| Line 15: | Line 15: | ||
Photo by: Urs Schmid | Photo by: Urs Schmid | ||
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 non-periodic''' | '''Definition of non-periodic''' | ||
| + | |||
| + | |||
| + | '''Types of Penrose Tilings''' | ||
| + | 1. Original Pentagonal | ||
| + | 2. Kite and Dart | ||
| + | 3. Rhombus | ||
| + | |||
'''Symmetries: local and global''' | '''Symmetries: local and global''' | ||
| Line 26: | Line 35: | ||
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 12:27, 24 September 2013
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
