Math in Art

Art is math and math is art. When you make something that is visually stimulating you have created art. There are many forms of art that show math. For example, the art of origami, kailidoscopes, tangrams,dimentions, etc. The list could go on forever. we would not have any art if there were no such thing as math.

Origami is the art of folding paper. With instruction anybody can make something out of a square shaped peice of paper. We follow the instructions by folding a piece of paper in semetrical ways. The first fold you usually have to do for origami is folding the paper in half. Origami is a very good example of the usage of math in art because it involves more thinking and mathematical use.

Kailidoscopes are fun for all ages.they work by three long, thin mirrors melded together into the shape of a triangle. Then because they are facing eachother they reflect many versions of the same picture in all different ways. Often kailidoscopes are found premade with something to look at. They put beads or shapes inside a clear container so that when you turn it, you create different shapes.

A tangram is an anchient Chinese puzzle. There are seven shapes cut out from at square. These shapes are moved to create a silouette of of a figure. The person doing the puzzle tries to move the shapes to create it. It is a very hard game but it's fun. It is all about using math to create shapes.

Dimensions are another commonly created form of art and math. They are also used in both often. By calculating lengths and distances you can create shapes on a two dimensional peice of paper that give the illusion of popping out and being 3D.

Art is everywhere. Math is also everywhere you look. The influence math has on art is amazing and fun.



http://www.mathartfun.com/shopsite_sc/store/html/

Timeline

30000 BC People in Central Europe recorded numbers on bones.

1 AD The modern day notation for fractions was first used

628 0 was first used.

400 Negative numbers were first recognized.

1202 Fibonacci numbers were first told to the world

1361 decimal notation for numbers less than one was first used.

1489 The modern day notations for addition and subtraction were first used.

1557 The equal sign was first used.

1594 Letters were first used to stand for variables or unknowns.

1631 The modern day notations for multiplication was used.

1654 The modern day infinity symbol was first used.

1656 Huygens makes the first pengulem clock.
http://www-groups.dcs.st-and.ac.uk/~history/Chronology/index.html

Good Ole Johny

Once upon a day in the dirty south, lived a man named Johny Whiteman. He was very popular in his area for his strong confederate beliefs. Well, one day our Johny was watching QVC, and for those who don't know this is a shopping network. Well they were featuring some amazing hunting guns for only 15.99 and they came with an extra pack of bullets if you called right then, and wait, another set of bullets. Johny was so very excited and took out his credit card. He called QVC and said "Id lyke to plyce an orderr plyse." He gave them the number of the gun. They asked him for the number on his credit card. this number was 5200-0022-0135-693-0 the exploration date was 10-04. They also required his adress. His address was: 123 Hick Rd. keesler MS 39534-2205. For security purposes they also asked for his social security number. this was 428-88-0214. Then they told him he will be identified by his soundex code number which was W-355. Johny hadn't been this happy since his daddy handed him down the family business, farming. Over joised he hung up and ran to his wife Thelma's room to tell her. She was busy sowing up some patches in Johny's good old overalls.

Two months and three days later Johny recieved a gun in the mail. The gun was fake! and the bullets were rubber! Johny was pissed so he got in his car to go to the "place with books" so that he could find out what kind of law these people broke. Since he was in such a angered state, he drove 13 miles over the speed limit. Unfortunatly the local sherriff didn't find his situation to be nearly as important as Johny thought it was. The officer asked for his VIN. It was JT3AL932J20419. The sherriff then handed him a ticket and left. When Johny got to the "place with books" he went searching for a book on the laws. He got distracted when he saw the book "Good Will Humping" and checked the ISBN on the back so that he could find the book again on the internet. The number was 0-87220-633-5. Then he forgot about the law book all together and decided that he can't wait to buy this book. There were even pictures. So he went up to the cashier and handed them the book. The book scanned 8 2796-90753-2 6 and the price came up at 2.99. Johny grabbed his wallet from his trousers and handed him the money. Then deciding he was hungry.

He wanted a chilly dog very much but decided he's on a diet and was going to get a fruit. When he went to the store he looked at all the fruits and noticed that there were different numbers on each fruit. He remembered when he had worked at another market years and years ago that banana's a 4011 and no matter where you go regular banana's have that number. Every fruit and vegitable has certain numbers. The other thing that he remembered which never concerned him was that the organic fruits have a 9 in front of them. So an organic banana's number is 94011.

Johny went home a happy man.

Elena Lucrezia Cornaro Piscopia

Elena Lucrezia Cornaro Piscopia was born June 5, 1646 in Venice Italy and died July 26, 1684. Elena was a privileged child. She learned many languages at a young age. Latin, Greek, Hebrew, Spanish, French, and Arabic. She was most into philosophy and theology. Also studying math, sciences, grammar, music, astronomy, and languages. She was an amazing person who accomplished a lot in her short life. Her contributions to math and Theology will not be forgotten.

At age seventeen she became skilled in the harpsichord, the clavichord, the harp, and the violin. She loved teaching playing music. She also enjoyed teaching Theology.

Elena was sent by her father, Giovanni Baptista Cornaro, to The University of Padua to better her skills. She didn’t desire a degree but her father insisted. So she got a doctrine in Theology. Unfortunately because she was a woman she was unable to obtain the title, Doctor of Theology. The Roman Catholic Church would not allow it. After many years and a lot of work, by the age of thirty-two she became the first woman in the world to receive a doctorate. She received this doctorate in philosophy. This leaving a mark in history.

In 1678 Elena piscopia became a mathematics lecturer at the University of Padua. She made writings that were published in Parma, Italy after her death in 1688. She devoted her life to charity. Elena spent the last seven years of her life learning and ministering to the poor. she died at a the age of thirty-eight. She is thought to have died of tuberculosis.

Her amazing impact upon the University of Padua did not go un noticed. They made a statue of her as a memorial of all she has done for the college. Also at Vassar College in the United States is a stained glass window of her defending herself at the Cathedral of Padua.
http://www.agnesscott.edu/lriddle/women/piscopia.htm

The Golden Mean

The dictionary defines the golden mean as, “the proportional relation between two divisions of line or two dimension of a plane figure such that short : long :: long : (short + long)” Many things show the golden mean. for example, the human body, many animals, flags, poems, works of art, etc. It is the division of objects with the pattern: AB/CB = AD/ED = DB/DG = DB/FB = 1.61803.

When finding the golden ratio on the human body there are many parts that represent it. From the top of the head to the middle of the chest, and from the middle of the chest to the belly button. That is one example. You would measure those on your body and dived the smaller one by the larger, and the closer the number to 1.61803 the closer your body type is to the golden mean. Another golden mean is from the corners of your lips and the corners of the bottom of your nose.

The golden mean has had many different names over the years of it’s known existence. It was called Extreme and Mean Ratio in 300 BC by Euclid's. In 900 BC it was called Middle and Two Ends in Arab. Paciolo called it the Divine Proportion in 1509. The Golden Section in 1500 by DaVinci. And in 1900 Phi. The name Phi is derived from the Greek word. It has had a long history of names. Mathematicians call it Phi to the day. They call the Fibonacci spiral the Golden Spiral.

The golden mean is still being found in math and physics today. It is always there, we just have to find it. It is in our Universe. The distances between planets have special means. There is a lot of history behind the golden mean, starting in 50 BC and progressing greatly over the years. We are still learning about this mean today and I’m sure we don’t know it all yet.

Who was I?

I lived from 1170-1250. Born to the name Leonardo Pisano in Italy, but known as another name. I was educated in North Africa because his father worked there. I was taught math in a place called Bugia. My father traveled a lot and everywhere he went he saw advances in mathematics. In 1200 I stopped traveling around and went back to my birth place of Pisa Italy.

During my travels, I was recorded having said, “When my father, who had been appointed by his country as public notary in the customs at Bugia acting for the Pisan merchants going there, was in charge, he summoned me to him while I was still a child, and having an eye to usefulness and future convenience, desired me to stay there and receive instruction in the school of accounting. There, when I had been introduced to the art of the Indians’ nine symbols through remarkable teaching, knowledge ot the art very soon pleased me above all else and I came to understand it, for whatever was studied by the art in Egypt, Syria, Greece, Sicily and Provence, in all its various forms.”

I wrote many very important books. At the time books had to be hand written. Not all of them are known because their were less copies and it was much easier to loose them. The known books are Liber abaci (1202) was based on arithmetic and algebra, Practica geometriae (1220) Related to merchants, Flos (1225) introduced my kind of numbers, and Liber quadratorum (1225).

My numbers are everywhere. They look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... You can see my numbers in many things. For example with rabbits. there is a pair of rabbits, in 1 month they make a pair of babies in the next month the original pair makes another pair while the one from the month before grows. This will start to create a chart. The bunnies produce in my numbers. This sequence is also found in spiral shaped things. It can also be seen in the growth of flowers. The way the leaves branch is often in my kind of way.

During his time, I was unknown for his math skills. It was not until three hundred years later that his works were found and appreciated. I am now very well known by mathematicians. Even people who don’t know anything about math see my numbers all the time. It seems as though there is a pattern to the world. We just figure out bits and pieces of it.

Sites I like

Click here to e-mail me
Here's my fun web page
This is a funny page!

CLOUDS

shaped sort of odd

you can see them way up high

floating from above.

If you get too close

they will disapear from sight

with their ghostly shape.

Created by god

or some power from above

we can never touch.

heres a flower

Perfect Numbers

The dictionary defines a perfect number as "a positive integer that is equal to the sum of its positive integral factors, including 1 but excluding itself." This means that one needs to find the numbers that multiply to become this perfect number. Add those numbers together, including zero and not including the actual number. The sum of those numbers will be the same as the original. This only works if the original is a perfect number.

The Greeks were the first ones to think of perfect numbers. They would figure out by hand which numbers were and were not perfect. They came up with four numbers. These numbers are: 6, 28, 496 and 8128. An example of how to figure out a perfect number is easily extinguishable with the number six. 2 x 3 =6 and 1 x 6 = 6. We know to drop the 6 because it is the number we are using. Giving us the numbers 1, 2, 3. If we add these numbers together the result is 6. The theorem used to find perfect numbers is: if 2^(k-1) is prime, then 2^(k-1) x (2^k-1) is perfect and every even perfect  number has this form.

Perfect numbers are very interesting because no one would expect that the pattern would work more then once. The technology of today has made it much easier to find perfect numbers. First we had calculators, now we have computers. There is a program that can figure out really high perfect numbers. Today you can get paid if you come up with another perfect number. This is because so many have already been found. The last largest number found was found by a non-mathamatition. It was by accident also. This made the mathamatitions mad. I’m sure somebody is out there still searching for that number. As far as we know all perfect numbers end in either a 6 or an 8. There is no recognized pattern yet because we can’t know all the perfect numbers. They are infinant. As far as we have seen every number ended in 6 or 8 but we don’t know how anything about the numbers we can’t find. We can’t find them because our technology is much less advanced then it would have to be in order to find all the numbers.

Perfect numbers are found everywhere. The early Christians and Jewish people found perfect numbers to be very important. According to the Christians, the world was created in 6 days. Also the moon circles the Earth every 28 days. This is gave religious people the belief that god created perfect numbers.