Minkowski sausage

The Minkowski sausage is a geometric construct used in the field of topology and geometric measure theory, particularly in the study of the properties of sets in Euclidean space. Specifically, it refers to a way of "thickening" a curve in Euclidean space to create a three-dimensional shape. Given a continuous curve \( C \) in three-dimensional space, the Minkowski sausage is formed by taking a tubular neighborhood around the curve.