Federico Ardila, born in Colombia and now a professor mathematics at San Francisco State University, is an expert in the field of combinatorics, the study of all the possible configurations of finite systems. This week, Ardila talks with host Steven Strogatz about the importance of feelings in mathematics, the music of collaboration, imagining higher dimensional spaces, and the art and science of exploring "the space of possibilities." This episode was produced by Dana Bialek. Read more at https://www.quantamagazine.org/federico-ardila-on-math-music-and-the-space-of-possibilities-20210329/. Production and original music by Story Mechanics.