22 of the Wildest Ways the Fibonacci Sequence Occurs In Nature

‘Pineapples’
22 of the Wildest Ways the Fibonacci Sequence Occurs In Nature

When Fibonacci introduced what would become an eponymous sequence, he did so using rabbits as an analogy. Breeding pairs of rabbits are able to multiply within their ranks infinitely. Unfortunately, because I was told this when I learned about it, all I can ever think about when the Fibonacci sequence comes up is a yard quickly filling with rabbits.

Years have passed, and I have no memory of the numbers or even overall patterns involved. All I remember is “that’s the rabbit equation.” All of this makes me uniquely unqualified to spot the Fibonacci sequence in nature

Luckily, less math-challenged Redditors were more than happy to share strange places the sequence shows up in the wild.

Loves_Poetry 8y ago Ask someone to pick a random number between 1 and a fibonacci number. They are very likely to pick another fibonacci number (+/- 1). When you ask someone to pick a random number between 1 and 100, they're most likely to pick 61 (100 / phi) or 37 (100 / phi2 ) Humans are terrible at picking something random, so they tend to pick something that looks random. If you have to randomly pick a point within a certain range, then you don't want something in the middle, nor do you want something that is too close to either end, so
capilot . 8y ago Edited 8y ago In the way that branches, flower petals, etc. grow. Vi Hart made a wonderful 3-part video about it. It turns out there are real mathematical reasons why these things form fibonacci numbers as they grow.
woollyrabbit 8y ago Miles to kilometers conversion is around 1.61, and the golden ratio is around 1.618, so you get a pretty close approximation of miles to kilometers using the next number in the fibonacci sequence. 2 miles --> ~3 kilometers 3 miles --> ~5 kilometers 5 miles s--> ~8 kilometers 8 miles --> ~13 kilometers 13 miles --> ~21 kilometers
regdayrf2 . 8y ago The sequence can be found in red cabbage. Thus cabbages are the pinnacle of all life on Earth.
pellenor 8y ago | discovered this interesting factoid a few months ago. Rick Astley's Never Gonna Give You Up is seriously a work of mathematical genius. The song's time signature and arrangements were composed based upon the golden ratio, using the same Euclidean Geometric principles popularized by Johann Sebastian Bach. This video offers a pretty fascinating explanation:  (https://youtu.be/dQw4w9WgXcQ)
petertmcqueeny y . 8y ago Romanesco is pretty cool 98 ...
 ] . 8y ago Pinecones
Charred_Ice123 . 8y ago . Edited 8y ago The arrangement of the planets in our solar system are remarkably close to it
crewfish13 . 8y ago My mailbox! My street number is 1123, and I adore it, even if the rest of my family thinks I'm an insufferable geek.
torontomammasboy 8y ago an Ex of mine broke up with me on Nov 23 many many years ago, they had an interest in math. So when I became aware of the Fibonacci Sequence i laughed and asked if they were aware of the date when they broke up with me. We are great friends so it's kinda funny. And I just realized that I missed the date this year. Normally we have a good laugh about it annually. Their not-so-new so thinks we are twisted now I'll have to tell my wife or maybe I did already.
 8y ago My favorite example of the sequence appearing in nature is the ratios of your own body. Most people on earth, their first finger joint is in relation to the second joint is in relation to the third joint = fibonacci sequence. Your hand in relation to your forearm = fibonacci. The distance between your top of head and your belly button in relation to your bottom of feet and belly button = fibonacci. the ratio on each half of your face from your eyes to your chin point = fibonacci. Your inner ear = fibonacci. I am
Pariston 8y ago Pretty sure this is not the strangest place in the universe, but... I was trying to find the probability of getting at least 2 heads in a row in n coin flips. Intuitively I knew it had to tend to 100% but I couldn't manage to prove it using only formulas. So I began to calculate it by hand with n=2, 3, 4 and so on and tried to look for a pattern (not an elegant solution but at this point it was just to satisfy my curiosity). The denominator would be the number of possible outcomes,
BlackMilkMan . 8y ago The stock and currency markets:)
QuinoaPheonix . 8y ago A little off topic, but for your TIL: The Fibonacci sequence was actually discovered 1,000 years earlier by Indian poet/mathematician Pingala.  (https://www.youtube.com/watch? v=gTQeVIDsAi0)
Datenegassie . 8y ago Pineapples.
Darb_Main 8y ago Your arm. Consider your finger nail to be 1, now what remains of your finger tip (the part from the end of the nail to the first joint) is also 1. Then the next space is about 2, then from there to your knuckle is 3. Then from your knuckle to your wrist is 5. Then wrist to elbow is about 8. I know there are no units here but just assume the length of your finger nail to be 1 unit.
ktool69 . 8y ago I always set my guinea pig is free in the morning to feed on my garden while im at work, he always eat in a fibonacci pattern making my garden lawn have this spiral pattern which I measured to be the fibonacci pattern. weird af
pandaimaging . 8y ago The focal length of a medium format lens is 1.618x that of the equivalent 35mm field of view.
krazyeyekilluh . 8y ago I think a Nautilus shell?
 ] . 8y ago Broccoli.
daderpracer21 . 8y ago I would think maybe the antennae of the Mandelbrot set. if you take the bulb directly in the middle of two bulbs, you get the next number in the sequence.
Jamesignatius27 . By : ago Because a male drone bee is born from an unfertilized egg, it only has one parent, while a female bee is born from a fertilized egg, thus having two parents. This makes the ancestry of bees follow a Fibonacci sequence.

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