## Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-) |

# another very long task

### #1

Posted 12 August 2012 - 06:23 AM

### #2

Posted 12 August 2012 - 04:10 PM

let heads be 1 and tails be 0. can you flip a coin enough times to form an irrational number?

This puzzle statement may be undercontrained,

### #3

Posted 12 August 2012 - 04:59 PM

### #4

Posted 12 August 2012 - 08:10 PM

clearly no finite number of flips will be enough, assuming you're not allowed to apply a function to it.

but can you mathematically flip an infinite number of coins to represent an irrational number?

i guess what I'm asking is, is the digits of a single irrational number countably infinite?

### #5

Posted 12 August 2012 - 09:44 PM

### #6

Posted 13 August 2012 - 04:15 AM

### #7

Posted 13 August 2012 - 05:33 PM

### #8

Posted 13 August 2012 - 06:16 PM

I'm very interested in knowing how you get 16 flips for the value pi, since pi is transcendental.

### #9

Posted 13 August 2012 - 07:00 PM

*Vidi vici veni.*

### #10

Posted 16 August 2012 - 05:36 AM

okay maybe some clarification is in order.

clearly no finite number of flips will be enough, assuming you're not allowed to apply a function to it.

but can you mathematically flip an infinite number of coins to represent an irrational number?

i guess what I'm asking is, is the digits of a single irrational number countably infinite?

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users