One day I was walking along the Potomac River near my home and met a man who was studying one of the plants with great interest. I asked him what was so fascinating about the plant. He told me that the name of the plant is Horse Tail and that he was very curious about the sections of the stem and how they seem to follow some sort of pattern. I took one look at the stem and immediately knew what it was. Then I also realized that I had the same plant growing in the fish pond in my yard. I was anxious to get home and see if my theory was correct.
Several times in the past I have written about the Golden Ratio (also called the Golden Proportion, Golden Mean, Devine Proportion or Phi) . Its appearance in nature, design and the entire universe is uncanny. It is the division of a line segment where the ratio is 1 to 1.618. One is the shorter length and 1.618 the longer one. BUT it is also the ratio of .618 to 1 where .618 is the shorter segment and 1 the larger. This is what makes this ratio so magical.
Now I know that the mention of proportions, ratios or anything mathematical can make the eyes of most people roll back in their heads (unless you are a math geek). So, a few years ago, I designed a set of calipers for quilters that open up into these pleasing proportions of the Golden Ratio. I got them out when I returned home from my walk and took one of the Horse Hair stems from my pond and tried them out. Sure enough, when I place the calipers along one of the longer sections, the shorter piece next to it fits the proportions of the Golden Ratio and vice versa. One note, the sections at the base of the stem don’t quite fit into the ratio, but they fit more perfectly as I reached the tip of the tip of the stem. It is fascinating for me to see how this proportion shows up in so many aspects of our world.
Do an internet search on the Golden Ratio and you will be amazed at what comes up about this magical phenomenon.