Concept
Fibonacci Circles
The Fibonacci Circles collection shows arrangements of circles whose diameter corresponds to the Fibonacci numbers. The diameter of a single circle is therefore the sum of the diameters of the next two smaller circles. The colored areas grow as the square of the Fibonacci numbers.
Fibonacci Flower II
The image Fibonacci Flower II (similar to the Fibonacci Flower I) uses the circles to bring to bloom the petals of a mythical flower that vaguely resembles a water lily. The petals are constantly rotated around the innermost circle by the golden angle, touching the inner circle just slightly. In nature, a similar arrangement can be observed with many plants as it minimizes shading of their leaves and maximizes sunlight.
Arrangement
The smallest circle has a diameter of 1 and was colored red as the origin of the image. It symbolizes the core of the plant from which the petals grow.
The first petal (also of diameter 1) is arranged horizontally to the right. The following circles are each rotated counterclockwise by the golden angle 137.508º and placed under the preceding ellipses. Each petal touches the core at a point. The color of the petals was chosen to be slightly transparent to indicate the penetration of the light.
The last, cut-off petal indicates the infinity of the Fibonacci sequence and thus also that of the Fibonacci flower.