Vivienne Bradley
Textile Artist & Designer
DSC00973.jpg

Fibonacci Sequence

In mathematics, the Fibonacci numbers are the numbers in the following sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 …

This sequence of numbers is found in various flowers such as Gerbera and Sunflowers. 

The florets within the sunflower cluster are arranged in a spiral pattern. Typically each floret is oriented toward the next by approximately the golden angle, 137.5, producing a pattern of interconnecting spirals where the number of left spirals and the number of right spirals are successive Fibonacci numbers. Typically, there are 34 spirals in one direction and 55 in the other; on a very large sunflower there could be 89 in one direction and 144 in the other. This pattern produces the most efficient packing of seeds within the flower head.

Using this information Vivienne created a three-dimensional laser cut sunflower art piece which has three layers. The back layer is the Fibonacci number sequence up to 144, the middle layer is the interconnecting spirals and finally the front layer is the flower itself.

Final art piece includes three layers: laser cut flower, spirals and finally the Fibonacci sequence behind

Final art piece includes three layers: laser cut flower, spirals and finally the Fibonacci sequence behind

Continuous line drawing

Continuous line drawing

Mono-print and continuous line drawing

Mono-print and continuous line drawing

Close up of layers

Close up of layers

Spiral drawing

Spiral drawing

Flower / Gerba

Flower / Gerba

Flower / Sunflower

Flower / Sunflower

14.jpg
15.jpg