Fibonacci Spiral And The Golden Ratio
This animation builds a spiral from a sequence of squares whose side lengths follow the Fibonacci numbers, showing how quarter-circle arcs drawn inside each square link together into a smooth spiral. As the squares grow, the ratio of consecutive Fibonacci numbers is tracked numerically, converging visibly toward the golden ratio 1.618. Useful for students studying number patterns, geometric growth, and the connection between algebra, geometry, and patterns found in nature like shells and sunflowers.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Visualize the Fibonacci spiral with golden ratio
Make the next one in this series
- Show the golden ratio appearing in a regular pentagon and pentagram
- Compare the Fibonacci spiral to a true logarithmic golden spiral
- Illustrate Fibonacci numbers appearing in sunflower seed head patterns
