## Welcome!

If you are out and about and find an example of real life math,
take a picture or find a link and send it to me at jswope@phil-mont.com
with a short description.

## Friday, November 5, 2010

### Real Life can be Eye Opening

Marcela wrote:

"I chose this because when i was still in Colombia the earthquake was the new of the month.
Because of the devastation of the earthquake they have now a cholera epidemic. After all the dead they have again many interesting numbers.  first they give us a number. in the beginning there was 1,978 people hospitalize and the number increase to 1,6742 .  second the statistic for people getting sick increase 41% and the dead toll has increase 31%."

### Math at the Movies

Hannah went to the movies and found the following real-life application:

The first picture is prices for tickets, the second is for popcorn prices.

If a people buy tickets for a 3-D matinee showing of a movie they pay \$12.50 each. If people buy b large bags of popcorn they pay \$8.00 for each. An equation for if some people got popcorn and a 3-D matinee would be 12.50a+ 8b= total price.

I forgot to ask her what movie she saw!

## Friday, August 13, 2010

### Solving Systems of Equations

Here is a lesson plan I created on solving systems of equations. It uses basketball stats and folk tales!

Solving Systems of Equations

### Tessellations

Why does Miles get to do all the blogging?  My name is Trixie and I am Miles' little sister.  I love to go for walks and chase bunny rabbits and butterflies.

All of this talk about M.C. Escher inspired me to attempt a complex tessellation piece, so for your viewing pleasure, I present:

Bunny Rabbits 2010

What do you think?

### M.C. Escher

I don't love writing papers, so when I found out that I would have to write a ten page paper for my history of math class I was less than excited. The only way to make the project more palatable was to write about something that I enjoy and want to learn even more about, which is why I chose the visual artist M.C. Escher.  I was aware of his use of tessellations to create amazing images, but that was the extent of my knowledge.

While writing my paper I learned that M.C. Escher's work was a lot more complex than I had ever imagined.  He used concepts such as infinity, the mobius strip, the Penrose Triangle, impossible objects, hyperbolic geometry and inversion of a circle to create pieces of art that were so much more complex than his initial division of a plane works.  It gave me a knew appreciation for his visual art, but I still don't like writing papers!

You can read my paper here:
M.C. Escher

## Thursday, July 29, 2010

### Poetic Math

What does that have to do with math? Well, let's see!

Haiku is a form of Japanese poetry that consists of three phrases. The first phrase contains five syllables, the second phrase contains seven syllables, and the third contains five syllables. That makes a total of seventeen syllables. The phrases do not have to rhyme.

I wrote my first haiku and it goes like this:

My name is Miles.
I like to solve math problems.
I am a good boy.

Not bad if I do say so myself.

Have you ever written a haiku? If so, send it to me and I will post it.

## Wednesday, July 28, 2010

### It's Getting Hot in Here!

It's been over 90 degrees every day this week so Miles decides that he wants to take a swim. What does this have to do with math? Well, lets see!

Step 1
Miles gets out his doggy pool and measures the diameter. He finds that it is 35 inches across.

Step 2
Miles fills the pool with water.

Step 3
Make sure the water doesn't overflow! Boy, it sure is hot out here!
Step 4
Miles measures the water depth and finds out it is 4 inches deep.

Step 5
Miles calculates the volume of water in the pool.

He knows that the pool is a cylinder because it’s base is a circle with a diameter of 35 inches and it has a height of 4 inches. The pool's radius will be half of the diameter, which makes it 17.5 inches. In grad school he learned that the formula for calculating the volume of a cylinder is V=3.14*r^2*h.

So he fills in what he knows and solves for the unknown, which is volume.

V=(3.14)(17.5in)^2(4in) so the volume of the water in the pool is 3,846.5 in^3.

Good boy, Miles!

Step 6
Nothing left to do but invite some lovely ladies and go for a swim!

Miles is such a show-off!

### Conic Sections

Here is Miles. He was a bad dog today, so he had to wear a dunce cap. His dunce cap is a cone.

Can you think of cones that you see in your everyday life?

Cones are conic sections. A conic section is a curve that is made when a plane intersects a cone. Other conic sections are circles, ellipses, hyperbola, and parabolas. You will learn more about them in geometry.

### I Ching

I Ching is an early Chinese texts. While we do not know the exact date it was written, we do know it was created before Christ. It contains a lot of mathematical information using trigrams and hexagrams. Information from the I Ching is still used today. For example, four trigrams from the I Ching are used in the South Korean flag to represent heaven, earth, fire and water.

I Ching was used by the composer John Cage for composing twentieth century music. John Cage is best known for being a composer of aleatoric music; a style of music created when some elements are left to chance. When he was introduced to the I Ching in 1951 he became fascinated with its ability to create order out of chance. He used the coin method to compose “Music of Changes,” a piece for solo piano. He composed by creating a sound chart made of 64 squares. He would reference the I Ching as to which sound to use from the sound chart and then for determining other details such as the dynamics, duration and silence of the sounds. Silence was frequently employed in Cage’s compositions, as he was very interested in the “interchangeability of sound and silence.”

Did you enjoy listening to this piece of music?

### Are You Mathematically Beautiful?

It has been proposed that if the dimensions of your face coincide with the golden ratio, Phi, than you will be beautiful. The Marquardt mask is based on phi, pentagons and dedecagons. The mask can work for women of any ethnicity and from any time period. It even works on men!

### Phi - The Beautiful Number

Have you heard of Phi? It is often called the golden ratio or the golden rectangle and is equal to approximately 1.618. It is used in architecture, such as the Parthenon, and you frequently see it in nature. A grad school classmate is studying the use of phi in music and has found that it occurs in "Under the Sea" from Disney's The Little Mermaid. Music is often composed so that the climax mathematically fits the golden ratio. If you listen carefully you'll hear it occur right when the blowfish blows!

## Saturday, July 24, 2010

### Math and the Environment

Chris Jordan is an environmental visual artist. He creates images in PhotoShop that represent social justice issues.

This reproduction of Seurat's La Grande Jatte depicts the 106,000 aluminum cans that Americans dispose of every 30 seconds.

How many cans would that be in one year?

Environmental Math Lesson Plan

Chris Jordan's Website

### Frank Lloyd Wright

Frank Lloyd Wright was an architect who strived to create a natural aesthetic in his work. His organic designs feature large flowing interiors and low horizontal lines. This photo is of Fallingwater, which is located in Pennsylvania.

Can you see math in his design?

Have you ever visited Fallingwater?

Fallingwater website

### M.C. Escher

I'm writing a paper on M.C. Escher for my History of Math grad school class. He uses complex mathematical concepts in many of his works. This is my favorite because the salamanders are tessellations that appear to come to life and climb right off of the page.

Can you think of any works of art that show mathematical concepts?

M.C. Escher Official Website