Some fun stuff to think about:
1) PROVING: 1 = 0.999999...
FIRSTLY: 1 = 3/3
1/3 = 0.3333333333333...
2/3 = 0.6666666666666...
3/3 = 0.9999999999999...
THEREFORE: 1 = 0.99999999999999...
2) Just came across this one...
Thanks to Kakutani's fixed point theorem, the following is true:
3) Get 23 people in a room. There is now an over 50% chance that at least two people in that room share the same birthday.
4) Calculate Pi by throwing frozen hot dogs on to your kitchen floor. Seriously!
http://www.wikihow.com/Calculate-Pi-by-T...n-Hot-Dogs
5) A brilliant puzzle that involves wrapping the entire earth in a metal band. Really hard to believe the solution to this one:
http://www.mathsisfun.com/puzzles/band-a...ution.html
And to finish. The most beautiful equation in mathematics!
Behold - The Euler identity:
1) PROVING: 1 = 0.999999...
FIRSTLY: 1 = 3/3
1/3 = 0.3333333333333...
2/3 = 0.6666666666666...
3/3 = 0.9999999999999...
THEREFORE: 1 = 0.99999999999999...
2) Just came across this one...
Thanks to Kakutani's fixed point theorem, the following is true:
Quote:Quote:
Take a map of the city in which you live. Now lay the map down on the floor. There exists at least one point on the map which tells the location of the corresponding point below it on the floor.
3) Get 23 people in a room. There is now an over 50% chance that at least two people in that room share the same birthday.
4) Calculate Pi by throwing frozen hot dogs on to your kitchen floor. Seriously!
http://www.wikihow.com/Calculate-Pi-by-T...n-Hot-Dogs
5) A brilliant puzzle that involves wrapping the entire earth in a metal band. Really hard to believe the solution to this one:
http://www.mathsisfun.com/puzzles/band-a...ution.html
And to finish. The most beautiful equation in mathematics!
Behold - The Euler identity:
![[Image: euler-identity.png]](http://wordpress.mrreid.org/wp-content/uploads/2012/07/euler-identity.png)