I started reading about Fibonacci numbers.

This post has some really awesome facts about Fibonacci numbers.

### Using Fibonacci Numbers to Convert from Miles to Kilometers and Vice Versa

Yes, Fibonacci numbers can be used to do this!

Take two consecutive Fibonacci numbers, for example 8 and 13. And you’re done converting. No kidding – there are 13 kilometers in 8 miles. To convert back just read the result from the other end – there are 8 miles in 13 km!’

So, if you need to convert a number that is not a Fibonacci number, just express the original number as a sum of Fibonacci numbers and do the conversion for each Fibonacci number separately.

#### why it works?

Heard about Golden ratio?

Fibonacci numbers have a property that the ratio of two consecutive numbers tends to the Golden ratio as numbers get bigger and bigger. The Golden ratio is a number and it happens to be approximately 1.618.

Yes, you thought it right, there are 1.609 kilometers in a mile, which is within 0.5% of the Golden ratio.

A beautiful coincidence that the Golden ratio is almost the same as kilometers in a mile.

### Fibonacci numbers in Nature!

Have a look.

### No neighboring Fibonacci numbers have common factors

Yes. Let’s take 8 and 13. No common factors right? Want to take another example? okay. Think about 5 and 8. No right? Cool. 🙂

### Every number is a factor of a Fibonacci number

Yes.

### Discover large prime numbers

Any Fibonacci number that is a prime number must also have a subscript that is a prime number (with the exception of the Fibonacci number 3, whose subscript is 4. This property can be used to discover larger prime numbers.

More : here.

what’s a subscript of a number?

And can you explain how to convert km to miles and viceversa in case of non Fibonacci number.

let’s take 18 for example. How much is 18miles in km

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Reblogged this on Tux-Mex and commented:

I remember the day I walked around at university picking up pinecones on the way after reading this: http://britton.disted.camosun.bc.ca/fibslide/jbfibslide.htm

to see if the fibonacci thing was for real. And guess what? YES! Here’s more. Fun stuff 🙂

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