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Focusing on the significance of Simplicial Complexes, the book explores their role beyond merely counting faces, revealing deeper properties of shapes. It addresses the limitations of basic face counting, especially in higher dimensions, and emphasizes the utility of these structures as building blocks for complex shapes in fields like 3D modeling and network analysis. The text discusses topological analysis, applications in diverse disciplines, and the importance of visualizations and historical context, showcasing real-world examples that demonstrate their practical uses.
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Can We Count All the Faces? Exploring Simplicial Complexes, Johann Wolfgang von Goethe
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- 2024
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