In this example, a triangle (named 'poly1') is rotated and dilated with a specified angle t and factor r, about the center A. The two transformations can be combined as one in the command.[br][br][color=#ff0000]Dilate[Rotate[poly1, t, A], r, A][/color]

We can continue with this action on each object formed, resulting in a series of triangles, which can be named as poly2, poly3, poly4, etc by repeating the command in the following way:[br][br][color=#ff0000]poly2=Dilate[Rotate[poly1, t, A], r, A][br]poly3=Dilate[Rotate[poly2, t, A], r, A][br]poly4=Dilate[Rotate[poly3, t, A], r, A][br]poly5=Dilate[Rotate[poly4, t, A], r, A][br]…...[/color]

Here is another way for creating each of these triangles by varying the angle and factor each time, but applying the transformation to the first figure only.[br][br][color=#ff0000]Dilate[Rotate[poly1, n*t, A], r^n, A][/color][br][br]We use the letter n to indicate suitable angle and factor if the action is repeated on the first triangle. Drag the slider for n to see the effect.