The authors present a short dynamic visualization titled “Dancing with Atoms,” produced in honor of the late Irish mathematical physicist Sheila Tinney (1918–2010), the first Irish-born and -raised woman to receive a doctorate in the mathematical sciences. The visualization is inspired by Tinney’s groundbreaking work on crystal lattice vibrations and consists of an animation showing an atomic lattice structure vibrating based on data derived from a musical piece performed by her son, award-winning pianist Hugh Tinney. The acoustic signal processing and visualization were conducted using the new Science Foundation Ireland–funded “Tinney” high-performance computing cluster in Trinity College Dublin, Ireland.