# Triangular flux

A point charge $$q$$ is located at the center of a hollow icosahedron. If the flux through one face can be expressed as $$(\frac{a}{b})q/\epsilon_0$$ where $$a$$ and $$b$$ are coprime positive integers, what is $$a+b$$?

Clarification: $$\epsilon_0$$ is the permittivity of free space.

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