## 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

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

### Resources Cited

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