Topological Poker

Feb 28, 2010  
poker

This is interesting. RandomPairing over at the math subreddit listed some rules for a game called Topological Poker (aka Dicks and Hoes), which I assume he created himself. [I did a google search for "Topological Poker" and only got the subreddit, and then did a search for "Dicks and Hoes" and got a bunch of dirty sites but no poker ones.]

RandomPairing explains...
"There are four ranks of cards, instead of the usual 13. Instead of 2 through Ace, cards are ranked according to the topological classification of their symbol ... 2,3,5,7,J,K all have the same property that they can be deformed into a dot or line. These are the lowest ranked cards. In fact, by themselves they're worth dick--hence the name for these cards.

4,6,9,A are topologically the same as a 'o', and hence are called holes, ohs, or--if you can get away with it--hoes. These are the second ranked cards in ascending order.

10 is in a class by itself because it's a combination of a dick and a hoe, so it's called a Split, and is third ranked.

8,Q are topologically the same because of the way the Q is made on cards, with the slash going all the way across and creating two holes. This is the highest rank--the double hoe, or just double."
Go to the reddit link to find out the rules of play.
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Fibonacci Spiral

Feb 22, 2010  
The Fibonacci Spiral in nature:

NautilusCutawaySpiral.jpg


golden-ratio.jpg


golden-ratio2.jpg


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Why asians rock at math

Jan 28, 2010  
This is old but still... LOL

asians rock at math
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Dudeney numbers

Jan 16, 2010  
This is pretty neat. A Dudeney number is a positive integer that is a perfect cube such that the sum of its decimal digits is equal to the cube root of the number. For example:
5832 = 18 x 18 x 18... and 5 + 8 + 3 + 2 = 18.

How many such numbers do you think exist?

Well, it turns out there is exactly 6. They are: 1, 512, 4913, 5832, 17576 and 19683.
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Just a note that today is Stephen Hawking's birthday and also Galileo's death day.


Galileo Galilei
Born: Feb 15th, 1564 (Pisa)
Died: Jan 8th, 1642 (Arcetri)



Stephen William Hawking
Born: Jan 8th, 1942 (Oxford)
Died: Should have died five decades ago.


Hawking's birth occurred on the 300th anniversary of Galileo's death!

Hawking says, "Galileo, perhaps more than any other single person, was responsible for the birth of modern science."


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Perfect Pizza Slicing

Dec 16, 2009  
This has honestly been all over the internet. EVERY single blog/website I read had this -- boing boing, slashdot, digg, digg again, mixx, reddit (posted 4 times actually), among with a billion other sites.

PIZZA MATH!!!
PIZZA MATH!!!
PIZZA MATH!!!

AHHHH. Enough with the stupid pizza slicing!!. Anyways, if you seriously haven't seen this yet then it's at the link below:

"Suppose the harried waiter cuts the pizza off-centre, but with all the edge-to-edge cuts crossing at a single point, and with the same angle between adjacent cuts. The off-centre cuts mean the slices will not all be the same size, so if two people take turns to take neighbouring slices, will they get equal shares by the time they have gone right round the pizza - and if not, who will get more?

Of course you could estimate the area of each slice, tot them all up and work out each person's total from that. But these guys are mathematicians, and so that wouldn't quite do. They wanted to be able to distil the problem down to a few general, provable rules that avoid exact calculations, and that work every time for any circular pizza."

New Scientist Link

And what kind of post would this be if I didn't include a picture. Blue pizza yum:

blue pizza
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Pi crop circles

Dec 13, 2009  
You may have seen this already since it dates back to June 2008... But there was reports of a crop circle that represented the first 10 digits of pi (including the decimal point). Pictures below.

crop circle


crop circle
Believers in aliens argue it was made by mathematically minded aliens... But of course, there is a super high probability it wasn't.

One thing is that it is in base 10. If aliens made it, why would they use base 10 unless they have been studying our race for a long time. In which case, why would they leave silly circles in random fields? Also, the smart aliens live in England, since these kinds of mathematical crop circles have appeared there a few times.
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Pinocchio paradox

Dec 9, 2009  
paradox

Hmmm...

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Pi explaination

Dec 6, 2009  
explain pi


This is neat hahaha... No idea where it came from. It says gifbin.com on the image though :D

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Do the math - weightloss

Dec 3, 2009  
Want to lose 10 pounds within two months? All you have to do is the math!!

My simple 5 step program is flawless I tell ya, FLAWLESS!
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Via reddit I stumbled upon this site which talks about something called hyperreal numbers and claims that in this theory, the equation 0.999... = 1 is false.

For those who follow the internet, the question of whether 0.999...=1 has come up a quadbrazillion times on practically every math related forum and even the non-math ones. And every single time it turns into this huge argument with
non-mathematicans vs frustrated-mathematicians
and neither of them winning. Some mathie forums even have strict rules banning users against posting topics that deal with 0.999....=1.

But the site mentioned above actually gives some decent points to support why 0.999...=1 isn't necessarily true., but you have to change some of the concepts that we take for granted.

In my opinion, 0.999... and 1 are as equal as can be.
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Are the reals countable?

Nov 29, 2009  
John Gabriel (a non-mathematician) claims in his blog that the real numbers are countable. The author tries to enumerate the real numbers in the interval [0, 1) by writing out all those whose decimal representation has one digit after the dot (0.1, 0.2, ..., 0.9), followed by those with two digits after the dot, then those with three digits, and so on.

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This is a neat little paper regarding the number 3435. Basically it has the following property:

3435 = 3^3 + 4^4 + 3^3 + 5^5

More interesting is that the only other number with this 'property' is the number 1. The property is what he calls a "Munchausen Number". The preprint was written by Daan van Berkel and can be found on the arxiv.
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Guess 2/3 of the average

Nov 11, 2009  
The game is...
  • you compete against some other people
  • each of you guess one number from [0, 100]
  • compute 2/3rd's of the average of the guessed numbers
  • the winner is whoever is closest
For example, if the numbers guessed are 7, 28, 53, 77, then the 2/3rd's the average is:
(0.66666) x ([7 + 28 + 53 + 77] / 4) = 27.5
Therefore, whoever guessed 28 wins!!
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There are a few ways you can organize the digital papers you download.

1. One such way is using Zotero. Basically, Zotero [zoh-TAIR-oh] is a free, easy-to-use Firefox extension to help you collect, manage, and cite your research sources.

zotero.jpg
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X NDPZ FSY'Z RBYZ ZS IA ZLAKA RLAY XZ LBMMAYP.

Can you decode it? If not, let's go through some general strategies that will help :D
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Divisibility Tricks

Oct 27, 2009  
Is the number N divisible by.... 2? 3? 5?

Everyone knows the first trick:
N is divisible by 2 if its last digit is 0, 2, 4, 6, or 8 (that is, last digit is even).

Most people know the next trick:
N is divisible by 3 if the sum of the digits is also divisible by 3.
You can repeat this rule too.

For example: Is the number 93,225 is divisible by 3? Well...
9+3+2+2+5 = 21
And, 21 is divisible by 3, hence 93,225 is divisible by 3.
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How to solve the sudokube

Oct 26, 2009  
The Sudoku Cube is a ripoff of the Rubik's Cube, where each face has the numbers 1-9 instead of colours. The goal:
put the numbers 1-9 on each side with no repetition

Sudokube.jpg It was created in 2006 by some guy named Jay Horowitz in Ohio. You can buy it at Barnes and Noble and some other places. In what follows we briefly describe how to solve it...
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Doing a school project on mathematicians? Don't pick Einstein like your mom would... pick one from the following list instead. Then google their name + wikipedia, and tada, instant math project done!
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Over on the xkcd forums there was a post about the number of google results for the word google with a varying number of "o's". Such as:
gggle
goggle
google
gooogle
...
goooooo *125 o's in total*  oooogle
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In this post we learn all about the math behind low riding pants and how cool it really is.

I decided to do a study just to see what the relationship was. I interviewed 13,532 people and showed them each 6 pictures of people wearing low riding pants. I then asked them to select a "COOLNESS FACTOR" for each picture.
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In this post I will teach you how to count using only your fingers! That's right boys and girls!!

Disclaimer: I first have to apologize to those people who have lost their hands (or some fingers), but this will still apply to you (however, you won't be able to count as high). Now if you have no hands but are good with putting your toes up and down then this will also work. If you have no hands and no feet... then ask a friend to help you. If your friend has no fingers and no toes, then ask one who DOES to help you. If you have no friends that have fingers or toes, then... monkey sticks >_>

Method 1 (Traditional Method):

Yup, you guessed it!
one finger = 1
two fingers = 2
three fingers = 3
...
nine fingers = 9
ten fingers = 10

Amazing! But did you know you can count to 10 using only one hand? The chinese are WAYYYY ahead of us (north americans) when it comes to counting. This takes us to method 2.
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Tom Davis has a great article on the mathematics of sudoku. He first describes a brief history of the puzzle and how to play. Then he discusses why it is mathematically interesting (it is, trust me!). He goes through some obvious strategies that a lot of people try when doing sudoku and some other clever strategies. Definitely check it out if you have time!

sudoku.jpg
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Math fails in history

Oct 3, 2009  
Dick Lipton wrote a great post over at Gödel's Lost Letter and P=NP. In his Sept 27th post he talked about surprises in mathematics. In one of his sections he gives three examples of where mathematicians "accepted" a false proof. Sometimes this happens and it might be dozens of years until someone realizes a mistake has been made.

One interesting example of this is the Four Colour Theorem (that's right ya bunch of monkeys, I spelled colour with a U!!!)...
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Hey guys,

Based on my previous post of "How many girls are there for me," I thought it would be interesting to see how many guys there are for me. So hypothetically let's pretend I am gay and a top (if you don't know what that means you should get some more gay friends lol). Just a recap that I found out in the last post that:
11, 414 girls
are suitable matches for me.

Now, some of my stats I used from counting the number of girls for me still hold. The male population on the planet is about:
Male population on earth in 2009:
3,500,000,000
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Hey guys,

I don't have a girlfriend but I don't think there is anything wrong with me, hahaha... but being the mathematician that I am, let's look to see how many girls exactly would be a match for me :D

I went onto Wolfram|Alpha and looked up the female population on the planet and got:
Female population on earth in 2009:
3,326,000,000


But I am looking for a girl who is in North America. Restricting this number to Canada and the United States gives:
171, 230, 000 girls
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All winners who are in Canada have to answer math problems before getting any prize. Things like...
90 x 2, then divide by six, then x 12

This question was for claiming an Xbox 360 in a contest, so the answer of course is 360!

But WHY?? Americans don't have to do it, a monkey on a stick can win prize in the U.S and not even know how to do 1+2. But in Canada, to even win the McDonald's hockey trading cards you need to do these silly computations.
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Girls are dumb at math

Sep 26, 2009  
Oh jeez, with a title like that I'm sure to get my ass kicked :-\

"In tests in Canada, women who were told that men and women do math equally well did much better than those who were told there is a genetic difference in math ability.

And women who heard there were differences caused by environment -- such as math teachers giving more attention to boys -- outperformed those who were simply reminded they were females.

The women who did better in the tests got nearly twice as many right answers as those in the other groups, explained Steven J. Heine, a psychology professor at the University of British Columbia in Vancouver."
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Identical lottery draw

Sep 18, 2009  
In Bulgaria's national lottery, the same six winning numbers were drawn twice in a row. Minister Svilen Neikov ordered an investigation after the numbers 4, 15, 23, 24, 35 and 42 were selected, in a different order, by a machine live on television on September 6th and 10th. Some thought the results were manipulated, however after an investigation there was no wrongdoing found.

A total of 18 people got all six numbers when they were drawn the second time and each got $7,700. Nobody guessed right the first draw.

Mathematicians say that the chance of drawing the same six numbers in two consecutive rounds is about 1 in 4.2 million.

The following website has some calculations dealing with lottery math and whether it's better to play 50 dollars in one lottery, or play one dollar in fifty lotteries.
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When to get married

Sep 14, 2009  
Do you know when to get married?

When you meet someone, how do you know you won't find someone better? Love aside, let's look at this from a mathematical viewpoint.

Suppose you are a guy, and are interested in say... girls. Let's say over the course of your life you meet 100 girls and each girl is ranked by how good of a mate she would be with you. The obvious solution is to just meet each of the 100 girls and pick the one that is ranked the highest. BUT... by the time you met all 100, you will be an old geezer and on your death bed. So what is one to do?
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Happy 09/09/09 day!

Sep 9, 2009  
For those of you who don't know, it is indeed 09/09/09 day. Woohoo? Ya I know, it's just another day, but for some reason the general public LOVES symmetry, so let's give them what they like to hear ;-)

First, since it's not a leap year, September 9, 2009, is the 252nd day of the year. But,
2+5+2=9

Second,
9 x 9 x 9 = 27
and
2+7=9
WOW! Are you amazed yet (directed towards the non-mathematicians). But wait, there's more!
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This cool youtube video shows how to turn a sphere inside out without making a hole, tearing it, or creasing it!

3d picture of sphere
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Take a look at this video of Scott Flansburg on the Discovery Channel's "More Than Human":

Scott Flansburg takes cubed roots fast

In the video you see Scott Flansburg take the cubed root of 658,503 to get an answer of 87 in a matter of a second. How does he do it you ask?
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squaring.png
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Adam Micolich has posted a video to show how using the "packing fraction" one can come up with a very accurate guess to the number of M&Ms in a jar.

How to Guess the Number of MMs in a Jar
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The Fibonacci sequence:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
can be used to convert miles to kilometers (and vice versa). For example, to find how many km 5 miles is, take the next Fibonacci number which happens to be 8. Thus, 5 miles is approximately 8 km. Similarly, 8 miles is approximately 13 km, and so on.

This works because the growth rate of the Fibonacci numbers converges to the golden ratio (approx 1.618) which happens to be very close the km/mile conversion (1 mile = 1.609 km).
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Using prime numbers, you can amaze your friends with a prime prediction...

1. Ask your friends to pick any prime number greater than 3.
2. Square it.
3. Add 14.
4. Divide by 12.

Without knowing which prime number your friends picked, you can still tell them:
    There will be a remainder of 3.
But HOW does it work?
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