The PascGalois Project: Computer Visualizations

Michael J. Bardzell and Kathleen M. Shannon

Table of Contents

Select a slide or start at the beginning.

• Blaise Pascal & Evariste Galois
  
• Blaise Pascal
  
• Evariste Galois
  
• Prime or Composite? That is the Question.
  
• Prime or Composite? Here are the answers.
  
• Aesthetics?
  
• Competing Themes
  
• Pascal’s Triangle
  
• Modular Arithmetic
  
• Hexagons Mod N
  
• What about other binary operations? A non-cyclic example.
  
• Or even a non-abelian (communative) one?
  
• Where patterns get harder to spot: D3
  
• But there are patterns; you just need to know how to look . . .
  
• D₃₃
  
• John Conway's Game of Life
  
• 1 Dimensional Automata
  
• 2 Dimensional Automata
  
• Pyramids
  
• Another 3-D image, not related to the project directly.

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