Too much geometry

I’ve tried without success to model this star shape. I can assemble pentagons for a dodecahedron, but I get lost in the stars. The pointy parts, that is. As you can see, I think I went overboard on my latest try. Any advice will be most appreciated.
Best,
dh
dodecahedron with points.skp

@TheOnlyAaron

Watch this:

… make sure that the triangles are components… after you have created the initial shape, edit the triangle components and add the points!

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Thanks, everyone. It seems I was starting with the wrong solid. I need an icosahedron, it seems.

Here’s the finished product, produced following Aaron’s tutorial. Thanks again for all the help
icosahedron with points.skp (46.1 KB)

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Dave,
Thanks. Aaron Dietzen provided the key: I need to start with an icosahedron.
Best,
dh