A simplicial complex is a mathematical structure that consists of a collection of simplices (points, line segments, triangles, and their higher-dimensional counterparts) that are joined together in a way that satisfies specific conditions. These conditions require that every face of a simplex must also be included in the complex, which allows for the creation of complex shapes and spaces used in various fields such as algebraic topology and data analysis. This concept provides a foundation for understanding the topological properties of spaces and plays a significant role in analyzing the shape and structure of data.
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