How do cats land on their feet? In this playful and eye-opening history, physicist (and cat parent) Gregory Gbur explores how attempts to understand the cat-righting reflex have provided crucial insights into puzzles in mathematics, geophysics, neuroscience, and human space exploration. The result is an engaging tumble through physics, physiology, photography, and robotics to uncover, through scientific debate, the secret of the acrobatic performance known as cat-turning, the cat flip, and the cat twist.