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Fibonacci Patterns in Nature
Created by Shaunak Ghosh
Discover how a simple adding rule grows into stunning spirals and appears in flowers, shells, and more. In just half an hour you’ll build the sequence, sketch the Golden Spiral, approximate the Golden Ratio, and spot these patterns all around you.
Requirements
- Comfort adding whole numbers
- Familiarity with basic rectangles and circles
What you'll learn
- Generate and extend the Fibonacci sequence confidently.
- Explain how successive Fibonacci ratios approach the Golden Ratio.
- Construct a grid of squares with Fibonacci side lengths.
- Draw a smooth Golden Spiral across the grid and justify each arc.
- Identify and articulate Fibonacci spiral patterns in at least three natural objects.
Learning path
5 modules • Each builds on the previous one
1
Fibonacci Addition Rule Basics
Introduce the Fibonacci sequence, emphasizing how each term equals the sum of the two preceding terms, starting from 0 and 1.
1 video7 min
2
Approximating the Golden Ratio
Show how ratios of successive Fibonacci numbers approach φ (approximately 1.618) and relate this to spiral growth.
1 video5 min
3
Building Fibonacci Squares Grid
Convert the numeric sequence into a series of adjacent squares whose side lengths follow Fibonacci numbers.
1 video5 min
4
Sketching the Golden Spiral
Guide learners to connect quarter-circle arcs across Fibonacci squares, revealing the Golden Spiral.
1 video6 min
5
Fibonacci Spirals in Nature
Explore real-world examples—sunflowers, pinecones, nautilus shells—where Fibonacci spirals appear, emphasizing pattern recognition.
1 video5 min
Start Learning
Begin your learning journey
Modules5
Duration25 min
Science-backed learning
In-video quizzes and scaffolded content to maximize retention.
Key concepts
Fibonacci Addition RuleGenerating The Fibonacci SequenceBuilding Fibonacci-Sized SquaresDrawing The Golden SpiralApproximating The Golden RatioRecognizing Spirals In Plants