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## 'Dodecamagic' printed from http://nrich.maths.org/

Here you see the front and back views of a dodecahedron which is
a solid made up of pentagonal faces.

Using twenty of the numbers from $1$ to $25$, each vertex has
been numbered so that the numbers around each pentagonal face add
up to $65$.

The number F is the number of faces of the solid.

Can you find all the missing numbers?

You might like to make a dodecahedron and write the numbers at
the vertices.