I'm looking for a simple way to create an abstract polyhedron, using 3D processing. I'm wondering what the best way to go about it is. I'm fairly new to coding in general, especially in processing. But I've got a solid grasp of the basics.

I've checked the tutorial for creating a Icosahedron and played with the code but I'm unable to successfully alter the shape the way I want (It would become broken and violently distorted).

In my minds eye, I'm looking to create something like this 

http://www.ics.uci.edu/~eppstein/junkyard/untetra/schoen.jpg

or this

http://binary-services.sciencedirect.com/content/image/1-s2.0-S0010448509000396-gr9.sml

But mostly, I just want to understand how to alter them to my bidding. Does Anyone know how to help me?