Discrete Geometry
A simplex is a fundamental geometric object in the context of polytopes, defined as the convex hull of its vertices. In a general sense, a simplex can exist in any number of dimensions, with the simplest being a triangle in two dimensions or a tetrahedron in three dimensions. The simplex serves as the basic building block for more complex shapes and plays a key role in linear programming, where it is often used to represent feasible regions and optimize linear objectives.
congrats on reading the definition of simplex. now let's actually learn it.