polyhedron: Quick Facts

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Figure 3: (Left) A prism whose base is an equilateral triangle transformed by a screw operation and a caving in of the side faces into (right) an eight-faced polyhedron. The resulting polyhedron cannot be split into tetrahedra with their vertices at the vertices of the polyhedron.

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Topics

Platonic solid cube dodecahedron tetrahedron vertex trapezohedron icosahedron semiregular polyhedron tesseract Euler’s theorem on polyhedrons polygon Euler characteristic

Italian-born physicist Dr. Enrico Fermi draws a diagram at a blackboard with mathematical equations. circa 1950.

Define It: Math Terms