Dark Matters
(Published on 16. December 2020, 00:50 by steelwool)
Here is my homage to that amazing series currently on TV, His Dark Materials.
The Sudoku universe contains just 9 states of matter, given the numbers 1 to 9.
There are the Elements (denoted by prime numbers).
There are Compounds, made with two or three identical molecules of the Elements. The number of the Element is raised to a power to give the number of the Compound.
Finally, there are the two types of Dark Matter.
In each of the nine 3x3 boxes, there is a diagonal containing at least one molecule of Dark Matter, with the centre being either the sum or difference of the numbers at the ends of the diagonal.
Compounds never appear in the centre of a box.
In prime numbered boxes, the centre is an Element. Each of these boxes has a different Element at its centre.
One diagonal is of interest in each box, and all the diagonals (one in each box) in the prime numbered boxes are either sums or differences, not a mixture.
In boxes with the same number as Dark Matter, the centre is an Element and in this case there are two molecules of Dark Matter on one diagonal.
In addition, there are two Elements at the corners of the other diagonal.
In one of these boxes the centre is the sum of either of the diagonals, and in the other the centre is the difference for both diagonals.
The Subtle Knife has slashed a line in the fabric of the Sudoku universe, a single line yet square.
Normal sudoku rules apply. Cages do not have repeated digits.
The little killer clue (the Subtle Knife) may have repeated digits on the diagonal.
Solve the puzzle online F-Puzzles
Solution code: Enter the digits from column 6 followed by row 7.
Comments
on 27. August 2021, 11:04 by steelwool
add online puzzle link
on 17. December 2020, 18:07 by steelwool
Clarify diagonals used in dark matter (two) and in primes (one).
on 16. December 2020, 18:02 by steelwool
Added column number to solution code!
on 16. December 2020, 17:00 by PrimeWeasel
I think I understand all of your rules, besides the Subtle Knife, should there not be a value given? Otherwise, I have no idea what to do with it. Also, your solution code does not specify the column...
Thanks. I shall add the solution code. The subtle knife is 'a single line yet square', ie diagonal sum is x2.
Ok, I think, has that something to do with a 9-dot riddle, coding or this series?
Not really. I originally came up with the idea of diagonal sums in my Prime Corners puzzle, but the dark materials idea gave me an excuse to change the rules and try it one more time. Hope you have fun with it, it's easier than Prime Corners
