Wandering circles
What do you see?
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What do you think could make the shapes different from each other?
The radius of the circle can be changed while the circle is being drawn by changing the steps and amount of turning. These changes can create spirals or multiple circles.
| REPEAT 360 FORWARD 1 RIGHT 1 END | ![]() |
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Angles and polygons
What do you see?
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What do you think about the angles required to draw those shapes?
The total amount of turning is known as the sum of exterior angles for a basic polygon, which must be a multiple of 360.
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Line symmetry
What do you see?
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What do you think about the symmetry of those shapes?
A shape has line symmetry when a line can be drawn to split the shape into 2 identical smaller shapes.
- Is it possible to have no line of symmetry at all?
- Is it possible to have more than one lines of symmetry?
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Rainbow colored lines
What do you see?

What do you think about the length and colors of the lines?
The length of the first blue line is 100.
- What is the length of the red line?
- What is the length of the green line?
- What is the length of the yellow line?
- What is the length of the black line?
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Heighway's dragon fractal curves
What do you see?
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Do you see similarities between the shapes?
Fractal curves are self-similar, which is the reason we can observe that parts of the curve are similar to the whole curve.
These fractal curves were displayed at the start of each section of the Michael Crichton novel, Jurassic Park.
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