5Question: A virtual reality game designer is creating a puzzle where players must align two rotating gears with 24 and 36 teeth respectively. What is the smallest number of full rotations each gear must make before both gears align in their starting position?

Tue, 05 May 2026 08:48:03 +0000

Title: Solving the Gear Alignment Puzzle: When Do 24- and 36-Tooth Gears First Align? --- Creating immersive and thoughtful virtual reality experiences often involves weaving real-world physics and mathematics into engaging gameplay. One fascinating challenge is designing puzzles centered around rotational mechanics — like aligning gears with different numbers of teeth. A compelling example features two gears: one with 24 teeth and the other with 36 teeth. But the core question players must solve is simple yet profound: What is the smallest number of full rotations each gear must make before both gears return to their starting positions simultaneously? ### Understanding Gear Rotation