Description

The student explores Euler's formula V-E+F for various shapes. Provide prompts: (1) 'Tetrahedron: V=4, E=6, F=4. χ=?' (2). (2) 'Cube: V=8, E=12, F=6. χ=?' (2). (3) 'Why always 2 for convex polyhedra?' (homeomorphic to sphere). (4) 'Torus: triangulate it. Count V,E,F. Get χ=0.' (5) 'Design a surface

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