Line 7: Line 7:
 
By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau
 
By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau
  
Overview of Penrose Tiling
+
Outline:
 +
 
 +
'''Overview of Penrose Tiling'''
 
Example:  
 
Example:  
 
[[Image:Penrose.jpg]]
 
[[Image:Penrose.jpg]]
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Date: drawn in 1995
 
Date: drawn in 1995
  
Who is Roger Penrose?
+
'''Who is Roger Penrose?'''
 
   1. Oxford professor
 
   1. Oxford professor
 
   2. PhD from Cambridge
 
   2. PhD from Cambridge
  
Definition of a non-periodic
+
'''Definition of non-periodic'''
  
Symmetries: local and global
+
'''Symmetries: local and global'''
 
   1. Rotational  
 
   1. Rotational  
 
   2. Reflectional  
 
   2. Reflectional  
 
   3. Relation to golden ratio
 
   3. Relation to golden ratio
  
Rules for construction
+
'''Rules for construction'''
 
   1. Matching rules
 
   1. Matching rules
 
   2. Substitution tiling
 
   2. Substitution tiling
  
Other tilings
+
'''Other tilings'''

Revision as of 13:25, 24 September 2013


Penrose Tiling

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

Outline:

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 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

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett