Welcome to Skyscrapers!
Imagine you’re a city planner who is tasked with designing a skyline filled with skyscrapers of varying heights. But there’s a twist – you need to arrange these towering buildings according to unique rules that rely on combining the logic of Sudoku with the challenge of the Skyscrapers grid. It’s a brain-teasing, skyline-creating adventure!
The Basics
Skyscraper is a Sudoku variant with a couple of twists. Just like traditional Sudoku, Skyscrapers is played on a grid. However, instead of the usual 9×9 grid, you might find yourself working with a 6×6 or even a 4×4 grid, depending on the puzzle’s difficulty. Each square in the grid is like a plot of land where a skyscraper can be built. The numbers in the grid represent the heights of the skyscraper. In a 6×6 grid, these are numbers from 1 to 6, where 1 is the shortest skyscraper and 6 is the tallest. Along the edges of the grid you may find clues. These clues tell you how many buildings you can see from that point of view. Sounds easy, right?
Building Blocks
The Grid: The grid is made up of squares with each square representing a plot of land where the skyscraper can be built.
The Skyscrapers: These are the numbers you will place in the grid. Each number represents a skyscraper of a certain height. In a 6×6 grid, these would be the numbers 1 through 6, where 1 is the shortest building and 6 is the tallest building
Construction Clues: Along the edges of the grid, you may see numbers for different points of view. These numbers tell you how many skyscrapers are visible from the point of view. Remember: Taller skyscrapers block shorter skyscrapers.
Hidden Views: Not all points of view will have construction clues. It’s your job to solve the mystery and construct a building of the right height based on other areas of the puzzle.
The Rules of Construction
Just like in Sudoku, within a row or column a number cannot appear more than once. In our city, this means each row and column should have skyscrapers of varying heights without any repeats. Along the edges, there are number clues to help you find the right heights. These numbers tell you how many buildings are visible from that position and direction. Say your clue is the number 1. This means that from that point of view you can only see 1 building. Therefore, in a 4×4 grid, the building height would be 4 because it’s the only height that blocks the view of all other buildings. Here is an illustration showing the varying heights and building views from different perspectives:
Initial Strategies
When starting to play Skyscrapers, it can be a bit of a challenge knowing where to start. Here are a few simple strategies to get you started.
Start with the Extremes
When the clue you see is either the lowest or highest number, solving the square nearest that spot is easy. If the clue is the number 1, that means you can only see one building. This building will be the largest building because it blocks all other buildings. If the construction clue is the highest number, say the number 4 in a 4×4 grid, then you can see all the buildings and you can confidently create the buildings in that row or column from the shortest to the tallest.
Process of Elimination
Use your Sudoku skills! If a number can’t go in one place due to the rules, see where else it might fit. Using notation may help.
Look for Patterns
Sometimes, the arrangement of skyscrapers in one row will give you hints about other rows or columns.
Put on Your Sudoku Hat!
Skyscraper is a variant of Sudoku and similar strategies to solving the puzzle apply.
Stay tuned for additional basic and advanced strategies!
Looking for Sudoku puzzle variants?
Check out our favorite Sudoku based logic puzzles!
Check out our favorite Sudoku based logic puzzles!