Romanesco Broccoli
From Math Images
(Difference between revisions)
Line 5: | Line 5: | ||
|ImageDescElem=Although the broccoli looks like it grows in accordance to the Fibonacci sequence, does it really? By making ratios between the distances of the vertices of each iteration of the fractals, and then making ratios between the numbers in the fibonacci sequence, then plotting them, the growth of the broccoli in accordance to the sequence was proved. | |ImageDescElem=Although the broccoli looks like it grows in accordance to the Fibonacci sequence, does it really? By making ratios between the distances of the vertices of each iteration of the fractals, and then making ratios between the numbers in the fibonacci sequence, then plotting them, the growth of the broccoli in accordance to the sequence was proved. | ||
|ImageDesc=Proof that the Romanesco Broccoli is a natural example of the Fibonacci sequence: | |ImageDesc=Proof that the Romanesco Broccoli is a natural example of the Fibonacci sequence: | ||
+ | |||
It looks as if the Romanesco Broccoli is a natural example of the Fibonacci sequence. However appearances can deceive. A mathematical and scientific proof does not. I took the main image of the broccoli and I put points on each of the vertices of each fractal iteration. Then I connected each point and made lines. [[image:Ratios_Fibonacci_2.png]] | It looks as if the Romanesco Broccoli is a natural example of the Fibonacci sequence. However appearances can deceive. A mathematical and scientific proof does not. I took the main image of the broccoli and I put points on each of the vertices of each fractal iteration. Then I connected each point and made lines. [[image:Ratios_Fibonacci_2.png]] | ||
Revision as of 15:48, 17 June 2013
Romanesco Broccoli |
---|
Romanesco Broccoli
- This is the Romanesco Broccoli, which is a natural vegetable that grows in accordance to the Fibonacci Sequence, is a fractal, and is three dimensional.
Contents |
Basic Description
Although the broccoli looks like it grows in accordance to the Fibonacci sequence, does it really? By making ratios between the distances of the vertices of each iteration of the fractals, and then making ratios between the numbers in the fibonacci sequence, then plotting them, the growth of the broccoli in accordance to the sequence was proved.A More Mathematical Explanation
Proof that the Romanesco Broccoli is a natural example of the Fibonacci sequence:
It looks as if the [...]Proof that the Romanesco Broccoli is a natural example of the Fibonacci sequence:
It looks as if the Romanesco Broccoli is a natural example of the Fibonacci sequence. However appearances can deceive. A mathematical and scientific proof does not. I took the main image of the broccoli and I put points on each of the vertices of each fractal iteration. Then I connected each point and made lines.
I measured the lines and made ratios.
The following is the graph:
Why It's Interesting
Interest
Teaching Materials
- There are currently no teaching materials for this page. Add teaching materials.
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.