# Draw an arbitrary convex polyhedron [duplicate]

I want to draw a set of convex polyhedrons whose vertices are defined by spherical coordinates on the surface of a unit sphere.

How can I accomplish this in Mathematica?

It seems I cannot do it with PolyhedronData (even though the polyhedrons I want to draw are symmetric and quite simple). It even cannot draw a hexagonal dipyramid, {"Dipyramid", 5} works, {"Dipyramid", 6} does not.

I also tryed to use Polygon, but it leaves a number of faces not filled.

• @Szabolcs thank you, the advice from there works – Anixx Nov 26 '13 at 19:05
• @Szabolcs still it draws a diagonal on tetraginal faces, how to get rid of it? – Anixx Nov 26 '13 at 21:39