- Q1 states that Q1-5 must have at least one B.
- Q3 states that the number of Qs with answer E is 0-4.
- Q4 states that the number of Qs with answer A is 4-8.
- Q6 Answer to Q17 is C, D or E.
- Q8 states that the number of Qs with answer of A is 4-8.
- Q9 states that Q10 is A or Q11 is B or Q12 is C or Q13 is D or Q14 is E.
- Q11 states that there are 0-4 Qs before it with answer B.
- Q13 states that either 9,11,13,15,17 are A.
- Q14 states that the number of Qs with answer D are 6-10.
- Q17 states that the answer to Q6 is C, D, or E.
Self-Referential Aptitude Test
Aug 10, 2010God's number is 20
Aug 9, 2010
A team of researchers has shown that no position of the Rubik's cube requires more than 20 moves by using around 35 CPU-years of idle computer time donated by Google. The algorithms used by those fast cube solvers typically require more than 40 moves.
"One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. The number of moves this algorithm would take in the worst case is called God's Number. At long last, God's Number has been shown to be 20."It should be noted that there exists configurations of the Rubik's cube which require at least 20 moves to solve, as shown by Michael Reid who proved that the ''superflip'' position requires 20 moves.
(Source Cube20.org)
Conway's game of life (in html 5)
Jul 13, 2010
This is my initial configuration above, the number 42.
After a while, it evolves into the configuration above.

Near the end, it produce 2 gliders (on the far right and far left) that travel on forever, along with a few blocks and behive.
I'm not sure what I was hoping for. I tried about 50 different configurations which all look like the number 42 to see if I could get a "gun" but so far all the ones I tried ended up with still lives, oscillators, and a few spaceships.
I think it'd be pretty cool if you could start with 42 and get a gun that continues to "create life"!
Update: Thanks!
Jul 5, 2010Hi math geeks (as well as nerds, dorks, and dweebs)!
I wanted to give a shout out and huge thanks to all my subscribers and random visitors. Some of you already know that I also host SpikedMath.com where I like to post lame math comics. Without your readership, comments and love I probably would have given up on these two sites.
Next month I'll be officially launching a little store (which seems to be the "cool thing" to do) where you will have the option to own your very own geeky math merchandise (but you guys can have a sneak peak at what I have set up right now: math shirts). I don't have any Spiked Math stuff posted yet, just some silly math shirts in a few of the categories - some of the categories are empty, but hopefully before the end of August I will find the time to polish it off. Some sample cheesy designs I currently have available are:

Hopefully I can get on top of this soon.
Once again, thank you for all of your support and for visiting Math Fail!!
Mike and the Math Fail Team (which consists of just Mike).
Surface area of a cylindar and more!
Jun 15, 2010
The second one is a nice little comic about bias:
The third is something silly she wrote on her math test. She says:
"An actual picture of a MAT140 test I took. (At least the grader seemed mildly amused.)"
Sphericons
Jun 7, 2010Over at Fold Play, someone turned a pie into a sphericon - watch as it rolls in a straight line down the slope. Pretty neat.
They also have templates to make your own sphericon pie.
Coincidence? I think not!
Jun 2, 2010
Basically the site shows two random graphs like the above example, where the first graph is "usage share of internet explorer" and the second graph is "annual deaths from tuberculosis". Then people can vote whether it was a coincidence or not. The are some funny examples of statistical correlation which are just coincidence. (see the wikipedia article on Correlation does not imply causation).
"The Purple Nurple Optical Illusion" and more
May 21, 2010
Another optical illusion I like (not sure who created this one) is the following:

Math relationship search
Apr 23, 2010
This website let's you search for your relationship to other mathematicians (assuming you have a Ph.D.).
Shoe Lacing Math
Apr 20, 2010
How many ways are there to tie your shoes?
Depends on the shoes, but Ian has done some calculations (under certain assumptions) to show there are over 2 trillion ways!
Mathematician, Burkard Polster, published an article in the journal Nature (December 2002) about the mathematics of shoe lacing. His calculation for the number of 'real-world' lacing methods (of a shoe with 12 eyelets) is 43,200. He also has a shoe lace book that is published by the AMS.
Another crackpot "mathematician"
Apr 14, 2010"In 4,000 years of mathematics no one has been able to show a ratio for pi. We will show just how to produce that ratio. They state that pi is the ratio of the circumference of a circle to its diameter and then go on to prove that there is no ratio. Therefore concluding that the ratio is only a mere approximation of a true value. You will be surprised about how to establish a ratio for pi as well as how to prove that the present day calculation for pi is invalid."They later go on to prove that pi = 201 / 64 by using "addition - subtraction - multiplication - division and square root extraction".
Located at PureMathTheory.com.

Antarctica Journal of Mathematics
Feb 25, 2010Take a look at the website for the "Antarctica Journal of Mathematics". Reminds me of the websites that flooded the net back in the 90's.

Yup, those stars are supposed to be flashing!!
Link to journal.
Link to reddit discussion about it.
Math Christmas Links
Dec 19, 2009Here are some of the best links I have collected (along with excerpts):
The Mathematics of Christmas (via Devlin's Angle):
"To keep the math simple, let's assume that these 108 million stops are evenly distributed around the earth. That means Santa is faced with a mean distance between households of around 0.75 miles, and the total distance Santa must travel is just over 75 million miles. Hence Santa's sleigh must be moving at 650 miles per second -- 3,000 times the speed of sound. A typical reindeer can run at most 15 miles per hour. That's quite a feat Santa performs each year."
"Every H0 down in Math-ville liked Mathmas a lot
But the Grinch, who lived (x-100,y+20,z+1300) from Math-ville, did not!
The Grinch hated Mathmas! The whole Mathmas season!"
The 12 Days of Finals (via mathNEWS)
"On the nth, n ε Z, n ε [1,...,12] day of finals, my TA gave to me...
n = 1: a bell curve to make sure I pass!
n = 2: two painful proofs
..."
Your guide to finding the perfect gift for that "friend" (via mathNEWS)
"Operations Research: Really, what are they researching? Certainly not good Christmas gift ideas, like me! What you really want to get them is a spy kit! Something like... Magnifying glasses and a detective hat, to help them research with more awesome attire!"
Another Mathie Christmas Carol (via mathNEWS)
"What Function's This?
(To the tune of "What Child Is This?")
What function's this? When added to
c times its derivative gives me
An f(t), oh how can we
Solve this first order DE?"
Squeeze - Merry Mathmas (via mathNEWS)
"Once upon a time there was a theorem known as Squeeze's Theorem. This theorem wasn't particularly nice at all. In fact, he would pinch functions and force them to converge. He never celebrated Mathmas. However, all of that was going to change on this: Mathmas Eve."
Christmas Math Jokes (via MathFail)
"Q: Why do mathematicians often confuse Christmas and Halloween?
A: Because Oct 31 = Dec 25.
Q: What's purple, round, and doesn't get much for Christmas?
A finitely presented grape."
A Calculus Carol (via MathFail)
"Oh, Calculus; Oh, Calculus,
How tough are both your branches.
Oh, Calculus; Oh, Calculus,
To pass what are my chances?
Derivatives I cannot take,
At integrals my fingers shake.
Oh, Calculus; Oh, Calculus,
How tough are both your branches."
My 4-regular Christmas Tree (via Brown Sharpie)
Snow Day (via Brown Sharpie)
Happy Holidays, fellow grad students (via Brown Sharpie)
Snow Angles (via Brown Sharpie)
There are lots of rings I like (via Brown Sharpie)
Happy Holidays! (via Brown Sharpie)
Gentlemen, I accept! (via Brown Sharpie)
Holiday Tradition (via Abstruse Goose; click for full comic)
AP Calculus Christmas Carols
AP Calculus Christmas Carols (via Youtube)"Riemann Sums
(sung to the tune of Jingle Bells)Riemann Sums, Riemann Sums
Counting Areas
Of rectangles whose widths get small
We need to count them all
Riemann Sums, Riemann Sums
Counting Areas
Of rectangles whose widths get small
We need to count them all."
"I recorded this during my AP Calculus Class right before the holiday seasons. And when I say we are Math geeks this will prove it to you!!! Muhahahaha!!!"A Christmas Proof (via (x,why?) webcomic)
"I wrote this proof on the blackboard my first year teaching in an 8th grade honors math class in the last five minutes of class on the day before Christmas break. Strangely, now that I teach in high school, I haven't been able to use it as I'm never at the right point in the curriculum for them to follow the "logic"."
Christmas Treats (via (x,why?) webcomic)
"Christmas is about more than the giving and receiving.It's also about the baking and the eating."
Bagel Links
Dec 15, 2009
Try it out if you are geeky enough :-D
Someone else tried it on some other kind of pastry:
But I can't remember where I saw the second picture...
pi song
Dec 14, 2009
*Listening to the pi song*
It loops. I've been listening to it for 7 hours now. I don't know pi yet. But the song just recites the first x digits of pi over and over and over. I also don't know x. I think this song is slowly killing me.
Someone needs to sing this song
Dec 8, 2009"Since nabla rot E is -dB/dt,a field can never change at once all that we see,
It takes some time, which gives us the v,And we guess that the truth is in there."
Visit the site for the rest of the lyrics :D. Now if only I can find a youtube version sometime soon ^_^
Bing does your math homework
Dec 5, 2009
Typing"x^2 + 2x + 1 = 27" into the search engine produced the two solutions above! Sweet.
You may ask why/how? What's behind this? The answer is... none other than... Wolfram|Alpha, and the recent deal they stuck with Microsoft.
Solving in Wolfram Alpha
Dec 2, 2009Solve 3x2+x-7=4x
The neat thing here is that not only will WolframAlpha solve the equation, but it will also show you the steps!! Although, throwing in absolute values is going to confuse some of the students, since a lot of them don't know that:
Counting By Ones Song
Dec 2, 2009
It doesn't take much to entertain me these days...The website called Have Fun Teaching has a song called "Counting by ones", where essentially they do exactly that. They count from 1 to 50 lol. It's rather catchy and supposed to be for kids, but so far I've listened to it multiple times!!
"Here we go sing it loud, we're counting by ones Try and keep up, we're having so much fun We're starting at one and counting all the way to fifty Now don't skip a number when you're singing with me
One, Two, Three, Four, Five Six, Seven, Eight, Nine, Ten Eleven, Twelve, Thirteen, Fourteen, Fifteen Sixteen, Seventeen, Eighteen, Nineteen, Twenty Twenty One, Twenty Two, Twenty Three, Twenty Four, Twenty Five Twenty Six, Twenty Seven, Twenty Eight, Twenty Nine, Thirty Thirty One, Thirty Two, Thirty Three, Thirty Four, Thirty Five Thirty Six, Thirty Seven, Thirty Eight, Thirty Nine, Fourty Forty One, Forty Two, Forty Three, Forty Four, Forty Five Forty Six, Forty Seven, Forty Eight, Forty Nine, Fifty"
A review of online whiteboard ScribLink
Nov 30, 2009I decided to try out a few different online sites to make the process easier. In this blog entry I'll be reviewing my experience with ScribLink. I also checked out a couple of others and may talk about them later ^_^.
ScribLink
Website: http://www.scriblink.com.

Pros:
- No advertisements! Definite pro. If you like the site and use it a lot, I suggest donating towards it.
- Can easily add formulas using LaTeX.
- Easy to use, simple interface, attractive looking.
- Can easily choose colors of the board and the pencil thingy.
- Very easy to invite others to the session. Just click on Get URL.
- Has the option to save the image and email it.
- VOIP and chat options.
- Scriblink team seems to be very open to suggestions about improving the service.
- Hard to erase. I would recommend the site make it so that "right click" on the mouse button acts as an eraser, and make the eraser a bit more powerful.
- I can't find any option to graph functions. There was another whiteboard website with this option (but I didn't like their interface). But inserting functions of lines, parabolas, trig, etc would be highly useful.
- It won't let me move formulas around after it's been
placed on the screen. Ideally, I'd like to move "objects" around on the
board.
Edit (Nov 30th, 2009): I love the color palette the site uses. You can also insert nicely written formulas and equations, which I didn't do above (see the x=x^2 stuff on the left panel which can be added and moved around as pointed out by Jordan - the double clicking did work, not sure how I missed that ^_^).
Happy face math - CHEAT SHEET
Nov 15, 2009
- 1st one is the inverse (ie, upside down)
- 2nd one is being squared (hence the square)
- 3rd one is being cubed (hence the cube)
- 4th one is supremum, but you read it as "soup", hence the soup :D
- 5th one is the partial differential operator, hence the "part of a face"
- 6th one is sine function, read as "sine", which rhymes with "sign", hence the sign
- 1st one is the "real part" of a number/function, hence, there is no imaginary part. For example, Re( a + bi ) = a. Thus, you remove the i's.
- 2nd one is imaginary part. Im( a + bi ) = b. In this case, you only keep the i's.
- 3rd one is the curl, hence the curly hair. :D
- 4th one is the gradient function, read as "grad", hence the smiley face looking like he just graduated from school. :D
- 5th one is the log function, hence the smiley face on a "log" (tree thingy)
Detexify
Nov 12, 2009The only problem I have with it right now, is that it's rather slow generating the possible matches. If it could be lightning fast then it would be wayyy better :D
Physics Games
Nov 10, 2009
So far, I've played Splitter, Superstacker, MagicPen 1 & 2, Top Figures, Insurgo, Demolition City 1 & 2, and 99 Bricks, among others. Of course the site didn't make all these games, but the companies who do, let webmasters host them on their own site with certain restrictions.
My favorite is Cuber which is created by King.com :-D
How to make a chart
Nov 7, 2009
A nice flow chart on how to pick a chart. Created by Andrew Abela. Though the English version of this chart was posted in 2006, he just recently uploaded the chart in some other languages (for example french). Au revoir.
Not From Concentrate [comic]
Nov 2, 2009There is some math related strips and the BEST ones are:

How to: organize your digital library of papers
Oct 29, 20091. 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.
3. Finally, a lot of people use papers: http://mekentosj.com/papers/
I haven't tried any of these though, so I wouldn't know which one to recommend. I personally just organize the PDF's by fields of research and name each one as the title of the paper. It helps having hard copies as well :D
Eyeball math game
Oct 28, 2009Check out "Not So Humble Pi" math comic
Oct 23, 2009
It's called Not So Humble Pi ... apparently the guy is going to be releasing a new batch of comics on November 1st, 2009, and will post one each day!Wolfram Alpha Homework Day
Oct 21, 2009
Guide to writing a math proof
Oct 21, 2009Written by Eugenia Cheng, who is at the University of Chicago.
In it you will find:
1 What does a proof look like?This is a very helpful resource and available freely on Eugenia's website (at least for now...)
2 Why is writing a proof hard?
3 What sort of things do we try and prove?
4 The general shape of a proof
5 What doesn't a proof look like?
6 Practicalities: how to think up a proof
7 Some more specific shapes of proofs
8 Proof by contradiction
9 Exercises: What is wrong with the following proofs"?
FailAds
Oct 20, 2009
You can visit their site for a collection of other epic fail ads, funny pictures of Engrish, pwned, Tshirts, signs, magazine ads, instructions, packaging and lots more.
Math Teachers at Play 17
Oct 18, 2009"There is plenty of humor, a few movies, some great activities and explorations, and lots of math in Math Teachers at Play 17. Hope you enjoy reading these as much as I did. Thanks to everyone who submitted posts or answered my requests to include their work."Go check it out NOW and enjoy all the links, there is a lot of them so it should keep you busy for quite some time.
A rabbi, a priest and an automorphism...
Oct 15, 2009
Check out more of Courtney Gibbons comic at brownsharpie.courtneygibbons.org
Advice about sex from mathies
Oct 13, 2009"What's the best way to pick up a mathematician?Yup yup. But in my experience, there isn't many mathematicians around me right now who fit the stereotype. At the previous university I was at, there was LOTS!
It depends on the mathematician. As you would expect, mathematicians vary across the full spectrum of personalities. The stereotypical mathematician is shy, so I wouldn't come on too strong. Buy him or her a drink (or a nice pen and pad of paper). Repeat until they've thawed enough and then simply listen. People like to talk, even if at first they resist, mathematician or not. You could go another direction with the shy and just start off with a little playful dirty talk. Keep it classy but make it sexy and be sure to exude confidence. Sex talk cleverly done via analogy always gets me, especially if she can keep up the wit with a straight face.
Math cheat sheets
Oct 5, 2009The first one is about algebra, it has 23 pages filled with formulas:
Algebra Notes
The next one is much shorter about algebra again (4 pages): Algebra Cheat Sheet.
For computer science formulas see Computer Science Cheat Sheets. (10 pages)
For Geometry you can look at the Geometry Fact Sheet.
The next one is: Astrophysics and more. This one has a bunch regarding calc, multivariable calculus cheat sheets, physics, quantum mechanics, optics, astrophysics, relativity, and more more more!! You can view / save as a jpg and print :D
For more physics / calc you can look at these ones:Physic and Calculus Cheat Sheets (zip files for easy download).
And finally some trig here: Trigonometry Cheat Sheet .
Math fails in history
Oct 3, 2009One interesting example of this is the Four Colour Theorem (that's right ya bunch of monkeys, I spelled colour with a U!!!)...
"The Four-Color Theorem (4CT) dates back to 1852, when it was first proposed as a conjecture. Francis Guthrie was trying to color the map of counties in England and observed that four colors were enough. Consequently, he proposed the 4CT. In 1879, Alfred Kempe provided a "proof" for the 4CT. A year later, Peter Tait proposed another proof for 4CT. Interestingly both proofs stood for 11 years before they were proved wrong. Percy Heawood disproved Kempe's proof in 1890, and Julius Petersen showed that Tait's proof was wrong a year later.Go check out the rest of his post NOW.
However, Kempe's and Tait's proofs, or attempts at a proof, were not fully futile. For instance, Heawood noticed that Kempe's proof can be adapted into a correct proof of a "Five-Color Theorem". There were several attempts at proving the 4CT before it was eventually proved in 1976. See this article by Robin Thomas for a historical perspective of the problem."
Hunch.com - a decision-making tool
Sep 10, 2009What is Hunch?
Hunch is a new way to help people make all kinds of decisions:
- Where should I go on vacation?
- What kind of phone is right for me?
- Which museum should I visit in Canada?
- What blogs should I read right now?
Results are based on the collective knowledge of Hunch's users. It asks you 10 questions to answer then gives you results. If you don't like the results, you can train Hunch to learn from its mistakes :-D
So the next time you are stumped on a tough decision, let Hunch decide for you!!
Spiked Math - The Prof Liked Xi
Sep 5, 2009
How to play STRIMKO
Sep 4, 2009
You can view the video here (and you can play the fun game at strimko.com).
Cool game - 20 questions - and how it works
Sep 2, 2009
Now for some math:
The game is often used as an example when teaching students about information theory. Mathematically, if each question is structured to eliminate half the objects, 20 questions will allow the questioner to distinguish between 2^20 or 1,048,576 objects. Thus, the best strategy for 20 Questions is to ask questions that will split the field of remaining possibilities roughly in half each time. This process is analogous to a binary search algorithm in computer science.
My favorite math blogs
Sep 1, 2009Top 10 list of geeky math comics / webcomics
Aug 31, 20091. Foxtrot - Surely, everyone knows this one. It occasionally has a lot of math humor but is currently on a Sunday only publication schedule.
2. xkcd - Updated every Mon, Wed, Fri, and a very popular webcomic online.
3. Abstruse Goose - Funny webcomic updated regularly, but often physics related as well.
4. Spiked Math - New daily webcomic in color (this should be on the top of the list since I created it ;-))
6. Brown Sharpie - Updated every Mon, Wed, Fri, and can be quite humorous.
7. Brightly Wound - Often contains physics and astronomy as well.
8. twisted pencil - Usually updated Tue/Thu and contains lots of puppets.
9. mathTICS - Usually has some pretty funny strips. Not sure if the author is as active right now and the archive only has the first 100 strips.
10. Indexed - Interesting concept. Mostly consists of venn diagrams and graphs.
Cool Math Games
Aug 28, 20091. 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/
Want an academic math job?
Aug 23, 2009There is a lot of articles out there written to help people get jobs and survive interviews, but this article is specific for math majors wanting to go into academics. It includes questions you should expect at an interview, questions you should ask, what to do after the interview, and how to prepare for it.
"I do recommend that, in pretty much all situations, you ask for a higher salary during job offer negotiations ... My reasons for suggesting this are two-fold: ... Most faculty do not get paid enough, partly because Deans and Provosts are supposed to keep salaries as low as possible. Asking for higher salaries upon being hired helps "fight the good fight" in terms of letting administrators know that we should all be paid more. But the main reason to ask for more money is that this could be the ONLY chance you'll have to significantly increase your salary for a good, long time. Most schools have very rigid policies for salary raises ... and thus you might not see another significant raise until you get tenure or promotion."
So if you are looking for an academic job in mathematics, I highly recommend checking out his site for some tips.

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
Educational games - Planarity.net
Aug 12, 2009
Another 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.Introducing... Wolfram Alpha
Aug 5, 2009
In all fairness it's actually pretty sophisticated tool that can tell you all sorts of information about science, math, technology, geography, weather, cooking, business, stocks, travel, music, and much much more. It uses built-in models of fields of knowledge, complete with data and algorithms.



Subscribe!