Truncated Biscribed Pentakis Dodecahedron

This example demonstrates the 3D construction and visualization of a complex polyhedron: the Truncated Biscribed Pentakis Dodecahedron. It explores core concepts in solid geometry including polyhedral symmetry, inscribed and circumscribed spheres, and truncation transformations that generate new polyhedra from existing ones. The construction uses GeoGebra commands such as Join, Sphere, Length, and Zip to create segments, spheres, and point sets, while interactive elements like text fields and buttons allow dynamic parameter adjustment (e.g., sliders t and n control truncation and scaling). This resource is suitable for high school or university-level solid geometry courses, as well as for mathematical modeling or computational geometry design, helping students intuitively grasp the structure and parametric construction of intricate polyhedra.