Double Spiral Galaxies by Serkan Yürekli
or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a shading mode.)
Theme: Logical
Author/Opus: This is the 160th puzzle from our contributing puzzlemaster Serkan Yürekli.
Rules: Variation of Spiral Galaxies. In addition to the standard rules, some circles are shaded gray and must belong to galaxies containing two gray circles, not one, with the circles in rotationally symmetric spots for those galaxies.
Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. Separate each row’s entry from the next with a comma. The example has the answer “52,11131”.
Time Standards (highlight to view): Grandmaster = 2:00, Master = 3:45, Expert = 7:30
Solution: PDF; a solution video is available here.
Note: Follow this link for classic Spiral Galaxies puzzles on this website and this link for variations on Spiral Galaxies puzzles. If you are new to this puzzle type, here are our easiest Spiral Galaxies Puzzles to get started on. More Spiral Galaxies puzzles will soon be found in The Art of Puzzles 2.
Interesting variant — logic with the double galaxies added seems to operate differently, with considering the ways they can pair up.
Wonderful puzzle.