# Convex set > A subset of Euclidean space such that a line drawn between any two points in the subset remains completely within the subset.[^1] A subset of such that a line drawn between any two points in the subset remains completely within the subset.[^1] - **Rectangles** and **ovals** are convex set - **Stars** and **donuts** are not convex set ## Footnotes [^1]: https://developers.google.com/machine-learning/glossary#convex_set