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Tim WatersFractal Artist

Fibonacci Fractal Flowers

Through my artwork, I draw together the relationship of nature and mathematics. Perhaps maths is nature's way of seeing itself through our eyes? By layering photography, line-drawn shapes, and computer-generated fractals, I hope to play with these ideas and spark new understanding.
I see fractals everywhere I look, and the photos are of flowers I spot with mathematical symmetries or similarity over scale. I treasure finding them, and these pictures are my collection of these things.

The line drawings are of the fibonacci sequence, a fractal structure in itself. I have made these into sacred geometry symbols. They represent the worship we have had through history for the mystery of maths and art.

The computer-generated fractals are a representation of how we are now using technology to create things that go beyond human understanding, perhaps something to be fearful of. AI is becoming a reality, and the dark, unnatural-looking effect they have reminds me that we are a part of nature, not in control of it.

The fractals were generated using software I developed, which you are welcome to use. It's a desktop web application, and you can access it here.

The photographs were taken on my phone on visits to the RHS Gardens in Manchester, UK, for inspiration as well as in my local area.

They have then been combined with sacred geometry symbols in Photoshop to create unique designs.

Fractal Flowers











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Sacred Geometry FAQ

Question: What is the Fibonacci pattern in flowers?

Answer: The number of petals in many flowers often corresponds to a Fibonacci number, which is part of a fractal pattern a sequence where each number is the sum of the two preceding ones (1, 1, 2, 3, 5, 8, 13, 21...).

Question: What are the Fibonacci patterns in flowers?

Answer: Many plants display petal counts that are Fibonacci numbers: buttercups have 5 petals, lilies and irises have 3 petals, corn marigolds have 13 petals, some asters have 21 petals, while daisies can have 34, 55, or even 89 petals.

Question: What is the sacred geometry of flowers?

Answer: On a deeper metaphysical level, the intricate structure of flowers is often linked to sacred geometry the patterns and shapes that underlie all of creation. The spiral shapes of many flowers are reflections of the Fibonacci sequence, a mathematical ratio that appears throughout nature.

Question: How is the Golden Ratio incorporated into sacred geometry and what does it represent?

Answer: In sacred geometry, the Golden Ratio is regarded as a fundamental building block that represents a divine proportion, symbolizing harmony, beauty, and balance within the universe.

Question: What is radial symmetry in flowers?

Answer: Many flowers exhibit radial symmetry, where their parts radiate outward from a central point. Many natural formations display spirals that often align with the Fibonacci sequence and the golden spiral.

Question: What is the pattern of a sunflower called?

Answer: The pattern found in sunflower seeds is known as 'phyllotaxis', which originates from the Greek words for 'leaf' and 'arrangement.' This pattern is also visible in other natural forms, such as pine cones and pineapples. Spiral phyllotaxis uses an angle of 137.5 degrees to position each new seed formed.

Question: What does the term sacred geometry in flowers mean?

Answer: The term "sacred geometry in flowers" refers to the study of how floral patterns and shapes reflect mathematical principles and natural design. Sacred geometry explores the geometric shapes and patterns that appear in nature, believed to be fundamental to the structure of the universe.