Turing machine simulations

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Turing machine simulations
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• Why study so many examples?
• Get an intuition for what goes on inside
  computers without learning all the details of a
  programming language
• Complex tasks performed by sequence of very
  simple instructions
• Emergent complexity
• Very simple rules lead to very complex behavior
• Scientists try to understand how our universe can
  be so complex when physics is simple

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• Multiplication and sample output
• Addition and doubling programs
• Recognizing a language
• A sorting Turing machine
• Addition and subtraction
• Addition, divisibility, and primality
• Turing Kara
• Wolframs Version of Turing machines
• Explain notation
• Explain 3-state 2-color TM

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• Minskys small universal Turing machine
• Explain transition function notation
• Two-dimensional TM from Wolfram
• Binary counting Turmite (90 degrees left)
• Initially arrow faces up
• Little square, original color.
• Big square, new color.
• Other patterns produced by various turmites
• A random pattern produced by a Turmite
• Binary counter, started with two black squares

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• Langtons Ant
• Believed to start a highway from any intial
  pattern
• Turmite simulations
• Click on Launch Turmites
• Click on Load
• Choose turmite
• Click on Load
• Click on Fast then Zoom out
• Can edit rules too

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• John Conways Game of Life
• Show rules
• Do a few random patterns, see what happens
• Turing Machines in Conways Game of Life
• Patterns, Programs, and Links for Conway's Game
  of Life
• Click on a picture to run the game of life
• Do a few selected topics