Koch Snowflake

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1. Construct an equilateral triangle.
2. Hide the polygon.
3. Use the Dilate Object From Point By Factor tool to dilate point B from point A by a factor of 2/3.
4. Use the Dilate Object From Point By Factor tool to dilate point A from point B by a factor of 2/3.
5. Use the Segment tool to draw the three segments trisecting sebment AB.
6. Color the middle segment white and increase the thickness of the segment (to make it appear to disappear).
7. Use the Rotate Object Around Point By Angle tool to rotate point B' around point A' by 60 degrees clockwise.
8. Use the Segment tool to construct segments AB" and B'B".
9. Select all points and reduce the size to 1 and uncheck Show Label.
10. Select Create New Tool from the file menu.
11. Select the four segments (including the white one), and the three interior points A', B', B" as output objects.
12. Select points A and B as input objects.
13. Name the tool and click Finish.
14. Use the newly created tool to construct the Koch Snowflake.

Michelle Krummel, Created with GeoGebra