What is the Fibonacci sequence? - Deepstash
Music and Productivity

Learn more about scienceandnature with this collection

How to choose the right music for different tasks

The benefits of listening to music while working

How music affects productivity

Music and Productivity

Discover 36 similar ideas in

It takes just

10 mins to read

Fibonacci numbers are important

Fibonacci numbers are important

Fibonacci numbers explain how things expand and why they give rise to spirals.

You can find Fibonacci numbers all over the natural world. The number of petals on a flower is a Fibonacci number. Cut open a fruit, and you'll find a star shape with a Fibonacci number of arms. A banana has a three-pointed star, and apple a five-pointed star. The cells on a pineapple have several Fibonacci numbers.

If you take squares whose dimensions correspond to the Fibonacci numbers, then you can arrange them in an expanding rectangle.

12

63 reads

The Fibonacci sequence

The Fibonacci sequence

1, 1, 2, 3, 5, 8, 13, 21…

Every number in the sequence is created by adding together the two previous numbers. The next Fibonacci number is 13 + 21 = 34.

Hidden inside this sequence is the golden ratio. Many artists regard the golden circle as the perfect proportion for a canvas.

12

65 reads

Origin of Fibonacci numbers

Origin of Fibonacci numbers

The numbers are named after a 13th-century Italian mathematician known as Leonardo Bonacci. In 1853, historian Guillaume Libri started to refer to him as Fibonacci (son of Bonacci).

In 1202, Fibonacci wrote about these numbers in Liber Abaci. The book was meant to support new ways of doing computation as Europe still used Roman numerals and the abacus to do calculations. He explained the power of the Hindu Arabic numerals, and how the Indians used the numbers 1 to 9 with a revolutionary new concept of 0 in a place number system.

11

42 reads

Fibonacci did not discover these numbers

Fibonacci did not discover these numbers

The numbers were discovered by Indian poets and musicians who used them to understand rhythm in music and poetry.

Modern musicians also used the Fibonacci numbers in their work. Debussy used them in his La Mer, Bartok in his Music For Strings, Percussion and Celesta. There's a new form of poetry named Fib, where each line has syllables corresponding to the Fibonacci sequence.

11

67 reads

CURATED BY

antoniov

"Try not to be a man of success, but a man of value." - Albert Einstein

CURATOR'S NOTE

The Fibonacci sequence is used in art, composition, maths, nature, music, investing and more.

Ready for the next level?

Read Like a Pro

stash-superman-illustration

Explore the World’s

Best Ideas

200,000+ ideas on pretty much any topic. Created by the smartest people around & well-organized so you can explore at will.

An Idea for Everything

Explore the biggest library of insights. And we've infused it with powerful filtering tools so you can easily find what you need.

Knowledge Library

Powerful Saving & Organizational Tools

Save ideas for later reading, for personalized stashes, or for remembering it later.

# Personal Growth

Take Your Ideas

Anywhere

Organize your ideas & listen on the go. And with Pro, there are no limits.

Listen on the go

Just press play and we take care of the words.

Never worry about spotty connections

No Internet access? No problem. Within the mobile app, all your ideas are available, even when offline.

Get Organized with Stashes

Ideas for your next work project? Quotes that inspire you? Put them in the right place so you never lose them.

Join

2 Million Stashers

4.8

5,740 Reviews

App Store

4.7

72,690 Reviews

Google Play

Sean Green

Great interesting short snippets of informative articles. Highly recommended to anyone who loves information and lacks patience.

Ashley Anthony

This app is LOADED with RELEVANT, HELPFUL, AND EDUCATIONAL material. It is creatively intellectual, yet minimal enough to not overstimulate and create a learning block. I am exceptionally impressed with this app!

Shankul Varada

Best app ever! You heard it right. This app has helped me get back on my quest to get things done while equipping myself with knowledge everyday.

samz905

Don’t look further if you love learning new things. A refreshing concept that provides quick ideas for busy thought leaders.

Ghazala Begum

Even five minutes a day will improve your thinking. I've come across new ideas and learnt to improve existing ways to become more motivated, confident and happier.

Giovanna Scalzone

Brilliant. It feels fresh and encouraging. So many interesting pieces of information that are just enough to absorb and apply. So happy I found this.

Laetitia Berton

I have only been using it for a few days now, but I have found answers to questions I had never consciously formulated, or to problems I face everyday at work or at home. I wish I had found this earlier, highly recommended!

Jamyson Haug

Great for quick bits of information and interesting ideas around whatever topics you are interested in. Visually, it looks great as well.

Read & Learn

20x Faster

without
deepstash

with
deepstash

with

deepstash

Access to 200,000+ ideas

Access to the mobile app

Unlimited idea saving & library

Unlimited history

Unlimited listening to ideas

Downloading & offline access

Personalized recommendations

FAQ

Claim Your Limited Offer

Get Deepstash Pro

Supercharge your mind with one idea per day

Enter your email and spend 1 minute every day to learn something new.

Email

I agree to receive email updates