👉 In mathematics, a simplex is a type of polytope in Euclidean space defined by an inequality. A simplex with vertices at $v_1, v_2, \ldots, v_n$ and side lengths $\lambda_1, \lambda_2, \ldots, \lambda_k$, where each $\lambda_i > 0$ for all $i = 1, 2, \ldots, k$, is said to be simple. The term "