Thinking about ways to make a nice polygon spiral. This one is created by rotating and dilating the point that determines the first rotated polygon. (Using matrix exponentiation to rotate around the origin.) I love the spiral and 3-D effect of the transformation. There is a later sketch, [url]http://www.geogebratube.org/material/show/id/155782[/url], that generalizes this one in a few ways. Including tools to make compound portals!
More GeoGebra at [url]http://bit.ly/mh-ggb[/url]