How a geometric artboard constructs a triangular inner-connecting midpoint triangle

The specific steps are as follows:

1. Open the Geometry artboard software, create a new geometry artboard file. Use the Polygon tool to draw any one of the triangle ABC.

To draw the triangle ABC with the Polygon tool

2. Select the three edges of the triangle, select the "construct"--"midpoint" command to construct the midpoint of the three edges D, E, F, connecting line segments de, EF, DF.

Select "Construct"--"midpoint" command to construct the midpoint of three edges D, E, F

3. Select Points A, B and C in turn, select "Transform"-"Iteration" command, in the pop-up Iteration dialog box, to the original image point A, B, c select Point D, E, F for the first image. When you click on each midpoint, the artboard will also display the mapping result of the original triangle iteration. Finally, click the "Iteration" button to get the Midpoint triangle iteration graph.

Select Transform--Iteration command construct triangle inner-midpoint triangle