Math Shirt | Truncated Icosahedron

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This nerdy math shirt shows the classic Archimedean solid with its Euler characteristic equation, χ = vertices - edges + faces = 2. The surface of any convex polyhedron is a sphere, hence will have the Euler characteristic of a sphere, which is 2 for a 3-D polyhedron. For the truncated icosahedron, this equation is 60 - 90 + 32 = 2. The Euler characteristic is a deep topological property connected with the Lefschetz fixed point theorem. More mathematics about this shirt at our nerdy shirt blog!

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