roses, 8- delphiniums, 13- ragworts and the list goes on forever. Please note though, that some flowers have an exact number of petals e.g. buttercups, others have an average that is a Fibonacci numbers. Fibonacci numbers are also associated with animals as well as plants. The most fascinating example of the sequence in the animal kingdom is the remarkable spiral that characterizes some animal growth. If you draw a square 1 unit long, then continue to add squares around that one you will get this following diagram. Then quarter circle arcs can be drawn connecting opposite corners of the squares on such a way that the arcs connect sequentially. What develops is a close approximation of the spiral shell of here of the chambered nautilus. Spirals such as this also occur in the horns of wild sheep, parrot beaks, and elephant tusks. Fibonacci numbers in Art and Architecture:Fibonacci numbers and ratios have has a curios influence on art and architecture for many centuries. There seems to be a visually pleasing quality to these numbers and their relationship to each other that has appealed to humanity’s sense of beauty since recorded history. Today 3x5 and 5x8 index cards and booklets are extremely popular. This obviously shows the appeal of Fibonacci numbers that characterize such things as playing cards, writing pads, windows, mirrors, calculators, and credit cards, to mention only a few items from the endless list of Fibonaccian shapes. In fact these shapes are close approximations of a rectangle best known as the golden rectangle. It strikes people as quite perfect, being neither too fat and stubby nor to long and skinny. It lies somewhere between a square and a double square, but not exactly in the middle. About 100 years ago, Gustav Fechrer conducted studies of the crosses in graveyards and discovered an interesting relationship between the crosses and the golden rectangle. The main stem of the crosses tended to be cut by the cr...
