Click on the Green Flag and observe how the golden triangles spiral inward and then how the equiangular spiral is drawn. See Inside for the arc as a function of radius script.
Everyone knows that Pi is the ratio of the circumference to the diameter of a circle. The ratio holds true for any circle. There is a another irrational number, called Phi, that is the ratio of side lengths found in certain rectangles and triangles. Phi, the Golden Ratio, equals 1.6180339887… A Golden Rectangle is a rectange with a length to width ratio of 1.61803… and a Golden Triangle is an isosceles triangle with base angles of 72º. In the Golden Triangle, the ratio of the base to one of the sides the Golden Ratio. This project was inspired by my Golden Rectangle project. Copy and paste this link to see my Golden Rectangle project. http://scratch.mit.edu/projects/popswilson/2864811 or search Scratch on popswilson Important Note: To draw the spiral as a single smooth curve, I had to create a script that draws an arc with radius r and arc length a. You may find this script useful in your projects.
