Day 167: The Chaos Game

Trianglegame

Post AP C Exam fun: Exploration of entropy, fractals, and chaos.
Typically we read Tom Stoppard’s play “Arcadia” first (while listening
to the radio version), but most kids saw the play last year in NYC
during its Broadway revival on an AP Physics B field trip.

So we divided right into the Chaos Game.

 

You can read the rules here: http://math.bu.edu/DYSYS/arcadia/sect2.html

 

Kids rolled dice and plotted points on transparencies for about 5
minutes. Then I stacked the transparencies together so we could see
what the pattern looks like. OMG it’s the Sierpinski Triangle! (every
year, this always blows my mind).

 

Extra Credit: Write a program in VPython to play the Chaos Game. What
modifications on the game can you make and what cool patterns do they
produce?

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About Frank Noschese

HS Physics Teacher constantly questioning my teaching.

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  1. Chaos Game » A Recursive Process - July 3, 2013

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