I don't understand what the shape of the small stellated dodecahedron is
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Its definition says it has twelve pentagrams as faces, but I think pentagram is not a face
Because a face is a part set of the plane, that is inner side of a closed line
What is the inner side of pentagram ?
I think the small stellated dodecahedron should have twelve decagon like ☆
So, it has 32 vertices and 60 edges and 12 faces, hence Euler number = 32 - 60 + 12 = -16 It means it has 9 holes
Naturally , both polyhedron's Euler number are different
The Euler number of small stellated dodecahedron with twelve pentagram = 12 - 30 + 12 = -6 It means it has 4 holes
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