The Shape of Shells

The Shape of Shells

Gresham College via YouTube Direct link

// Introduction – Mathematics Meets Seashells

1 of 17

1 of 17

// Introduction – Mathematics Meets Seashells

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The Shape of Shells

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  1. 1 // Introduction – Mathematics Meets Seashells
  2. 2 // Three Stories of the Seashell: Evolution, Development & Research
  3. 3 // Types of Seashells: Bivalves, Gastropods & Ammonites
  4. 4 // Spirals, Spines & Fractals in Nature
  5. 5 // The Logarithmic Spiral Explained
  6. 6 // Self-Similarity & the “Eternal” Spiral
  7. 7 // Building a Shell from a Spiral 2D to 3D Growth
  8. 8 // How Mollusks Actually Grow Shells
  9. 9 // Local Growth Rules: Expansion, Rotation & Twist
  10. 10 // Why Some Shells Twist Gastropods vs Ammonites
  11. 11 // How Spines Form: Growth Instability & Mismatch
  12. 12 // Ribbing in Ammonites & the Tug-of-War Model
  13. 13 // Expansion Rate vs Ribbing Buckman’s Law Explained
  14. 14 // Fractal Shells: The Mystery of Recursive Spines
  15. 15 // Fractals Across Nature: From Shells to Shark Teeth
  16. 16 // The Mathematical Rules Behind Biological Fractals
  17. 17 // Conclusion – The Beauty of Simple Mathematical Laws

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