Penrose Tiling

By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau

Outline:

Overview of Penrose Tiling Example: Artist: Urs Schmid Photo by: Urs Schmid Date: drawn in 1995

Who is Roger Penrose?

 1. Oxford professor
 2. PhD from Cambridge

Definition of non-periodic

Types of Penrose Tilings

  1. Original Pentagonal
  2. Kite and Dart
  3. Rhombus

Symmetries: local and global

  1. Rotational 
  2. Reflectional 
  3. Relation to golden ratio

Rules for construction

  1. Matching rules
  2. Substitution tiling

Other tilings