Let \(\mathcal A=(A,V_A,v)\) be the \(n\)-dimensional affine space with \(V_A\) as the associated vector space over the field \(\mathbb R\) of real numbers. Let \(X\subseteq\mathcal A\) be a subset. The convex hull of \(X\) can be constructed as the intersection of all convex sets \(Y\) that contain \(X\):
\[\operatorname{conv}(X):=\bigcap\{Y\subseteq \mathcal A\,:\,X\subseteq Y\,,\,Y\text{ convex}\}.\]