Dodecahedron Tall Vase?

This is another thing that I came up with while waiting for my printer. It was originally a dodecahedron, but kinda got out of control. You tell me what it is exactly. Again, created in Rhino, and the files are included. If anyone gives it a go, let me know how it turns out. I'm not exactly sure if those overhangs are reasonable or not without support.

I also couldn't resist playing around with the rendering, so I included a nice picture.