Liked this design in a gif I found for Carnival of Mathematics 108, [url]http://mathhombre.blogspot.com/2014/03/carnival-of-mathematics-108.html[/url], so I had to play around with the underlying ideas. My first try was dilations, [url]http://www.geogebratube.org/material/show/id/94415[/url], which warps the kites much more quickly. (But is still pretty.) This keeps a linear pattern to the points that determine the kites. The spiral effect seems strongest around t=1.5, but I haven't thought much yet about why.