Mistrz Witold

From the blog


The Fibonacci Sequence In Your Garden

Mathematics determines our life down to the smallest detail. If you do not believe in this statement, you have to take a look at your garden. Time and nature inspires us with mathematically precise growing plants. The same path can always be found in structure; the growth process proceeds in the same way year after year. You can figure this out with mathematical formulas. These finally offer the chance to explore the world and the whole universe that might be hidden in a single flower.

For example, since the Renaissance, the golden ratio is a way to understand the harmony of the divine order. It describes the unequal subdivision of a route. The short distance is related to the long-distance as this is to the whole. The ratio is the number of pi. The human eye perceives this ratio as pleasant. So there is no surprise that people used it in many ways. The architects designed their buildings according to the golden ratio and the most famous example could be the Parthenon Temple of the Acropolis in Athens.

Nature Follows Mathematics

If you are looking for the golden ratio in your garden, you should take a look at a rose. Many plants follow the principle of the golden ratio, but none of them does it as perfectly as the queen of flowers, the rose. Another mathematical principle is the Fibonacci sequence. Society named it after Leonardo Pisano. He wrote this down as early as 1202 to describe the growth of a rabbit population. The formula starts with two numbers, the sum of which results in the following number. According to Fibonacci’s research, nature follows this law of growth. That always runs the same. But the further the sequence of numbers advances, the closer it comes to the golden ratio. The ball dahlias and the pompom dahlias adhere to it particularly precisely. The Spiral-Aloe curls according to the principle of the Fibonacci formula.

Nature Follows Mathematics
Nature Follows Mathematics

Petals show in the form of a spiral. In the case of sunflowers, for example, there are 55 right-hand and 34 left-hand waves. Thistles and daisies also follow this basic pattern. The ratio of left- to right-handed spirals always remains the same. Incidentally, this also applies to conifers. You can find that design in the branches and the cones. The angle between two consecutive flowers, leaves and fruit heads is always the same. It has 127.5 degrees.

This golden angle is related to the golden ratio because it is its geometric counterpart. These arrangements in nature have their purpose. Science assumes that this is the most efficient way of forming leaves that are as dense as possible and arranging them to cast shadows on one another. That guarantees the plants the optimal use of sunlight. But that’s not all; there is also a lot of geometry found in the garden. It’s just too much order to have just happened by chance. Behind every leaf and flower in the park is a mathematical secret that is worth discovering.