Science Natural Science Nature Blows My Mind! The Hypnotic Patterns of Sunflowers By Jaymi Heimbuch Writer California Polytechnic State University, San Luis Obispo Jaymi Heimbuch is a writer and photographer specializing in wildlife conservation. She is the author of The Ethiopian Wolf: Hope at the Edge of Extinction. our editorial process Twitter Twitter Jaymi Heimbuch Updated August 13, 2020 credit: Stockbyte Share Twitter Pinterest Email Science Space Natural Science Technology Agriculture Energy Math of Sunflowers Sunflowers are beautiful, and iconic for the way their giant yellow heads stand off against a bold blue sky. And of course most of us love to munch on the seeds they produce. However, have you ever stopped to look at the pattern of seeds held within the center of these special flowers? Sunflowers are more than just beautiful food -- they're also a mathematical marvel. The pattern of seeds within a sunflower follows the Fibonacci sequence, or 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144... If you remember back to math class, each number in the sequence is the sum of the previous two numbers. In sunflowers, the spirals you see in the center are generated from this sequence -- there are two series of curves winding in opposite directions, starting at the center and stretching out to the petals, with each seed sitting at a certain angle from the neighboring seeds to create the spiral. According to PopMath: In order to optimize the filling [of the seeds in the flower's center], it is necessary to choose the most irrational number there is, that is to say, the one the least well approximated by a fraction. This number is exactly the golden mean. The corresponding angle, the golden angle, is 137.5 degrees...This angle has to be chosen very precisely: variations of 1/10 of a degree destroy completely the optimization. When the angle is exactly the golden mean, and only this one, two families of spirals (one in each direction) are then visible: their numbers correspond to the numerator and denominator of one of the fractions which approximates the golden mean : 2/3, 3/5, 5/8, 8/13, 13/21, etc." Here is a little more about sunflowers, the Fibonacci sequence and the Golden Ratio that you can review with kids from Math Is Fun. Sunflower seeds and amazing math. When you stop to think about this, it reminds you that nature is truly mind-blowing!