Posted by: gupta2 | December 16, 2008

## Tasty Pi(e)

So the other day, one my friends took me to this great pie place about two blocks away from DeWolfe Street. The place is called Petsi Pies and it is awesome. The pie is great especially on a cold day. They have sweet pie, savory pies, and tons of other bakery treats. Here is the link to the google maps: Petsi Pies-Google Maps

The only drawback is that it can be pretty expensive about \$4 a slice but it is well worth the money. I personally recommend the Chocolate Pecan pie.

If you don’t want to buy pie or if you live in Quad, here is a recipe to make Pecan pie:

1 Cup White Corn Syrup
1 Cup Brown Sugar
1/3 Teaspoon Salt
1/3 Cup Melted Butter
1 Teaspoon Vanilla
3 Eggs
2 Cups Roasted Pecans

Preheat oven to 350. Put the butter in the microwave until it is completely melted. In a mixing bowl combine corn syrup, brown sugar, salt, butter and vanilla. In another bowl, slightly beat eggs and then add to pecan mixture. Roll out refrigerated pie dough to 1/8th thickness and approximately an inch in diameter larger than the pie tin. Pinch the pie edge to make a “wave” shape cutting off excess as you go. Put filling into unbaked pie shell and top with pecans. Bake in the oven for approximately 30 minutes. At this point, take the pie out and add strips of tin foil to the pie edge to keep it from burning. Place pie back in over for another 30-40 minutes. Test if pie is done by inserting a knife in the center of the pie. If it comes out clean, you are ready to remove the pie, otherwise give it an additional 10 minutes.

For those of you who don’t like to read, I found a YouTube video as well (Note: the video has a strange old lady and a weird sound track, but it seems like a legitimate recipe):

Enjoy the holidays!

Posted by: hrummel | December 16, 2008

here is a link to my reading project for the savage paper. I wasn’t able to get it as a pdf but if I do then I will repost it later. As of now, it’s in a microsoft word document.

Henrik Rummel

Posted by: jonglapa | December 15, 2008

## The Golden Ratio

I searched “symmetry in everyday life” on Google for symmetry in everyday life, and halfway down the page I saw something about the “Golden Ratio.”  I remember hearing about the Golden Ratio at some point either in a book (was it The Da Vinci Code?) or a math class (but I don’t know which one it would be), and I remember that it is present in several aspects of nature, but, until this, I’d never bothered looking up exactly what the Golden Ratio was.

Two numerical values, a and b, are said to have the golden ratio if the ratio between a+b over a, the larger value, is equivalent to a over b.  Mathematically:

(a+b)/a = a/b.  Evidently, appearances of the golden ratio abound from the pyramids of Egypt to the Mona Lisa to architecture from ancient Greece to Beethoven’s Fifth Symphony.  Here are some links I came across while looking at some areas in which the golden ratio shows up.

http://www.goldenratio.org/info/index.html#spaceandtime explains the golden ratio and the important link of the golden ratio to Fibonacci numbers

http://community.middlebury.edu/~harris/Humanities/TheGoldenMean.html gives the mathematical and geometrical derivation for the Golden Ratio and the work ancient Greeks did on it

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html#mozart shows some examples of Fibonacci numbers in the arts, architecture and music.

Posted by: anthonygenello | December 15, 2008

## The Golomb-Dickman Constant

In my statistics class this semester, we’ve learned about a few interesting results that relate well to Math 152. The class is Statistics 135: Statistical Computing Software. Permutations and prime factorization we covered in the context of computer simulation in the statistical programming language R. The questions that we were considering were twofold. First, we were interested in finding the mean of the distribution of the largest cycle of a random permutation on n symbols. Second we were interested in finding the largest prime factor of a random integer n. It turns out that the anwers to the two questions are the same after a logarithmic transformation. The solution as a fraction of n is called the Golomb-Dickman constant: approximately 0.624. The answer to the first question was discovered by Golomb while the answer to the second question was discovered by Dickman.

The formal Golomb definition is as follows: Let $a_n$ be the average; taken over all permutations of a set of size $n$; of the length of the longest cycle in each permutation.  In the limiting case we have:

$\lim_{n\to\infty} \frac{a_n}{n}$

The formal Dickman definition is as follows:  the Golomb–Dickman constant appears in connection with the average size of the largest prime factor of a number less than or equal to $n$. In summation notation we have:

$\lim_{n\to\infty} \frac1n \sum_{k=2}^n \frac{\log(p_k)}{\log(n)}$

where $p_k$ is the largest prime factor of $k$.

Posted by: rjgage | December 13, 2008

## Are you someone who likes to play math games? Check some of these out, no questions asked.

Hey math 152,

I started looking for a blog topic by googling “cool math games” and this is what the internet delivered to me:

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

This is exactly what is says, and it is amazing.  After reading  about group automorphisms of 3d Tic-Tac-Toe in Sandeep’s excellent report, I wanted to play the game.   I was initially very confused, but then got better with practice.  Try it out.

You can also play an interesting game called Pool Geometry 2, so you can procrastinate with trigonometry, because you’re cool like that.  Try also Number Twins, where you choose brightly colored balls labelled with congruence classes which are each other’s additive inverse in Z10 with an interesting twist which leads to several different strategies.

Finally, for the serious math gamer, try my own main method of procrastination: Peggle.  The game indulges your yearning for geometrical reasoning with the imperative to shoot a ball at pegs on a board so that it bounces around to hit the highest-point pegs scored by a subtly complex system of rules.  It also forces you to develop higher-level strategies in order to really maximize points across a whole game.

Have a fun Saturday night with your cool math games!

-Jack

Posted by: tejat | December 11, 2008

## Are Individual Rights Possible?

Check out my reading project to find out!

Posted by: danb | December 11, 2008

## The SET Game

Here is my Reading Project on the maximum number of cards needed to guarantee a SET.

Dan

Posted by: khuang01 | December 10, 2008

## A Magical Space of Squares

Hey Everyone,

You can read my Reading Project report on “Marriage, Magic and Solitaire” by David Leep and Gerry Myerson (1999) here.

Thanks,

Kevin

Posted by: sandeepchrao | December 9, 2008

My project summarized the article, “The Group of Automorphisms of the game of 3-dimensional tick tack toe” by Silver.

Here is the link to the pdf.

Enjoy,

Sandeep

Posted by: jbayley | December 8, 2008

## Maths Video

This video taught me everything I ever needed to know about Mathematics, and then some.  Personal highlights include the part about mathematicians theorizing about the existence of numbers larger than 45,000,000 and what MATHS actually stands for.  On somewhat serious note, an interesting point highlighted in the video is how convoluted and trivial the ‘real world’ word problems we all saw in middle school really were.