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Science project idea

Fibonacci numbers in nature

In the sequence 1, 1, 2, 3, 5, 8, 13 and so on, each number is the sum of the two before it, and the ratio of neighbours gets closer to about 1.618, the golden ratio. The spirals on sunflower heads and pine cones often come in Fibonacci numbers.

What it shows

In the sequence 1, 1, 2, 3, 5, 8, 13 and so on, each number is the sum of the two before it, and the ratio of neighbours gets closer to about 1.618, the golden ratio. The spirals on sunflower heads and pine cones often come in Fibonacci numbers.

This idea has a short entry only. For the science behind it, read the sentence above with your textbook and ask your teacher to explain the law or idea it shows, so you can describe it in your own words.

Materials

  • Pine cones, sunflower heads or pineapples
  • Coloured markers to count the spirals
  • Graph paper
  • A calculator

Safety

This project uses safe, everyday materials. Still, read the rules below with a parent before you start.

Never use mains electricity: power models with cells, batteries or a low-voltage adapter. Sharp and hot tools, flames and lab chemicals need an adult or your teacher beside you. Keep magnets, button cells and small parts away from young children, and wash your hands after making.

All the safety rules

How to go about it

Numbered steps have not been written for this idea yet. Plan it with your teacher: sketch the design with measurements, build one part at a time, test each part, and write every observation with the date. The free ebooks below have step-by-step projects of the same kind.

Free ebooks for this project

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