Simplicial complex

A simplicial complex is a mathematical structure used to study shapes and spaces. It consists of points (called vertices), lines connecting them (edges), and higher-dimensional triangles (faces) that connect these edges. Imagine constructing a pyramid: the base is a triangle (2D), the edges are lines (1D), and the points are vertices (0D). By combining these shapes in various ways, simplicial complexes can represent complex geometries, making them useful in fields like topology, computer graphics, and data analysis to understand relationships and structures within data.