Kakuro (Hex) by Serkan Yürekli
or solve online (using our beta test of Penpa-Edit tools)
Theme: Dogbone
Author/Opus: This is the 68th puzzle from our contributing puzzlemaster Serkan Yürekli.
Rules: Fill all empty hexes with digits from 1-9 so that all number clues (in white) indicate the sum of the digits in that direction. Digits cannot repeat in any entry (i.e., any group of hexes connected either horizontally or in one of the two diagonal directions, without any black cells separating them). This no repeat rule applies even for unclued entries.
Answer String: Enter the values in each cell in the marked rows from left to right, separating the rows with a comma.
Time Standards (highlight to view): Grandmaster = 2:00, Master = 2:30, Expert = 5:00
Solution: PDF
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This was fun.
I did misinterpet the rules at first, thinking that the proscription against digits repeating in “an entry” applied only to rows with indicated sums. (I imagine the correct rule would have been more obvious to someone with more Kakuro experience than I have.)
Our vocabulary seems to be missing analagous words for “rows or columns” to apply to a hexagonal grid. Perhaps something lile “Digits cannot repeat in any straight line of connected cells”?
What Carl said about the rules. I enjoyed this once I read his comment and knew for sure what I was supposed to do.
I really enjoyed this one. It had that nice feeling that at first you wonder how there is going to be enough given information to solve the thing uniquely, and then everything starts snapping into place.
I looked at this and thought exactly the same. There just doesn’t look to be enough information to be able to solve it, especially as all the clues are pointing outwards, but instead it has a really nice flow about it.
I think one of the reasons also is that contrary to normal Kakuro, clues aren’t located on the outside, so it gives a feeling of there being far less clues than normal, because clues are all located within the same 5 cells.
When solving I had a bit of a problem of noticing all clues, because they’re not all pointing from the same side for each direction.
5:46
03:44.
Impressive puzzle with so many lines going on that there doesn’t need to be many sum clues. I think all sum clues were needed? That’s also an elegance in itself.