Several months ago I completed a Scratch project on the golden rectangle of mathematical, architectural, and artistic fame. Below is a screenshot at the completion of a run of the scripts.
The first script draws a series of squares, starting with the largest square on the left. It continues drawing successively smaller squares in a clockwise spiral. Each square cuts the larger golden rectangle into a a smaller square and a smaller golden rectangle.
I have now written a pdf file that describes a bit of the history of the golden rectangle, its relationship to the Fibonacci numbers, and the cool script that draws the spiral. When given the radius and arc length, the script draws the arc with that radius. Scratch (unlike Logo) doesn’t have any circle tools so if Scratch 2.0 really lets us create our own “blocks” then I will make this script into a block and write other circle tools.
You can view and download this project by clicking on this link.
The free pdf file can be had by sending an email request for The Golden Rectangle in Scratch file to firstname.lastname@example.org.