“Explore, on a Mobius strip” offers an introduction to the mathematical subfield of topology by way of numerous hand-drawn sketches and an accessible discussion of going for a “walk” on a one-sided, one-edged Mobius strip—also known as a Mobius band. The chapter provides directions for making a Mobius strip out of paper and examining its mathematical properties. Mathematics students and enthusiasts are encouraged to explore more in both mathematics and life in order to expand their worldview. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.