They actually do have a relationship to Phi, but not the one in the in picture you link, which is obviously bad.<p>If you draw a pattern of dots according by rotating points 137.5 degrees (which you see on a lot of seed heads and fruits, such as sunflowers, pineapples, pine cones, romanesco broccoli, various succulents, etc.), you create a pattern were certain spirals &#x27;jump out&#x27; at you. If you count the number of &#x27;arms&#x27; in each successive set of spirals, the numbers are the Fibonacci sequence. <a href="http:&#x2F;&#x2F;momath.org&#x2F;home&#x2F;fibonacci-numbers-of-sunflower-seed-spirals&#x2F;" rel="nofollow">http:&#x2F;&#x2F;momath.org&#x2F;home&#x2F;fibonacci-numbers-of-sunflower-seed-s...</a><p>Somewhere along the line I read on some website that it might have to do with optimal packing theory -- distributing the maximum number of seeds over the seedhead, but I think it was just a guess. It does seem to show up in a variety of plants, more than just chance would lead you to expect.