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American Focus > Blog > Tech and Science > Math puzzle: The homesick rover
Tech and Science

Math puzzle: The homesick rover

Last updated: January 16, 2026 6:30 am
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Math puzzle: The homesick rover
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On a distant exoplanet, a rover from Earth has landed on a rocky terrain with a unique mission. However, this rover is feeling homesick and longs to return to its original landing spot. The mission parameters are clear – each day, the rover must move forward in a straight line and then turn 90 degrees. The distance it travels each day increases by one kilometer, starting from one kilometer on the first day.

Despite the strict instructions, the rover is determined to find a way back to its landing site. The challenge lies in deciding whether to turn left or right at the end of each day. With eight days to complete the mission, the rover must strategize its movements to achieve its goal.

As the rover navigates the rocky exoplanet, it carefully calculates its movements each day, ensuring that it maintains a balance between forward progress and turning directions. With each kilometer traveled and each turn made, the rover edges closer to its desired destination.

In a bonus scenario, a hundred rovers with similar instructions have been deployed to various rocky planets, each with missions of different lengths ranging from one to 100 days. The question arises – how many of these rovers can successfully complete their missions and return to their original landing sites?

This challenging puzzle not only tests the rover’s navigation skills but also showcases the importance of strategic planning and decision-making in unfamiliar environments. As the rovers embark on their missions, they must adapt to the changing terrain and make calculated choices to ensure a safe return.

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For those seeking the answers to this intriguing puzzle, a visit to the Science News website provides the solution. The exploration of distant planets and the quest for knowledge continue to inspire curiosity and creativity in the world of science and technology.

In conclusion, the rover’s journey on the rocky exoplanet serves as a reminder of the endless possibilities and challenges that await in the vast expanse of the universe. With determination, ingenuity, and a touch of mathematical prowess, the rover navigates its way back home, completing its mission with success.

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