Magic with Divisors and Multiples (Hidden Whispers)
(Eingestellt am 21. Juli 2020, 16:40 Uhr von SudokuExplorer)
This sudoku is a bit of an experimentation, but it does have a purely logical solution path.
This sudoku can be viewed as being a whispers sudoku, but where you need to draw in whispers.
We have the Anti-Knight constraint = No two cells a knight's move away can be equal.
Also the central 3x3 box is a
magic square (the sums of each row, column and both diagonals are equal).
Moreover certain cells are coloured red. All red and white cells are given.
A cell is red if, and only if, at least one edge-adjacent cell is a divisor/factor or a multiple.
For example, if a cell containing 3 is red then at least one edge-adjacent cell contains a 1, 6, or 9.
Alternatively, if a cell containing 3 is white then no edge-adjacent cell contains a 1, 6, or 9.
The last condition can be interpreted in the terminology of whispers.
We say that two edge-adjacent cells are "whispering", if one of them divides the other one.
Then the red regions contain all cells that "whisper" with another edge-adjacent one.
However since no whispers are given, you will need to progressively draw in the whispers.
You can try this on
Penpa-Edit. I hope you have fun discovering the whispers!
For some assistance, I have now added (below sudoku) a table of divisors and multiples (excluding itself).
Table of Divisors and Multiples:
Lösungscode: Enter the first and last columns (top to bottom) without spaces/commas. Eg 123456789123456789
Zuletzt geändert am 31. Juli 2021, 20:24 Uhr
Gelöst von SirWoezel, MumboJumbo, NikolaZ, Hareeb, Greg, zorant, emmettcito, MagnusJosefsson, Volatility, polar, shinkimancer, CaneloC, Storm, TimE, Dina, sandmoppe, Vebby, KatiBru, starelev5
Kommentare
am 31. Juli 2021, 20:21 Uhr von SudokuExplorer
Fixed tags
am 31. Oktober 2020, 18:00 Uhr von SudokuExplorer
@TimE Thanks for trying it. :-)
I'm glad you found this one after trying volatility's lovely factor attractor (id=0003Z4).
am 29. Oktober 2020, 17:09 Uhr von TimE
Enjoyed this as much as volatility's factor attractor :-)
am 23. Juli 2020, 12:33 Uhr von SudokuExplorer
Added table of divisors and multiples, plus increased difficulty to 4 stars.
am 22. Juli 2020, 13:11 Uhr von SudokuExplorer
Added note about whispers
am 22. Juli 2020, 13:06 Uhr von SudokuExplorer
@SirWoezel Thanks! I'm pleased you had fun!
am 21. Juli 2020, 18:19 Uhr von SirWoezel
Wonderful
am 21. Juli 2020, 16:47 Uhr von SudokuExplorer
Added penpa link