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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Nice! That'll keep me awake :D
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Math clock

Dec 10, 2009  
math clock

Do the math! I dare you...
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Pinocchio paradox

Dec 9, 2009  
paradox

Hmmm...

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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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Silly prediction quiz

Nov 1, 2009  
Take this silly quiz and we will predict your all time favorite tv show!

First pick a number from 1 to 9.

Multiply by 3.

Add 3.

Multiply by 3 again.

Add the two digits together.
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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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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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Ya... so...
Tanya Khovanova has a dirty post on her math blog:


It has to do with what she calls the condom puzzle. Basically, it's a variation of the glove problem:

Suppose there are "m" doctors and "n" patients (with "n<=m"). There are "mn" combination's of examinations that pair doctors/patients. How many surgical gloves are needed so that no doctor wears a glove contaminated by a patient, and no patient is exposed to a glove worn by another doctor?

Of course "mn" is an upper bound, but the minimum number is much smaller (can you see why?).

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Hey guys, there is this game called "Tower Stack" or "Tower Bricks" or "Tower Blocks" (among other names) and you can play it on Facebook, or MindJolt Games, or Brothersoft Games (etc). Here is a screenshot to show what I am talking about:



What you have to do is:
  • - build tower as tall as possible
  • - blocks swing at top and you click mouse to drop them
  • - block will fall after you click and it MUST land on top of the block that you dropped previously (otherwise you lose a "life" - you have 3 "lives")
  • - if you drop PERFECTLY on top, you get bonus points
  • - as the tower gets bigger, it starts to shake back and forth making it harder to drop the blocks on top
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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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Silly but trickly puzzle

Oct 6, 2009  
So my PhD friends couldn't solve the following problem...

3489 = 4
8410 = 4
9120 = 2
8328 = 4
2210 = 1
9910 = 3
9900 = 4
7172 = 0
3884 = 5
9889 = 6
9009 = 4
0911 = 2
8888 = 8

What is 3859?
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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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Silly math test

Sep 7, 2009  
Test your mathematics by answering the following questions (no peaking below):

1. Noah built it.
2. An expression that represents the loss of a parrot.
3. An appropriate title for Koll the knight.
4. A sunburned man.
5. What we do when it rains.
6. What you call someone who wrote for an Inn.
7. What the Captain said when his ship was attacked.
8. What a baby acorn says to his mother about his home.
9. What one does to trees which are in the way.
10. What you do if with yarn and needles.
11. April Fool's pranks that are a month late.
12. Minnie's mother?
13. When you multiply something by itself three times.
14. The musical beat for cutting tree limbs.
15. What a police dog does while looking for a woman criminal.
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How to play STRIMKO

Sep 4, 2009  
I thought it would be fun to create a video on "How to play strimko." It's just like Sudoku but more fun!! Hopefully the creators over at strimko.com don't mind me posting it on Youtube ^_^

STRIMKO

You can view the video here (and you can play the fun game at strimko.com).
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Twenty Questions is a popular game which encourages deductive reasoning. Usually, one person is chosen to be the answerer. That person chooses a subject but does not reveal this to the others. All other players are questioners. They each take turns asking a question which can be answered with a simple "Yes" or "No". Lying is not allowed, as it would ruin the game. If a questioner guesses the correct answer, that questioner wins and becomes the answerer for the next round. If 20 questions are asked without a correct guess, then the answerer has stumped the questioners and gets to be the answerer for another round.

20 questions
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Cool Math Games

Aug 28, 2009  
The net has a great amount of interactive cool maths games. Below are a few sites worth taking a look at. Most of the math games are fun for all ages and they are all absolutely free.

1. http://www.mathplayground.com/games.html

2. http://www.coolmath-games.com/

3. http://resources.kaboose.com/games/math2.html

4. http://www.primarygames.com/math.htm

5. http://cemc2.math.uwaterloo.ca/mathfrog/
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The impossible (yet so simple) dice game.

Play the game:

                           
                                                           





The number of moves until checkmate is:


Instructions:

  • Press the "Roll dice!" button to start.
  • Try and determine how many moves there are until checkmate.
  • Press the "Display Answer!" button to see if you are right.
  • Once you have figured it out, don't spoil the fun for others!

Background:

This game is based on the "Petals Around the Rose" dice game. Both games are easy in the sense that once you know the "secret", you can easily determine the answer in seconds. After hearing of this game, I was able to figure out the secret immediately. Just remember, as in "Petals Around the Rose", the name of the game is important. Note however, you do not actually need to know anything about chess to figure out the secret.
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Play the game here:

                           
                                                           





The number petals around the rose is:


Instructions:

  • Press the "Roll dice!" button to start.
  • Try and determine how many petals are around the rose.
  • Press the "Display Answer!" button to see if you are right.
  • Once you have figured it out, don't spoil the fun for others!
Good Luck! (some of you will need it, lol)
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strimko example


Strimko is a brand new logic puzzle with numbers, just like Suduko. It is based on Latin squares described by Leonhard Euler in the 18th century.

The rules are simple: each row and column of an n x n grid must contain the numbers 1, 2, ..., n exactly once (just like in Sudoku ), and each "stream" (connected path in the grid) must also contain the numbers 1, 2, ..., n exactly once.

Strimko is created and developed by The Grabarchuk Family. It's basically a generalization of Sudoku as Sudoku can be thought of as having 9 streams.

You can play the addicting game at their website: strimko.com
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We had a math camp at University and needed something educational for the elementary school kids. We chose the topic graph theory and decided to teach them about planar graphs. It turns out thathttp://www.planarity.net has this great flash game that you can play where you have to arrange the vertices such that no edges overlap. The kids sure had fun with it. It was created by John Tantalo, a CS undergrad at Case Western Reserve University.

planar graphAnother task we had on paper was for the kids to design an air flight pathway between airports, where the airports are fixed 'vertices', and the flight paths ('edges') can't overlap to avoid crashes.
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rubiks cube picture

Dan Brown takes us inside on how to solve the Rubik's Cube:
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The 5 Pirates Puzzle

Jul 31, 2009  
Five pirates (of different ages) have a treasure of 100 gold coins. On the ship, they decide to split the coins using the following scheme:

  • The oldest pirate proposes how to share the coins, and all pirates remaining will vote for or against it.
  • If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.
Assuming that all five pirates are intelligent, rational, greedy, and do not wish to die, what should the oldest pirate propose to a) survive and b) maximize his profit?

pirate skull cross bones
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The following is a tutorial about how to make the Yoshimoto cube using paper (though it takes a very long time!). To make it you'll need paper, scisors, some glue and some adhesive tape.

How to Make a Yoshimoto Cube origami

You can check out a non-paper version here.

To make one yourself you can print out the following Yoshimoto sheet and try to assemble it yourself :-)
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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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