Fibonacci Numbers
1 – 1 – 2 – 3 – 5 – 8 – 13 – 21 – 34 – 55 – 89 – 144 ….
One of the cool things about spirals based on Fibonacci numbers (i.e., the golden spiral) is that in many plants, one can see both clockwise spirals and counterclockwise spirals.
The number of spirals in each direction in a mature plant almost always are consecutive Fibonacci numbers.
In the following picture of a mammillaria seen at the Los Angeles County Arboretum on February 13, 2020, there are 34 clockwise spirals and 21 counterclockwise spirals.
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I don’t know a lot about math, but this is cool.
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Precise picrure! 😀
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I’m a bit embarrassed to say this, but I had to look up Fibonacci numbers, and that kind of blew my mind. Wikipedia says there is a quarterly journal dedicated to these numbers.(!) Thanks for introducing me to this – and thanks for sharing that beautiful photo.
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The Fibonacci Quarterly is published by The Fibonacci Association, which was founded in 1964. I have been a member since 1973. It’s quite a technical journal by quite a technical association. I have found that there basically are four types of members: pure mathematicians, pure botanists, botanist-mathematicians, and people like me just looking for the beauty in nature.
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Yes – I love how nature has inspired maths!
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