Triangular Cages Killer Sudoku (Dreieckszahl)
(Published on 23. January 2021, 03:25 by Jviscus)
Normal sudoku rules apply. Every row, column, and box must contain the digits 1-9 exactly once.
Triangular Cages: Each cage must sum to a unique triangular number (1,3,6,10,15,21,...). Triangular numbers are typically formed by taking the sum of the first k numbers. 1, 1+2, 1+2+3, and so on. This must not be the way a given cage is constructed - so a 10 cage must not be 1,2,3,4. Additionally, digits may repeat in a cage, but must all share the same count - so a 10 cage could be 2,3,2,3 but not 1,1,1,7.
Thermometers: Numbers on a thermometer increase away from the bulb.
The puzzle can be played in software here.
Solution code: Rows 8 and 9 of the finished grid: XXX XXX XXX XXX XXX XXX
Comments
on 31. July 2023, 16:59 by Crusader175
It's very easy to miss the rule about all cages have different sums. Nonetheless, very nice puzzle!
on 31. July 2023, 07:16 by damasosos92
Absolutely phenomenal stuff! Thank you!
on 14. February 2021, 06:19 by Jviscus
Name Revision
on 25. January 2021, 12:14 by LKegel
Absolutely phenomenal stuff
on 25. January 2021, 11:03 by SirWoezel
One more for on my list of favourites.
on 25. January 2021, 09:24 by Garford
Oh, wow. I didn't expect the finish that beautiful! You really have to focus on every bit and bulb of the puzzle! Brilliant setting!
on 24. January 2021, 23:08 by Jviscus
The rules have been updated to include 6 as a valid triangular number.
on 23. January 2021, 15:39 by Jviscus
Thank you! :)
on 23. January 2021, 10:17 by bigger
That idea of sharing same amount is interesting, nice puzzle(=^▽^=)
on 23. January 2021, 05:23 by Jviscus
Thank you! Glad you enjoyed it :) My first ever set actually.
on 23. January 2021, 05:17 by panthchesh
Thanks for the puzzle! Very interesting concept! :)
on 23. January 2021, 03:30 by Jviscus
I have fixed a typo in the solution code.
