Cool Skyscrapers Puzzle - Cut-the-Knot

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SUMMARY

The discussion focuses on enhancing the Cool Skyscrapers Puzzle by integrating elements from Sudoku, specifically a 9x9 Latin square composed of 3x3 subsquares. Participants noted that having edge numbers as either 1 or n simplifies solving, as it creates a unique possibility for placement. Additionally, the observation that if the sum of the numbers at either end of a row or column equals n+1, it facilitates determining the position of n within that row or column. The user shared their progress, highlighting the challenge of solving a 7x7 square and successfully completing an 8x8 puzzle with minimal guessing.

PREREQUISITES
  • Understanding of Latin squares and their properties
  • Familiarity with Sudoku rules and strategies
  • Basic problem-solving skills in logic puzzles
  • Experience with numerical reasoning and pattern recognition
NEXT STEPS
  • Explore advanced Sudoku techniques for solving larger grids
  • Research strategies for solving Skyscrapers puzzles effectively
  • Learn about combinatorial game theory and its applications
  • Practice with different sizes of Skyscrapers puzzles to improve skills
USEFUL FOR

Puzzle enthusiasts, game designers, and educators interested in logic puzzles and their variations will benefit from this discussion.

fourier jr
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http://www.cut-the-knot.org/Curriculum/Games/Skyscrapers.shtml

I wonder of they could make it more like sudoku where there's a 9x9 latin square made out of 3x3 subsquares where only certain numbers of skyscrapers are visible in each rown & column of each subsquare. & beware the creepy eyes watching your every move. Anyway I've found that it's easier when the numbers on the edge are either 1 or n for an nxn, which means there's only one possibility.
 
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Nice one.
 
I think I've also found that if the sum of the numbers on either end of a row or column is n+1 then it's easy to figure out where n goes in that row/column. It takes some practice. I'm still trying to get through the 7x7 square
 
Last edited:
woohoo just solved my first 8x8, & I only had to guess twice :biggrin:
 

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