Iterative production operation method within the square of the geometric sketchpad

1. Draw any line segment, select the two endpoints of the line segment and the line segment, [Construct]-[Perpendicular Line] to get two perpendicular lines.

2. Select the two endpoints of the line segment, [Construction] - [Construct a circle with the center and points on the circumference] to get two circles. Use the selection tool to click at the intersection of the two vertical lines and the two circles to get the other two points of the square.

3. Select four points counterclockwise, [Construction] - [Line Segment] to get a square. Pick a point on the initial side of the square.

4. Select point A (original image), click the menu [Transform] - [Iteration], a dialog box will appear, click point G (initial image) (an iteration dialog box will appear box, then select), the number of iterations is 4, and click the [Iteration] button.

5. Hide unnecessary objects and beautify graphics.

Note: When point B is taken on different sides, the graph after iteration will be different. Because iteration is a repeated mapping process from the original image to the initial image.

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