I was messing about with similar quadrilaterals after reading one of my students, Dakota's, blogpost on fractals, and it turned into a pretty cool deformation of the plane.
Should lead to some cool tessellations, eh?
The tool quadsame takes 6 points and constructs a quadrilateral similar to the frst four (ccw order) on the left hand side of the last two.
The tool twostage constructs 2 similar quadrilaterals on three sides of four given vertices.