#Fibonacci sequence in art and nature series#

Wildlife: Reproductive patterns of honeybees and rabbits. Lettuce leaves are arranged in a fibonacci spiral as well.įruit: Bananas and apples when cut in half, not lengthwise, show ridges that appear in the fibonacci sequence, that is, 3 or 5, respectively. Vegetables: The florets of cauliflower and romanesque broccoli form a fibonacci spiral. Trees: Elm, cherry, linden, lime, grasses, beech, hazel, blackberry, oak, apple, holly, plum, common groundsel, poplar, rose, pear, willow, almond, and several other trees grow leaves that follow the fibonacci spiral from the initial stages of their growth. Sunflower: Individual flowers within a sunflower are arranged in a clockwise and counterclockwise fibonacci spiral. Some examples of Fibonacci numbers and patterns in nature around us:ĥ petals: Buttercups, wild rose, columbine, larkspur, parnassiaĢ1 petals: Black-eyed Susan, asters, daisies, spoon mum Many flowers and trees have petals and leaves occurring in Fibonacci numbers, and as these numbers increase, they also create patterns called Fibonacci spirals. It all looks something like this: 0, 0+ 1=1, 1+1=2, 2+1=3, 3+2=5, 5+3=8, 8+5=13…Īt first glance, they may look like a random set of numbers that are a result of this simple little rule of calculation, but this rule is the beginning of several beautiful things in nature and is especially closely related to the flora and fauna around us. Then, three combines with the two before it and grows to five, and the calculation endlessly continues, following the same rule of addition, increasing to 8, 13, 21, and so on. Now, this one is added with the one preceding it to form two, and two is then combined with the one preceding it to form three. Then, one is added to zero, resulting again in one.

This results in an endless calculation that begins with nothing, which is zero. To achieve endless growth, increase, or to move forward, a number has to combine with its preceding number.

#Fibonacci sequence in art and nature series#

The pattern of the Fibonacci series follows a simple rule. Fibionacci Series – The Numbers of Growth In some cases, the patterns improve efficiency, while in others, they are critical to an organism’s survival and growth. These patterns have appeared in nature to improve several shapes and forms. However, in this article, we will be exploring the beautiful and precisely balanced results of these two forces coming together in the form of the Fibonacci series and the golden ratio. For instance, nature, like mathematics, can be extremely precise in its creations or become susceptible to errors when there is something less or more due to an imbalance or faulty calculations. The link between mathematics and nature is not surprising when you really think about it.

In the same way, several numbers, formulae, and theories need to come together in mathematics to arrive at an answer. Most patterns in nature occur in various mathematical sequences, and the evidence of this is unbelievably fascinating.Įverything you see and experience around you is the result of several natural factors coming together. Nature and mathematics are very similar and closely interlinked.