In mathematics, Fibonacci numbers are an integer sequence created when each subsequent number following the first two numbers is the sum of the preceding two:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…

These sequences can be seen everywhere in nature – in the kernel pattern of a sunflower, the petal arrangements of a rose, the scales of a pineapple, the sections of a piece of fruit, bee hives, shell growth of a nautilus, and in the bracts of a pine cone.

In the **structure** of a pine cone, beginning from the center where the cone is attached to the tree limb and counting outward, the number of spirals extending both clockwise and counter-clockwise will typically be two consecutive Fibonacci numbers.

In this cone, there are 8 clockwise and 13 counter-clockwise spirals.

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. I did jazz about the Golden ratio… it’s riveting how something that looks like random patterns in nature is really so much more complex.

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[…] another great mathmatical post, see Tara’s blog post, “Natural Numbers”, all about the Fibonacci […]

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[…] Natural numbers – Thin spiral notebook […]

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Great structure indeed! Good selection!

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Thank you, Shibin.

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Wonderful photo! Spirals all over the place!

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Wonderful Tara, I hadn’t expected to see a mathematical post on WordPress!!! Fibonacci sequences are really fascinating, did you know that two consecutive numbers in the sequence, increasingly approach a ratio known as the ‘Golden Ratio’. Photographs using this spiral, are naturally appealing to the eye 🙂

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I did know about the Golden Ratio… it’s fascinating how something that looks like random patterns in nature is really so much more complex.

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Maths and nature is a fascinating subject Tara, I wish they would teach children that way at school, it would make it so much more interesting!!! I remember being tought differentiation and integration for A-Level, it was totally meaningless………………..but later whilst working as a geological technician, I read a book about how water flows down a river, and suddenly differentiation made perfect sense! 🙂 But I still don’t see the benefits of integration! Lol!

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I had not thought of that. If I had I know I have pictures of fractal cauliflowers somewhere – romanesco – I had to go look that up. Just as well I don’t start looking at how others meet the challenge until after I post.

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Those types of cauliflowers look almost too violent to eat. (I try to not peek at other entries first either so I can hopefully post something different from everyone else.)

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you seem to be a numberphile

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I do find it fascinating.

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