Floral Patterns: Many flowers, especially sunflowers, daisies, and lilies, have seed arrangements that follow the Fibonacci sequence.
Pine cones: The spiral arrangement of bracts on a pine cone also adheres to the Fibonacci sequence.
Pineapples: The spiral patterns of the diamond-shaped scales are Fibonacci in nature.
Fruits and Vegetables: The way seeds spiral in fruits like the apple, or the way florets are arranged in vegetables like broccoli and cauliflower.
Shells: The nautilus shell is one of the most iconic examples of a natural Fibonacci spiral.
Galaxies: Some spiral galaxies, like the Milky Way, display a kind of Fibonacci spiral pattern.
Hurricanes: Aerial views of hurricanes often show a clear spiral form.
Falcon’s Flight Patterns: The flight pattern, especially when hunting, often follows a spiral.
Waves: The way some waves break can form spiraling patterns.
Human Fingerprints: The ridges and whirls can sometimes resemble Fibonacci spirals.
Animal Horns and Tusks: Certain animals, like the big horn sheep, have spiraled horns that resemble the Fibonacci spiral.
Art: The Fibonacci spiral has been used by artists to guide the composition in paintings and photographs. The “Golden Spiral” or “Golden Rectangle” concept in art is often associated with the Fibonacci sequence.
Architecture: Ancient structures, like the Parthenon in Athens, the great pyramid of Giza in Egypt and the Forbidden City in Beijing, are thought to have dimensions that adhere to the golden ratio, which is related to the Fibonacci sequence.
Music: Some believe that certain compositions in classical music, especially by composers like Beethoven, have patterns that align with the Fibonacci sequence.
Design: Product and graphic designers sometimes use the Fibonacci sequence and the golden ratio to guide their designs for aesthetics and functionality.
Finance: Traders sometimes use Fibonacci retracement levels to predict stock market trends.
Literature: Some authors use the Fibonacci sequence to structure their stories or poems.
Fibonacci Sculptures: Various modern sculptures and installations explicitly reference or incorporate the Fibonacci spiral.
Film: Some filmmakers use the Fibonacci spiral as a guideline for framing and cinematography.