Make an origami polyhedron. The rhombic triacontahedron is easy to make because it is both face uniform and edge uniform. I came up with this folding scheme by modifying some instructions for a rhombic dodecahedron (http://www.ii.uib.no/~arntzen/kalender/), (http://www.paperfolder.info/diagrams/a4unit.htm).

Pick a piece of paper with aspect ratio as close to the golden ratio as possible. You can do this by picking two consecutive numbers in the fibonacci sequence. (Shown here is a 8.5"x5.5" sheet, the aspect ratio of 17:11 isn't very close to the golden ratio.) You will need 30 sheets. Experiment with different colors and patterns.

Equation wise, this would be X = 1 + 1/X, where X can be found to be 1+sqrt(5) all divided by 2 or 1.6180339... The Golden Ratio is also key to the Pentagon and Pentagram but that's another story.

All of this is meant only for added information but not meant to improve on the fine work of the author here...

Your first shape doesn't have a specific name it's a kind of penrose tiling

http://www.josephwu.com/Files/PDF/silver-gold.pdf