Fractals
     
    Draw a vertical segment
    Construct its midpoint
    Label the points A, B, C
     
     
     
     
     
     
     
    Highlight point C
    Click Transform/Mark Center
    Highlight Point B
    Click Transform/Rotate
    Rotate by Fixed Angle 120º
    Click Rotate
     
    With this new point highlighted,
    Click Transform/Rotate
    Rotate by Fixed Angle 120º
    Click Rotate
     
    Construct a segment from Point C to each of the newly rotated points. Label the points
    (B’ and B”).
     
    Highlight Points A and C, in that order
    Click Transform/Iterate
    Highlight C then B’
    Click Structure/Add Map
    Highlight C then B”
    Click Iterate
     
    Click the Plus and Minus symbols to
    add or delete the number iterations.
     
     
     
    Same fractal with a twist…
    Click File/New Sketch
    Draw a vertical segment
    Construct a point on segment
    Label the points A, B, C
    B
    A
    C
    B''
    B'
    B
    A
    C
    A
    C
    B
     
    Draw a small circle off to the right.
    Construct two segments from the center to the circle creating an angle
    Label the center D and the other two points E and F.
    Highlight points E, D and F, in that order.
    Click Transform/Mark Angle
     
     
    De­select everything (Click in a white area.)
    Highlight Point C
    Click Transform/Mark Center
    Highlight Point B
    Click Transform/Rotate/
    Marked Angle
    EDF
    Click Rotate
     
    With this new point highlighted,
    Click Transform/Rotate
    Marked Angle
    EDF
    Click Rotate
     
    Construct a segment from Point C to each of the newly rotated points. Label the points
    (B’ and B”).
     
    Highlight Points A and C, in that order
    Click Transform/Iterate
    Highlight C then B’
    Click Structure/Add Map
    Highlight C then B”
    Click Iterate
    Click the Plus sign about 8 times.
     
    Move point B and observe
    Move Point E around the circle and observe.
     
    Animate point E with an animation button.
     
     
     
     
    D
    F
    E

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