Rotating Kites

Topic:
Kite
Rotating Kites Built with equilateral triangle, then two perpendicular segments to complete the kite. Kite is composed of four 30-60-90 right triangles. Center of rotation/dilation = (1,0) -idea from http://geometrydaily.tumblr.com/page/6 What is dilation factor of successive kites? What is ratio of areas of successive kites?