There are many possible answers:
The simpler ones among these are:
pyramid with a 15 sided polygon as base.
dipyramid with a 14 sides polygon as base.
prism with octagonal bases.
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Spherical
A 3D star is not a standard shape. You can easily add another point.
A cube is one
Pentagonal Prizm
The shape with the fewest corners, ie the sphere.