Mihika Bansal
I have been dancing for the past eight years, and if someone were to ask me last week to describe dance in two words, I would have said grace and effortlessness. Recently, I learned that dance has just been a math lesson all along, especially involving my favorite technique of turns and jumps. A triple pirouette is 1080 degrees of rotation in the span of a few seconds. A leap across the stage follows a parabola shaped entirely by gravity.
As a dancer, I have spent years practicing and perfecting my turns without thinking about the science behind them. When my arms are extended in the turn, I rotate slowly. When I pull them close to my body, I spin faster. This happens because bringing my mass closer to my center increases my rotational speed. However, if I lean slightly forward or backward, my center of gravity shifts, which often causes me to lose balance. It had never occurred to me that every time I fell out of my turn, it was simply a small change in angles and alignment.
Jumps also involve just as much mathematics. Every leap follows a parabola, the same curve that is formed when a ball is tossed in the air. Dancers also control the height of their jump through the force they apply when pushing off of the ground. Gravity constantly pulls downward, and at the top of the jump, the upward velocity reaches zero before the body begins to descend. This is known as the illusion of suspension, and it causes jumps to look graceful and airy.
It is most fascinating to me that dancers have never learned the math behind their sport. Through repetition and training, our bodies have learned to respond to the fundamental mathematical principles naturally.
Even though dance and math are often seen as opposites, they couldn’t be more correlated. Behind every soft landing and clean turn is geometry and physics working together to light up the dance floor.