This three-part video series playfully explores the mathematics of spirals, the patterns found in plants, and the simple rules that optimize how plants grow.

Edit Hook

Part one (embedded below) introduces Fibonacci spirals and the prevalence of Fibonacci sequences in plants. Parts two and three reveal the simple rules that optimize how plants grow and from which these Fibonacci sequences (and other patterns) result. This series could be used in a dual lesson in science and math and also illustrates the value of looking for patterns in science and engineering.

Please enable cookies to view this embedded content!

This functionality/content marked as “Google Youtube” uses cookies that you chose to keep disabled. In order to view this content or use this functionality, please enable cookies: click here to open your cookie preferences.

The series is hosted on Vi Hart’s YouTube channel, but we recommend viewing it on the Khan Academy where it is easier to navigate between parts 1-3, and you can easily find other “Doodling in math” episodes.

Edit Summary