In a Kropki Far, Far Away
(Published on 12. October 2024, 01:57 by yttrio)
This puzzle was directly inspired by White Circle Galaxies, a puzzle by mathpesto. Estimated difficulty is between 3 and 4 stars.
Rules:
Normal Sudoku rules apply.
Divide the grid into galaxies (regions of one or more orthogonally connected cells) such that every cell is a part of exactly one galaxy. Digits may not repeat within a galaxy. Each circle belongs to exactly one galaxy, and that galaxy is rotationally symmetric about it. All galaxy centers are given.
A circle within a cell contains a digit equal to the size of its galaxy.
A circle on the edge of two cells acts as a Kropki dot: digits separated by a white circle are consecutive, and digits separated by a black circle have a ratio of 2:1.
A circle on the corner of four cells acts as a diagonal Kropki dot: digits diagonally connected by a white circle must be consecutive, and digits diagonally connected by a black circle must have a ratio of 2:1.
Solution code: Row 6 with hyphens where there are galaxy borders (e.g., 123-4567-89)
Comments
on 13. October 2024, 16:53 by itsid
what?
I don't get it!
The puzzle essentially solves itself with just the given kropki dots.
galaxies make absolutely no sense at all (other than for entering the Solution code that is) I like galaxy puzzles hence me playing this, but I was hoping they'd add more than just some dividing lines to the puzzle...
Ah well maybe I was just expecting too much.
Loved the idea though!
--------
The galaxies are important due to the rule that digits cannot repeat within a galaxy. Even if you give the digit in r5c5 (which galaxies are required to know), there are over 200 solutions without that restriction.
~yttrio
on 13. October 2024, 13:32 by LehanLehan
Wow,what a puzzle, thank you very much,yttrio
on 13. October 2024, 12:40 by Franjo
Amazing puzzle with a fairly easy break-in. Incredible how the careful setting leads to a unique solution. Using kropki as galaxy centers seems quite natural at first sight, but that it could work without any other constraints or concrete givens - sensational! Thank you so much for sharing this masterpiece.
on 13. October 2024, 00:25 by mathpesto
A very fun hybrid of galaxy and sudoku; some very cool killer logicc!
on 12. October 2024, 20:54 by Jolly Rogers
Very nice construction, really rewarding to uncover each step to this one. Every stage of this puzzle was fun - thanks!
