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Home»Science»Math puzzle: The 4 islands
Science

Math puzzle: The 4 islands

VernoNewsBy VernoNewsSeptember 19, 2025No Comments2 Mins Read
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Math puzzle: The 4 islands
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As soon as upon a time, 4 queens often called the queens of blue, crimson, inexperienced and pink had been locked in a bitter feud. The monarchs lived on 4 islands, all the identical measurement, but every with its personal distinctive wildlife and vegetation. Every queen plotted to overcome all 4 islands for herself, and battle would definitely have begun, if not for the well timed intervention of the 4 queens’ sensible and peacemaking daughters.

The intelligent princesses proposed a compromise:

  1. So that everybody might benefit from the islands’ full selection, every island can be damaged right into a grid of 20 equally sized plots, and every queen would rule over 5 plots on every island.
  2. To keep away from trespassing and border disputes, every queen’s area on every island can be a single well-connected area.
  3. In order that the queens might regulate one another, the 4 domains on every island would meet someplace at a single nook.
  4. And lastly, to stop exterior affect and to keep up the peace, the maps can be saved a secret from outsiders.

Consumed with curiosity, I despatched my assistant as a spy. He got here again with one full map and three partial maps, that are proven beneath.

My assistant gathered one different scrap of intelligence: On the fourth and closing island (backside proper), no two areas are the identical form nor the mirror pictures of one another.

From this info, are you able to full the maps of all 4 islands?

On the lookout for solutions? Go to sciencenews.org/puzzle-answers. We’d love to listen to your ideas. Electronic mail us at puzzles@sciencenews.org.

Questions or feedback on this text? E-mail us at suggestions@sciencenews.org | Reprints FAQ

Ben Orlin is the creator of Math with Dangerous Drawings.

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