How does mathematics play a role in the art of gymnastics?

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Mathematics is integral to gymnastics, influencing various aspects of performance. Concepts such as circular motion are crucial when gymnasts spin, while tension and torque are relevant during rope routines. The interplay of potential and kinetic energy is vital as gymnasts transition between positions in the air. Additionally, kinematics helps analyze the movements of gymnasts, despite the simplification of treating them as particles. Overall, mathematical principles underpin the technical execution and artistry of gymnastics.
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How do the rules of mathematics apply to the art of gymnastics?
 
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Circular motion when the gymnast is spinning, tension and torque when the gymnast is using ropes, potential and kinetic energy when the gymnast is holding a position in the air and then moves, turning about a pivot when the gymnast is balancing, kinematics for the movement of the gymnast (i guess it's a bit of an over simplification to treat her/him as a particle though)...just some ideas i know some of these concepts may be thought to relate more to physics than maths but lots of equations come into play.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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