 20:15 by dustpan
Great puzzle. The torus aspect messes with your head a bit, but overall the logic is pretty straight forward. Difficult to keep track of what clues I had used, and which were still useful. Just takes some patience, and in the end feels very rewarding to solve!
on 7. July 2025, 14:39 by Lorena
Brain fried after puzzle. Very torus. Much long time. Such worth it. Wow.
on 6. July 2025, 21:39 by Gnosis66
Fantastic puzzle.
on 6. July 2025, 20:26 by aqjhs
Clarification: the spaces outside the grid are for note taking and they show the clues on the corresponding cells on the other side.
on 6. July 2025, 11:48 by andreatetta
I have two question about the rules:
1. What do you mean by two numbers are in a 2:1 ratio? Does it mean that either x/y=2 or y/x=2? Or do you mean either 2x=y or 2y=x?
2. Im not sure which cells ar pointed to by an arrow in a direction that leaves the grid in a black diamond. For example, which cells are seen by the blue arrow in R7C9?
***
for the 1:2 ratio 1x=2y is the way to go (one being double the other), and yes, diagonals just stop at the diamond because there's no well defined angles around it.
on 5. July 2025, 00:15 by DubiousMobius
Thank you again for this stunning gift! A delight from start to finish!
