Geometric Sketchpad graphic method for drawing regular hexagons using circles

1. Create new parameters. Select [Data] - [New Parameter] to create a new parameter n=6, with no unit. Select parameter n in the drawing area, select [Data] - [Calculate], and calculate n-1 in the function editor.

2. Calculate the angle. Select parameter n, select [Data] - [Calculation], enter [3], [6], [0] in the function editor, select [Degree] at the [Unit] button, and then click [÷], 【n】.

3. Draw a circle and points on the circle. Draw a circle O and pick a random point on the circle, label it A.

4. Construct line segments. Double-click the center of the circle to mark it as the center, then select point A, click [Transform] - [Rotate] - enter the calculated angle value - [OK], get point B, and connect AB.

5. Iterate over images. Select point A and the calculated [n-1] (pay attention to the order, select [n-1] last), click [Transform], and hold down [shift]. At this time, [Iteration] will become [Depth Iteration] , click [Depth Iteration], click point B at the initial image in the iteration dialog box, and click [Iteration].

6. Hide the circle. Select the circle and press [Ctrl H] to hide the circle, and the regular hexagon is drawn, as shown in the figure. Drag point A or point B to change the size and position of the graphic.

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