simplicial complexes

A simplicial complex is a mathematical structure used to study shapes and spaces. It consists of points (called vertices), line segments (edges), triangles, and higher-dimensional shapes, which are combined together in a specific way. Each shape can be seen as a building block, and they connect in a way that forms a complex structure. Simplicial complexes help researchers visualize and analyze data, understand topological properties, and explore relationships in various fields such as computer science, biology, and physics, providing insights into the interconnectedness and arrangement of complex systems.