Set items in list and scale before hitting flag. Each number in the list equals the sum of the previous two numbers. The ratio of the two better approximates the golden ratio (1.6083....) as the list grows. If it turns too slowly for your patience, turbo (shift-flag)
Remade my 3 yr old project--now the squares move. Each section of the curve has a width that is a Fibonacci number, starting with 1. This is the Fibonacci spiral, which approximates the golden ratio spiral. Start with 1. Add each number to the previous number to generate the list. With each new Fibonacci number, we draw a curve that is larger than the previous by the ratio of successive Fibonacci numbers. That ratio approximates the golden ratio 1.6083.... (the inverse of the ratio is 0.6103...) as the numbers grow larger. We translate the Fibonacci numbers into the golden spiral. After each new Fibonacci number we change the pen color to highlight the section of the golden spiral associated with each Fibonacci number. The backgrounds show successive golden ratio rectangles made of squares with sides equal to the Fibonacci numbers. We created this to illustrate what Fibonacci numbers are, as part of our lessons on floral spirals. Note: some start the Fibonacci sequence with zero, but that adds little to the concept so, as many do, I eliminated the zero.
