Pascal's simplex

Pascal's simplex, often referred to in the context of combinatorial mathematics, is an extension of Pascal's triangle into higher dimensions. While Pascal's triangle organizes binomial coefficients, Pascal's simplex generalizes this concept to represent coefficients in higher-dimensional spaces, specifically relating to combinations of multiple variables. 1. **Definition**: Pascal's simplex can be visualized as a triangular pyramid (in 3D) or a higher-dimensional polytope.