The Golden Ratio Resources

The Golden Ratio is found in a number of important geometric shapes, including the regular pentagon, the golden rectangle and the isocahedron. The golden ratio also appears in a number of shapes biology.

• Golden Triangle and answers to 6A #6.2

Golden ratio in the pentagon

• Finding the golden ratio and using it to construct a pentagon
• How to construct a regular pentagon or golden rectangle.

Golden Rectangle

• A golden rectangle is a rectangle that can be divided into a square and a rectangle similar to the original one. It can be proved that for any such rectangle, the ratio of length to width is the golden ratio. For a more precise definition and a proof, follow this golden rectangle link.
  
• Origami - how to fold a golden rectangle
• Nested squares and golden spirals: (link to page at UBC) The golden rectangle can be cut into a square and a smaller golden rectangle which in turn can be cut into a square and an even smaller golden rectangle ...

Other Golden Rectangle Topics (for later)

• Golden Ratio and Fibonacci numbers at this Fibonacci site (this link for table of contents)
• Golden ratio and polyhedra
• Zome Tools
• Golden ratio and architecture