Spiral Galaxies / Bent Hashi
(Published on 23. August 2020, 18:20 by stefliew)
Intergalactic Highways (ruleset by shye)
1. Planets (numbered black circles) are the centers of point-symmetric galaxies (orthogonally connected regions of cells). All non-moon cells must belong to exactly one galaxy and cells containing a moon do not belong to a galaxy. Galaxies cannot overlap.
2. Planets double as Hashi clues. The numbers on each planet show the number of highways connected to that planet. Moons must be connected to exactly one highway. The whole grid must be interconnected through highways.
3. Highways must start and end at planets or moons. Highway segments can only be horizontal or vertical. Highways can bend at most once in each cell, but can bend any number of times in total. Highways cannot pass through asteroid belts (thick black edges between cells). Highways cannot cross themselves or each other. Highways cannot visit the same cell more than once. (This means no U-turns, no loops, no turning back to the same planet)
4. Highways must visit at least two cells in each galaxy they pass through. (This also means there are no single-cell galaxies.) Highways cannot visit the same galaxy more than once. Highways connected to a moon must visit exactly one galaxy and cannot visit another moon. Highways not connected to moons must visit exactly two galaxies.
5. Every cell must be visited by at least one and at most two highways.
Example puzzle
Play on Penpa
Puzzle
Play on Penpa
This puzzle was inspired by shye who came up with this ruleset and made a puzzle with it. I liked it very much so I tried to make my own puzzle and felt it was good enough to post here.
Solution code:
The number of turns in rows 2,5,7 and columns 2,7,11.
Count each highway lane separately for turns. If two highway lanes turn in the same cell, that's 2 turns; if two highway lanes enter the same cell but one goes straight and the other lane turns, that's 1 turn.
For the example, rows 1,5,6 and columns 3,5,6 the solution code would be 684663
Comments
on 20. October 2022, 09:10 by Gliperal
Inputting the solution code was harder than the puzzle itself (and the puzzle wasn't easy!) :D
on 9. September 2020, 09:12 by stefliew
Minor revision to rules
on 9. September 2020, 08:43 by Dandelo
The example and the word hashi suggest that two highways cannot cross each other. But it is not said in the rules. Is it possible to cross?
From stefliew: No, highways cannot cross each other. Thanks for pointing out a loophole in the rules.
on 24. August 2020, 03:44 by stefliew
I wish I could condense the rules but I don't know how to do that without losing clarity. A lot of it is common sense, but there are some people with uncommon sense who like to do weird things. Since I can't condense the rules, I've done the next best thing and highlighted the important bits you need to get started.
on 23. August 2020, 20:31 by shye
beautiful solve path, takes the logic of both the spiral galaxies and the hashi so much further than i'd explored in the first one, loved it :D
on 23. August 2020, 20:02 by Jesper
Very enjoyable! I really like these puzzles (both this one and shye's). The rules may seem long at first glance, but they don't feel complicated once you start using them.
