Similar Triangles and Similar Figures

Section 10-4

Activity Name	Activity Description
Hilbert Curve Generator	Students view a series of fractal Hilbert Curve patterns, created by a repeated process of replacing individual line segments with proportionally scaled and thus similar copies of the original modified shape.
Another Hilbert Curve Generator	Students view a series of fractal patterns of a curve similar to the Hilbert Curve, created by a repeated process of replacing individual line segments with proportionally scaled and thus similar copies of the original modified shape. The patterns can be compared to those of the Sierpinski Carpet.
Koch's Snowflake	Students view a series of fractal patterns known as the Koch Snowflake, created by a repeated process of replacing individual line segments with proportionally scaled and thus similar copies of the original modified segment.
Sierpinski's Triangle	Students view a series of fractal patterns known as the Sierpinski's Triangle, created by repeatedly subdividing the area of a triangle into proportional similar triangles.
Sierpinski's Carpet	Students view a series of fractal patterns known as the Sierpinski's Carpet, created by repeatedly subdividing the area of a square into proportional similar square sections. Results can be compared to 'Another Hilbert Curve'.
Fractal Dimensions	Students identify the scale (similarity) factor and 'number of copies' parameters from a geometric fractal pattern. The applet provides fractal images for successive iterations of each rule and calculates fractal dimension.
Fractured Pictures	Students input polygon and scale factors to generate geometric fractal patterns. The pattern is created with proportionally scaled and thus similar copies of the polygon.
Flake Maker	Students generate line fractal patterns by manipulating point geometry and specifying line deformation rules. Individual line segments are created as proportionally scaled and thus similar copies of the general segment geometry