Fractal Patterns Found in Nature
by Owen Borville
August 15, 2021
​Updated September 27, 2021
Science, Biology, Mathematics

Fractals are unique patterns found in nature that are repeated continuously and infinitely at various size scales, including a fine structure at small scales. These patterns continue to form while keeping the same pattern. These patterns can be used to explain the presence of intelligent design in nature provided by an Intelligent Designer, in addition to refuting the concept of macroevolution from primitive states to complex. Some believe that the entire universe is composed of fractal patterns and the universe is one large fractal. Common fractal patterns include:

Mathematical Patterns in Nature
The Golden Ratio and the Fibonacci Numbers Sequence spiral
Transcendental numbers pi and e
Prime numbers
Irrational numbers
Tessellation patterns
Hexagon pattern
Voronoi pattern
Mandelbrot set fractal
Sine wave pattern in nature
Pascal's Triangle and Fibonacci

Fractal Patterns in Nature
Meanders (of water channels): river and stream channel patterns, meander, branching, deltas
Cave patterns, stalactites, stalagmites
Ocean wave patterns
Shoreline coastal patterns
Sand dune patterns
​Cross-bedding patterns
Mountain range patterns
Fjord patterns
Explosion pattern
Packing patterns

Rock and Mineral Fractal Patterns
Fractures in rocks
​Mud crack patterns
Percolation of liquid through soil and rock
Soil pore space patterns
Turbulent flow surface
Grain patterns: dust, sand, silt, gravel
Fossil and Animal track patterns

Fractal patterns are more complex than simple geometric shapes like the circle, triangle, rectangle, and square, therefore, are more difficult to describe.

Plant Fractal Patterns
Trees and tree branch patterns
Tree ring patterns
​Plant leaf patterns
Fern plant patterns
Flower petal spiral growth patterns
Corn plant pattern
Aloe Vera spiral pattern
Sunflower spiral patterns
Pine cone spiral pattern
Feather fractal pattern
Honeycomb fractal pattern
Romanesco broccoli pattern
Queen Anne's lace wild carrot pattern
Angelica flower head pattern
Pineapple skin pattern
Dandelion spiral pattern
Kiwi slice pattern

Microscopic Fractal Patterns
DNA Fractal Pattern
Cell Fractal Patterns
Protein Fractal Pattern
Algae structure pattern
Virus structure pattern
Bacteria structure pattern
Molds (fungi) growth patterns
Protist Patterns
Archaea Patterns

Physics-Chemistry Fractal Patterns
Optic patterns of electromagnetic light
Sound wave patterns
Electromagnetic spectrum of radiation
Magnetic field and gravity line patterns
Unified gravity theory patterns (String Theory)
Electromagnetic patterns 
Brownian fractal motion
Water drop patterns
Bubble fractal patterns (air, foam, soap)
Electric current pattern produced through various materials: Lichtenberg Pattern
Seismic fractal patterns:Earthquakes and faults
Crater patterns and structure
Mineral crystal patterns
Snowflake pattern, Koch snowflake
Molecular structure fractal pattern
​Periodic Table patterns and trends
Polymer fractal patterns
Network fractal patterns

Astronomy Fractal Patterns
Star fractal patterns and element formation
Galaxy spiral fractal patterns
Planet rings fractal patterns
Planet and moon rotations and orbits
Magnetic field and gravity line patterns (see above)

Weather Fractal Patterns
Lightning fractal patterns
Thunderstorm fractal patterns
Cloud fractal patterns
Hurricane (typhoon-cyclone) spiral fractal patterns
Tornado fractal patterns

Animal Fractal Patterns
Dragonfly wing pattern
Chicken egg spiral pattern
Circulatory animal pattern
Heart rate frequency-pumping sound pattern
Respiratory system pattern
Gecko foot pattern
Sea shell spiral pattern and the Nautilus
Sea urchin body pattern
Sea star (starfish)
Coral reef patterns
​Christmas tree worm pattern
Snail shell spiral
Turtle shell patterns
Skin and stripe patterns in animals
Zebra Stripe Pattern
Tiger Stripe Pattern
Wild Cat Coat Patterns
​Giraffe Skin Pattern
Fur Patterns
Animal scale patterns
Peacock feather patterns
Bird feather patterns
Goat horn spirals and patterns
Deer antler patterns
Animal stripe patterns
Animal organ patterns

Fractals are one of several patterns found in nature along with
symmetries of living things:

Bilateral symmetry
Translational symmetry
Scaling symmetry
Time symmetry
Animal and plant patterns and symmetries
Radial symmetry of starfish and spiders
Spider web patterns
Insects-6 legs
Spiders-8 legs
Centipede
Millipede