Team Maths Challenge 2011 Poster Competition

Once a team has advanced from the qualifying stage and proceeds through to the national final, their first task is to create a poster on a given topic.
This year, we were required to create a poster on the Golden Ratio.
The Poster involved answering 4 supposedly difficult questions on the Golden Ratio and the team was required to provied additional information on the topic.

Q1: Why does ø (phi) satisfy the equation ø² = ø + 1?
Q2: What is Fibonacci Tiling?
Q3: Is there a simpler expression for ø^-1, that is, 1/ø?
Q4: Where do Golden Rectangles appear in the dodecahedron?

Below are screenshots of the poster we created.


By Muhammed