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Self-Similarity

One part of an object can be enlarged or shrunk to look like the whole object.

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Self Similarity
teacher Contributed

RWA Self-Similarity

Topic

Using fractals to describe things that seem random.

Vocabulary

  • fractals
  • self-similarity

Student Exploration

Can we find order in patterns that seem random and complicated?

Watch the video below to learn more!

“The geometry of Fractals brings us a new appreciation for the natural world and the patterns we observe in it. Many things previously called chaos are now known to follow subtle fractal laws of behavior.” Read more at ...

http://www.miqel.com/fractals_math_patterns/visual-math-natural-fractals.html

“Picture the coastline of any beach from high up. It looks wiggly. However, as you continue to get closer and closer, the wiggles do not smooth out, but rather the closer you get to the coastline it remains wiggly. Self-similarity is the property where a small portion of the object is similar in shape and structure to the shape and structure of the whole object. This is only a part a part of the relation of fractals to nature.” Read more at ...

http://tiger.towson.edu/~gstiff1/fractalpage.htm

Extension Investigation

  1. Students can draw their own fractal by hand.
  2. Students can draw fractals using a computer
  3. Students report on examples fractals in their daily lives.

Resources Cited

http://www.miqel.com/fractals_math_patterns/visual-math-natural-fractals.html

http://www.youtube.com/watch?v=SDrvzUitPoE&feature=related

http://tiger.towson.edu/~gstiff1/fractalpage.htm

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