Hyperextension (with Matt Tressel)
(Published on 5. March 2025, 17:26 by ChinStrap)
A Scojo setting prompt where we were to collaborate with new people. I had a great time with Matt Tressel (aka MSDOS) setting this. Matt suggested a variant on entropy lines, and I suggested a constraint originally I saw from juggler. Thank you to all who tested!
Rules:
- Normal sudoku rules apply.
- Silent Serial Killer: Digits may not repeat in cages. If the sum of a cage is a 1-digit number, that number must be in the cell pointed at by the cage's northwest corner. If the sum is a 2-digit number, it must be in the domino formed by that cell and the one to its left. (Example: if the sum of the cage in Box 3 was 9, then r1c6 would be 9. If it's sum was 12, then r1c5 would be 1 and r1c6 would be 2)
- Tentropy Lines: Every set of 4 adjacent digits on a peach line must contain a digit from each of the X-pair (ten-pair) subsets of {1,9}, {2,8}, {3,7}, and {4,6}. A 5 may not appear on a tentropy line. Digits on a line may repeat if allowed by other rules.
Below is an example of how cage totals work for clarification. The yellow cells are the totals of the cages they touch diagonally.
All feedback (positive or critical) appreciated!
Solution code: Column 5, top to bottom (9 digits)
Comments
on 9. March 2025, 11:52 by juggler
Lovely puzzle!
on 6. March 2025, 13:17 by Snookerfan
Beautiful, fun and smooth puzzle! Thank you
on 5. March 2025, 18:13 by gdc
Haven't seen tentropy lines before but enjoyed them a lot. I'm generally a fan of the logical flow of 3 star mod/entropic lines puzzles and this one is no exception. The interactions with killer rule are very clever.
on 5. March 2025, 17:55 by sujoyku
Wonderful puzzle! You combined the constraints in such a fun way that I cannot wait to set with them myself. Thank you for this incredible collab puzzle, ChinStrap and MSDOS!
on 5. March 2025, 17:55 by MSDOS
What a wonderful opportunity this was to collaborate with ChinStrap! I had a great time working on this one. Thanks to @scojo as well for the prompt. This puzzle would not have happened without it!
