Mr. Bosma's Website‎ > ‎Geometry‎ > ‎

1st Semester Fractal Project

Project Description and Rubric:
See Google Classroom

Interactive Fractals:

Readings:
Use the following websites to start answer your questions and inform yourself about fractals.
What is a fractal?
http://mathforum.org/alejandre/workshops/fractal/fractal3.html
http://www.math.umass.edu/~mconnors/fractal/intro.html
http://math.youngzones.org/Fractal%20webpages/index.html Make sure to look at all the pages!
http://science.howstuffworks.com/math-concepts/fractals.htm Make sure to look at all the pages!
What is self-similarity?
http://www.math.umass.edu/~mconnors/fractal/similar/similar.html
What is the dimension of a fractal?
https://m.youtube.com/watch?v=gB9n2gHsHN4&feature=youtu.be
http://www.math.umass.edu/~mconnors/fractal/math_inter/math_int.html
http://math.rice.edu/~lanius/fractals/dim.html
http://www.math.umass.edu/~mconnors/fractal/sierp/sierp.html
What is iteration?
http://math.rice.edu/~lanius/fractals/iter.html
Where are fractals found in nature?
http://webecoist.momtastic.com/2008/09/07/17-amazing-examples-of-fractals-in-nature/
What are fractals used for?
http://www-03.ibm.com/ibm/history/ibm100/us/en/icons/fractal/transform/
http://www-03.ibm.com/ibm/history/ibm100/us/en/icons/fractal/
Waclaw Sierpinski
http://www.gap-system.org/~history/Biographies/Sierpinski.html
http://www2.stetson.edu/~efriedma/periodictable/html/Si.html
Fractal Foundation Online Course: Answers several questions!
Fractal Foundation

Images/Other Occurrences:
This picture of the Sierpinski triangle is from the Church Santa Maria in Trastevere, Rome, Italy from the 12th or 13th century. 

Wild Cabbage: a natural fractal

Article about a Sierpinski pastry:
Sierpinski Pastry

Videos:
Watch each of the videos for more information on fractals:
http://www.ted.com/talks/lang/eng/benoit_mandelbrot_fractals_the_art_of_roughness.html

Mandelbrot



How Do Fractals Work?


Nova Video: (We will watch in class)

Nova: Hunting the Hidden Dimension