Foggy Skyscraper Killer Sandwiches
(Published on 12. May 2025, 01:04 by pagedo)
Normal Sudoku rules apply.
Outside the Grid Digits/Clues:
Skyscrapers (Icon: ) - Each cell represents a ‘skyscraper’ whose height is the digit in that cell. Taller skyscrapers obscure the view of smaller ones. Clues outside the grid tell how many skyscrapers are visible looking across the row or column from the direction of the clue.
Little Killer (Icon: ) - Clues outside the grid gives the sum of the digits on the indicated diagonal. Digits may repeat along the diagonal if allowed by other rules.
Sandwich sums (Icon: ) - Clues outside the grid indicate the sum of the digits between 1 and 9 in that row or column.
Other Rules:
Cells with grey squares contain even digits.
Cells with grey circles contain odd digits.
Digits joined by a white dot are consecutive. Cells joined by a black dot, one digit is double the other.
Not all dots are given.
Parts of the board are covered in fog. Placing the correct digits in all the revealed cells will lift more fog and reveal other cells.
Solve with SudokuPad
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Hope you enjoy it. Feel free to give feedback.
Thanks
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Solution code: Column 6 Digits
Comments
on 26. May 2025, 04:27 by TeddieMilo
Super fun! The rules sounded complicated at first, but it's really cool when u play and the flow makes it more fun. Tq!
on 18. May 2025, 18:10 by DonQuichopp
My first skyscraper puzzle, so it felt more difficult for me. Once I understood the rules and how to read clues on the bottom, I got through it, quite nicely. Thank you!
on 17. May 2025, 10:09 by JVA
Column 4 and column 7 were brilliant, wish I could rate this higher than very nice
pagedo: Thanks @JVA. I was very happy setting it first. Then to be able to repeat it - extremely happy.
on 13. May 2025, 22:25 by zilla
@Ganbatte
Imagine that digits are representing buildings of different heights. The digit is how many floors is in the building. Now imagine that you stand where the skyscraper clue is and look across the grid at the buildings in that row/column. Depending on how the buildings are placed some may be placed behind taller buildings so you cannot see them, like if you placed a 7 floor building in front of a 3 floor building, then you wouldn't be able to see the 3 floor building behind the taller 7 floor building, but you would be able to see a 9 floor building placed behind the 3 floor building. The skyscraper clue tells you how many buildings you can see.
An example with a random number sequence: 481937625. From the left you would be able to see 4, 8 and 9 so the clue would be 3. From the right you would be able to see 5, 6, 7 and 9 so the clue would be 4.
Hope this helps.
on 13. May 2025, 21:39 by Ganbatte
I am partway through and enjoying the puzzle. I thought I understood the skyscraper clue but now I realize I don’t. Could someone put it in different words or give me an example? I don’t quite understand the rule. @zilla, thank you very much! I get it now. (Solved! Thanks again.)
on 12. May 2025, 21:03 by treb
fun!
on 12. May 2025, 13:54 by DogSavalas
The lingering fog can be a bit intimidating, but the reveals are really satisfying :-)
on 12. May 2025, 12:29 by AngusWBA
Very nice! Thanks
on 12. May 2025, 12:12 by abadx
A masterpiece. A great compilation of fog with standard constraints and a wonderful solve path
on 12. May 2025, 12:03 by jinkela114514
Is it okay to place digits in the fog although this won't clear fog?
pagedo: @jinkela114514 - Yes definately.
on 12. May 2025, 11:49 by jinkela114514
Why are outside clues in purple?
pagedo: @jinkela114514 - So they don't distract you from the digits you are entering and scanning in rows and columns. It helped me to focus on the Grid box digits.
on 12. May 2025, 09:23 by obi
Lovely logic path!! The constraints flowed beautifully :)
on 12. May 2025, 06:16 by h1dd3ntrip7e
Incredible! I feel very clever. It takes a while to understand how to leverage the skyscraper logic. I love the clues that outside digits that use multiple clues. Awesome!
on 12. May 2025, 03:10 by RussKozerski
Extremely enjoyable. But how could it possibly be a 1-star?
on 12. May 2025, 02:26 by fishsaltyak
Very fun, thanks
