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Overview of Penrose Tiling
 
Overview of Penrose Tiling
 
Example:  
 
Example:  
[http://upload.wikimedia.org/wikipedia/commons/c/ce/Roger-Penrose-Kachelstruktur.jpg title]
+
[[Image:Penrose.jpg]]
 
Artist: Urs Schmid
 
Artist: Urs Schmid
 
Photo by: Urs Schmid
 
Photo by: Urs Schmid

Revision as of 13:23, 24 September 2013


Penrose Tiling

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

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

Who is Roger Penrose?

 1. Oxford professor
 2. PhD from Cambridge

Definition of a non-periodic

Symmetries: local and global

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

Rules for construction

  1. Matching rules
  2. Substitution tiling

Other tilings

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett