![]() ![]() Here are 14 astounding examples of phi in nature. Its a simple pattern, but it appears to be a kind of built-in numbering system to the cosmos. Each number is the sum of the two numbers that precede it. Modeling with Excel: Download this Excel file to create spirals like the Golden Spiral.Įxplore how modifying the variables affects the curves. The Fibonacci sequence starts like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 and so on forever. To draw the golden spiral, all you need is a compass and some graph paper or a ruler. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on and so forth. The Golden Spiral is a geometric way to represent the Fibonacci series and is represented in nature, if not always perfectly, in pine cones, nautilus and snail shells, pineapples, and more. Take a picture of the pattern that emerges. As shown in the video above, put alike colored push pins into each cell of the pineapple, following the whorls, with a different color for each line. While the presenter gets a bit carried away with some magical thinking, I like her enthusiasm.Īctivity: Get a pineapple and a box of colored push pins. Video: Watch the following video for a nice explanation. ![]() If we extend the series out indefinitely, the ratio approaches ~1.618:1, a constant we call phi, that is represented by the greek letter φ 3 petals One common natural example is the number of petals on flowers, though of course there are exceptions. Here's an interesting example called the Fibonacci series, named after an Italian mathematician of the Midde Ages, though the Greeks clearly knew all about it much earlier, as evidenced in the design of classical architecture such as the Parthenon. Math is at the heart of many of the patterns we see in nature. ![]()
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