Beneath the aesthetically pleasing shapes of petals, seeds, and branches are two fascinating mathematical concepts that explain nature’s tendency to expand in spirals. The spirals that appear all around us are no accident of nature – while they’re beautiful to look at, their purpose is much more important than vanity alone. ![]() Evergreen cones, heads of broccoli and cauliflower, and tree branches all display noticeable iterations of this spiraling pattern, too. Snail shells, too, show growth rings that become gradually larger as they spiral away from the shell’s center. Sunflowers, for example, seem to spiral their seeds from their centers in some sort of mathematical pattern. Nature is filled with patterns – spirals, in particular, are especially noticeable in species of plants and animals. The Golden Ratio in art composition and design.The Fibonacci sequence describes the pattern in which flowers fit the most seeds possible into their centers. How many Fibonacci spirals can you spot today?įor more information, check the following: Once you know what to look for, you’ll find Fibonacci spirals all around you. The central campus design and its underlying infrastructure were featured in the latest issue of our TRENDS magazine. The Fibonacci form is embedded in education, so it’s only right to have it permanently embedded in an area that thousands of students, faculty, and staff walk through each day. Although it’s slightly less immediately identifiable as a Fibonacci spiral, a second, more open spiral ( spiral 2 above) lies at the convergence of six sidewalk segments near the center of the campus. The tight spiral near the center of the South Schofield Lawn encompasses the decorative brick area and can be extended through the stone benches of this outdoor amphitheater. One of the Fibonacci spirals at UW-Eau Claire is easy to spot ( spiral 1 in the image above). ![]() Many other plants show leaves, branches, and/or petals growing in spirals, an adaptation that keeps new leaves from blocking the sun from older leaves, or allows the most rain or dew to reach the plant’s roots. ![]() The pattern of the sunflower seeds allows the flower to fit the most seed heads in the least space. Consider the sunflower, which often is used as an example of Fibonacci spirals. (For a helpful video, click here.)Ī Fibonacci spiral in nature may certainly be beautiful, but it generally has a very utilitarian purpose. Why is this significant? The sequence appears throughout nature – from a tiny snail shell to the nodes of a pinecone to the storm clouds surrounding the eye of a hurricane to the spiraling stars of galaxies to the whorls of your own fingerprints. And then, if you connect the boxes with an ever-increasing spiral, you end up with a Fibonacci spiral. When you draw the sequence as ever-increasing boxes, you create a Fibonacci rectangle. So the next number in the sequence above would be 21+34=55. The next number is found by adding up the two numbers before it: 1+1=2, 1+2=3, 2+3=5, etc. (Fibonacci also introduced Arabic numerals to Europe.) The spiral design begins with the Fibonacci sequence, named for an Italian mathematician (Leonardo de Pisa, known as Fibonacci), who introduced the sequence to western European mathematics in 1202 the sequence had been described even earlier in Indian mathematics. The redesigned central campus at the University of Wisconsin-Eau Claire honors math, science, art – even music – with two Fibonacci spirals embedded in the South Schofield Lawn. It’s only appropriate that in a place devoted to higher education, even the site design should reflect the search for knowledge.
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