Triangle and Square Number Sudoku
(Published on 9. June 2020, 05:47 by RockyRoer)
This puzzle is my first published puzzle. I have made a number of sudoku variants in the last six weeks which I hope to get some feed back on.
- Standard sudoku rules apply
- Normal killer sudoku rules apply, but sums have been replaced with either a square or triangle, depending on whether the sum is a square number (1, 4, 9, 16, 25, 36) or a triangular number (1, 3, 6, 10, 15, 21, 28, 36, or 45). When a sum is 1 or 36, both a square and triangle are shown.
- The symbol is always in the cell containing the greatest number in a cage.
- The combination of numbers within a cage is never repeated in any other cage.
- Along the outside of the grid, when the first x cells in that direction (where x is the first number in that direction) add to a square or triangular number, the symbol is given. Examples:
- A square would be in front of the row 315897642 because the first 3 cells add to 9, a square number.
- A triangle would be behind the row 315897642 because the last 2 numbers add up to 6, a triangular number.
- The row 632149857 would NOT have a symbol in front because the first 6 numbers add up to 23 which is not a square or triangular number. A square and triangle would be behind the row because the last 7 numbers add up to 36.
- Finally, there is a 3x3 square containing only even numbers in the grid, and a 10-cell triangle shaped region containing only odd numbers.
Solution code: Enter the 10 odd numbers in the triangle shaped region followed immediately by the 9 even digits in square region, with no spaces or symbols in between. For example: If the triangle region is: 1 35 791 3579 and the square is: 246 824 682 Then the code is: 135791357924682468
Comments
on 5. February 2021, 12:19 by RockyRoer
Added f-puzzles link
on 24. June 2020, 17:00 by Richard
I have spend some time on the printer friendly version, and was wondering if:
a) I misinterpreted the rules or
b) at least one symbol outside the grid was missing.
Looking again at the coloured version, it turned out to be b).
Hence: can you update the printer friendly version? :-)
Just updated it.
on 15. June 2020, 03:39 by RockyRoer
clarified solution code with an example
on 10. June 2020, 14:37 by RockyRoer
Added printer friendly version
on 10. June 2020, 14:32 by RockyRoer
Reworded instructions.
on 10. June 2020, 05:26 by Rotstein
@RockyRoer here are some links for setting puzzles - https://rjrudman.github.io/penpa-edit/ - https://www.f-puzzles.com/ - they are both easy to do cages and thermos and everything
on 10. June 2020, 04:35 by Nylimb
@RockyRoer: If you're familiar with Postscript, you can download and modify the EPS template file at:
http://wiki.logic-masters.de/index.php?title=Datei:Killersudoku-A.eps
(I haven't used it myself; I write my own EPS files for my puzzles.)
You can reply to a normal comment by just writing a new comment; it's common to begin such a reply with "@Nylimb" or whatever name is appropriate. If you want to reply to a hidden comment without everyone being able to see your reply, then editing the comment is the only way that I know of. That way the person who wrote the comment can see the reply, as can anyone who has solved the puzzle, but other people who haven't solved the puzzle can't.
on 10. June 2020, 04:10 by Nylimb
This was a fun puzzle.
One suggestion for future puzzles: Some of the colors, like the blue and purple, are hard to distinguish on my printout of the puzzle. Adding dotted lines around the cages would make them clearer.
Reply: I know that is a difficulty, and I want to make it look like normal 'killer sudoku cages' but I don't know how to do that easily. Is there a tool people use to create look? A website perhaps?
Also, is there a way to reply to a comment without 'editting' it? This seems awkward and I think i'm missing something.
on 10. June 2020, 02:17 by RockyRoer
Updated: New picture after mistake was found and clarified instructions about outside clues.
on 9. June 2020, 18:13 by Luigi
The outside square in row 7 should be a triangle as well, doesn't it? If R7/C1 is a single triangle cell, the outside hint has to be a triangle as well.
Reply:
No, actually. The outside clues look at the first number in that row (x) and adds up the first x numbers and if THAT total is a triangular or square number, the symbol is shown. In the C2R1 case, the first number x is triangular, and the sum of the first x items is square. I will try to clarify the instructions.
on 9. June 2020, 18:03 by Luigi
Maybe there is a mistake in the grid.
In R2C1 there should be a triangle.
Reply: Yep -- you're right. I'll update.
I have a solution with a 3x3 square with even numbers and a triangle region: The solution code read from left to right, top to bottom reads: ########## #########. But this code is not accepted. Please check!
Reply:
Sorry, this code is not actually correct. The triangular region should have some 9's. I also meant no space in between. I’ll clarify that and repost soon. Thanks!
on 9. June 2020, 06:16 by RockyRoer
Updated with picture
on 9. June 2020, 06:15 by RockyRoer
Have fun!
