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Geogebra Construction

Geogebra Construction

Step One: create 4 circles with the radius of 5. Step Two: create at least 6 semi circles in each of the four circles. Step Three: Animate all of the semi circles so that they spin around their respective circles, then press pause so they stop moving. Step Four: On only one circle, select two semi circles, right click on them, select trace, then select select Object Properties. Go to Advanced, then enter the following: Red - x(H), Green - y(H), Blue - 5x(H). Step Five: For the other circles, select one semi circle, put trace on it, then go to Object Properties: Advanced. Enter the following: Red - y(H), Green - x(H), Bue - 4x(H). Step Six: For the circle with 2 semi circles that have trace, use the polygon tool to create as many triangles as you desire by connecting two points of the semi circles together. Step Seven: Connect the other three circles together using the semi circle tool. Step Eight: Align the three circles so that if you drew three lines between them, it would create an equilateral triangle. Step Nine: Drag the fourth circle into the center of these three circles, then press play and watch the magic happen!