# Can vectors be used to create shapes?

Can vectors be used to create 3D shapes, such as a square or triangle. And are there any equations which create 3d shapes, specifially that of a cube.

the equation: $$\max \{|x_1|,|x_2|, |x_3|\}=a$$ for $\vec x=(x_1,x_2,x_3)^T \in \mathbb{R}^3$ represents a cube. Do you see it?