Magic with Divisors and Multiples (Hidden Whispers)
(Published on 21. July 2020, 16:40 by SudokuExplorer)
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).
Solution code: Enter the first and last columns (top to bottom) without spaces/commas. Eg 123456789123456789
Comments
on 21. February 2025, 08:17 by sockerbecca
This puzzle is awesome!
As for my solve, I worked hard and made some painstakingly slow progress... then, I re-read the rules and remembered the magic centre square! XD Very smooth and easy solve after that.
on 31. July 2021, 20:21 by SudokuExplorer
Fixed tags
on 31. October 2020, 18:00 by SudokuExplorer
@TimE Thanks for trying it. :-)
I'm glad you found this one after trying volatility's lovely factor attractor (id=0003Z4).
on 29. October 2020, 17:09 by TimE
Enjoyed this as much as volatility's factor attractor :-)
on 23. July 2020, 12:33 by SudokuExplorer
Added table of divisors and multiples, plus increased difficulty to 4 stars.
on 22. July 2020, 13:11 by SudokuExplorer
Added note about whispers
on 22. July 2020, 13:06 by SudokuExplorer
@SirWoezel Thanks! I'm pleased you had fun!
on 21. July 2020, 18:19 by SirWoezel
Wonderful
on 21. July 2020, 16:47 by SudokuExplorer
Added penpa link
