How to model a perforated vase?

I've always wondered how to model this kind of vase. Is it possible in Autodesk Inventor? or should I use other software that maybe more capable?
Images:
1. http://preview.turbosquid.com/Preview/2014/07/12__07_39_09/09_01.jpg7309a95a-1022-4ed0-9739-15ff4a12daa1Original.jpg
2. http://img3.yeggi.com/images_q/203776/morphasis-polygon-vase-%E3-
3. http://images2.sw-cdn.net/model/picture/625x465_197770_5254295_1429670960.jpg