Create a golden rectangle in SketchUp

Essential Question:
How does the golden rectangle connect with the Platonic Solids?

Presentation

Rotating Continued, Golden Rectangle
Golden Rectangle: Fibonacci
Icosahedron Construction

Concepts

1. The Golden Rectangle
   • In Art
   • In Design
   • In Nature
   
2. Fibonacci sequence
3. Orthagonal
4. Perpendicular

Activities

1. Construct an Icosahedron
   worksheet
2. Fibonacci Sequence activity
3. What value does the adjacent Fibonacci numbers seem to be approaching?
   Divide each last tem by the prior term
4. 1. Start with a pentagon with a side length of 1
      
   2. What is the length of the blue line?
      
   3. Which platonic solid is the dual of the icosahedron?
   4. What is the name of each face of that object?