Detailed method of iteratively constructing regular dodecagon in Geometry Sketchpad

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1. Open the geometric sketchpad and use the point tool to draw two arbitrary points A and B in the blank working area.

2. Double-click point A, select point B, select [Rotate] under the [Transform] menu, and set the fixed angle to 30 in the pop-up rotation dialog box.

3. In this way, you have to point B and construct the line segment BB. The specific operation is to select points B and B’ and execute the construct-line segment command; or directly connect with the line segment tool.

4. Select point B (original image), select the [Iterate...] command under the [Transform] menu, and the dialog box as shown below will appear.

5. Click point B (initial image) (select again after the iteration dialog box appears), notice that [number of iteration rules: increase 3 times], the graph will be based on the original Above, 3 line segments are added.

6. Press the [ ] key on the small keyboard repeatedly until the number of iteration rules becomes 11, as shown in the figure.

7. Finally click the [Iterate] button, and the regular dodecagon is constructed.

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