CK-12 Geometry-Concepts

http://www.ck12.org Chapter 7. Similarity

Example B (Fractals)

Like the Sierpinski triangle, a fractal is another self-similar object that is repeated at smaller scales. Below are the
first three stages of the Koch snowflake.

Example C (The Cantor Set)

The Cantor set is another example of a fractal. It consists of dividing a segment into thirds and then erasing the
middle third.

Watch this video for help with the Examples above.

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/52553

CK-12 Foundation: Chapter7SelfSimilarityB

Vocabulary

When one part of an object can be enlarged (or shrunk) to look like the whole object it isself-similar.

Guided Practice

1. Determine the number of edges and the perimeter of each snowflake shown in Example B. Assume that the length
   of one side of the original (stage 0) equilateral triangle is 1.