Methods and steps of iterative design of regular dodecagon on geometric drawing board
1. Open the geometry drawing board of the courseware making tool and draw any two points A and B in the blank workspace with the point tool.
2. Double-click point A, select point B, select "Rotation" under the "Transformation" menu, and set the fixed angle to 30 in the pop-up rotation dialog box.
Figure 1: Set the rotation angle.
3. In this way, the point B is obtained and the line segment BB is constructed. The specific operation is to select points B and B and execute the command to build line segments; Or connect directly with the line segment tool.
Figure 2: Building Line BB'
4. Select point B (original image), and select the "Iteration" command under the "Transform" menu to open the dialog box, as shown in the following figure.
Figure 3: Performing Iterations
5. Click point B (initial image) (after the iteration dialog box appears, select again), and pay attention to "Number of iteration rules: increased by 3 times". On the basis of the original drawing, three lines are added.
Figure 4: Adding a Line Segment
6. Press the "+"key on the keyboard repeatedly until the number of iteration rules becomes 1 1, as shown in the following figure.
Figure 5: Increasing the number of iterations
7. Finally, click the "Iteration" button, and the regular dodecagon will be constructed.
Figure 6: Construct an icosahedron.
Geometric sketchpad |