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.

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 🙂

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!

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.

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.)

. 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.

LikeLike

Great structure indeed! Good selection!

LikeLiked by 1 person

Thank you, Shibin.

LikeLiked by 1 person

Wonderful photo! Spirals all over the place!

LikeLiked by 1 person

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 🙂

LikeLiked by 1 person

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.

LikeLiked by 1 person

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!

LikeLiked by 1 person

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.

LikeLiked by 2 people

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.)

LikeLiked by 1 person

you seem to be a numberphile

LikeLiked by 1 person

I do find it fascinating.

LikeLiked by 1 person