Research examples of where and how mathematics and the arts can be found in the real world together. Post a brief description of one example below by 8PM on January 30, 2011.  Your wiki contribution must be original (only one wiki post topic per student allowed) and will include the following:

 

          a) title

          b) your name  

          c) link to source or bibliographic reference

          d) images and/or media to support your example 

 

 

Evaluation Rubric

 

	Expectations Met
Level 1	Student successfully posts a wiki describing one example of mathematics in the arts (approximate length of 200 words).
Level 2	The post includes a link or reference to the source where the example described was found.
Level 3	Student describes how their wiki post is related to one or more topics covered in the course (Number Sense, Proportional Reasoning, Measurement, Plane Geometry, Linear Relationships, or Analytic Geometry).
Level 4	The wiki entry meets all expectations and is both original and creative, free of writing errors (spelling, grammar), and follows conventions in math.

 

 

 

 

 

 

If you are wondering how to log in, you should have received an email from pbworks.com

Open it and click the link to set up a user ID.

 

You have to upload images separately. Copy and paste your text and then follow these instructions to upload images.

 

1. Save the image you want to your computer

2. Go to the wiki and click edit. On the right side you will see a menu  that says insert links. Click images and files.

3. Click Upload Files.

3. Find your picture and click Open.

4. It should now appear in the list below. Click on it and it will be inserted into your wiki!

   

If you have problems, please email me at blairfix@gmail.com.

 

 

Post Wikis Here: 

 

 

 

Acting and math

Acting and math can go two ways. They either can have nothing to do with each other or have a lot to do with each other.

 

Math and acting have nothing to do with each other because... well, you’re acting.  When you’re acting, you’re walking a mile in someone else’s shoes, dealing with situations the way that that character would deal with them.  You’re research is more focused on studying and memorizing the way that that type of person would be think and really trying to get inside their head.

 

Math and acting can a lot to do with each other.  They can go together when you are playing a character role with a very strong academic background; you have many lines you know have, how many people are in the crew and how much money you have.  As said before acting is pretending to be someone else.  If the person you are playing has a strong academic background you have to at least know the basics of math, if not more, that way you will be able to play that character to the best of your abilities.

 

You have to know how many and how long your lines are. This is so you can predict on how long you should be studying and memorizing them (different people usually take long or shorter periods of time to practice their lines).

 

You have to know the amount of people working on stage crew because it’s just a polite thing to do. 

 

You have to be able to count and manage your money because you are not going to be rich for long if you get someone else manage it for you.  If you can, and do manage your own money then you become more conscious of you’re spending.

 

So in conclusion acting and math go both ways, they either have a lot to do with each other, or nothing at all.

 

References

http://afronord.tripod.com/biomax/space.html http://wiki.answers.com/Q/What_math_skills_are_required_for_acting

By: Maleeka Black

 

 

Wiki Assignment- Art and Mathematics

By Kameron Koster

Mathematics and the arts have had a long historical history together. The relationship between the two dates back to the ancient Egyptians and the ancient Greeks.

 The Egyptians and The Greeks knew about what is called the ‘Golden Ratio’. Which means if the ratio of the sum of the quantities (amount) to the larger quantity (larger amount) is equal to the ratio of the larger quantity to the smaller one.

 

 Both the Ancient Greeks and the Ancient Egyptian used this theory to help them accurately create famous monuments which are still here today such as the Great Pyramid (located in Egypt) and the Parthenon (located in Greece).

 

The golden ratio was both used in the making of both ancient temples as well as many others around the two countries. The evidence of the theory is still visible today through looking at the floor plans of the buildings, as well as measuring the dimensions and the height of the buildings.

 

Mathematics was also incorporated when the ancient Greeks had had created statues based on the ideal humans. They used mathematical proportions in order to accurately carve the statue of the ideal human using exact measurements and angles of the object.

 

Mathematics and Art are still very much used in the creation of buildings (Architecture) and the creation of statues in modern time.

 

 

 

Visual Arts & Math 

Elisa Chiocca D'Alfonso 

 

Visual arts uses math for many things. When we do visual arts we think of measurements even if we do not realize it. We think of the length and width of the things we draw, paint or create. For example, when we draw a portrait, we think of the size of the head, the length and width of the eyes, nose and lips. All this has to do with measurements and calculations. The proportions of the face or in nature the proportions of a flower to a tree need math. Without thinking math and calculating, we would not be able to draw accurately and realistically. 

 

Same thing with sculpting. If we did not know how to measure, we would not be able to create a realistic statue of a person. We would not know how long to make the arms, or legs, and we would not know how wide to make the shoulders. 

Math is very important when it comes to visual art.

 

Elisa Chiocca D'Alfonso

 

http://www.ams.org/samplings/feature-column/fcarc-art2

 

Photography and Math

Adrian

 

In relation to Math with Art, Photography is a concept most commonly unthought of, but a lot of it has to do with math. Things like the shutter speed, talked about here, and the f-stops, the aperture, etc., are all concepts part of
Photography that use math as a way to work. The camera shutter is like a door which opens to let light in. Shutter
speeds are the time the door / shutter stays open. Usual shutter speeds in seconds are 1/1000, 1/500, 1/250, 1/125, 1/60, 1/30, 1/15, 1/8, 1/4, 1/2 and 1. Most cameras also have a B (Bulb) setting where the shutter stays open until you release the button. The most common shutter speed is 1/125 second which is a tiny part of one second. When taking pictures of the night sky, though, photographers usually use shutter speeds of several seconds, minutes, even hours. Shutter speed dials commonly use only the denominator instead of the entire fraction. Hence, 1,000 on a shutter speed dial means 1/1000 of a second. The shutter speeds form a geometric sequence. In moving from 1/1000 second towards 1 second, each increase in shutter speed increases the time and the amount of light hitting the film by a factor of 2. The most common ratio is therefore, 2. And that is how Photography relates to Math. 

 

 

Math and Art in Architecture

Madison Strizic

 

Architecture is technically considered an art form, but other decided that it’s how you perceive the space or building. Not all buildings are architecture - some deal with economics and other stuff, but they are not works of architecture.

Architecture is an art. It’s a kind of art that combines maths and sciences. Every angle and round has to be perfected with math so that the building doesn’t collapse with a mass of people inside of it.

Buildings were originally just for the basics (shelter, security from the elements, worship, ect.) but as people’s knowledge started evolving, and they started building more and more, it became a craft. And that craft became more and more complex, levels were added and basic maths were used to make sure things didn’t collapse. If you look at early vernacular houses, they used triangles because they are one of the most stable shapes out there, because each of the three sides shares the weight, and it’s hard for the shape to fall into itself. Also if you look under the modern day bridge, the things that keep it stable are triangles. This is math, because shapes are math. Also when you are creating buildings, you have to make small-scale models of the building using ratios. To be an architect you need lots of math skills obviously, as well as lots of creativity. This is a way art and maths are used together.  

 

 

Dance vs. Math  by Mallory Mahoney

 

     Dance and math are very different things most of the time. However they have one thing in common, numbers. Numbers are a very important aspect in both. Without numbers in math you would never have any answers and in dance without numbers you would never have any counts. Counts keep everyone on time in a dance or even in a simple exercise. In math it’s all about finding the answer, the answer is always a number. Ex. 1+2=3 (in math) ex. 5,6,7,8,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8....

In dance you need counts to hold everything together. Without counts choreographing a dance with many people to all be doing the same thing at the same time, would be absolutely impossible. In math, finding the answer to a problem is just impossible to even think of.

   Another thing that relates to dance is, the steps themselves. You can explain how you can do the steps by using angles. For example, in a grande batment (high throw of the leg) you can either use a height of 45 degrees or 90 degrees or 100 degrees or 120 degrees if you’re really that flexible.  In other steps you can use numbers to explain the amount of times you would do the step. Angles are also used to describe “positions of the body”.

 As you can see math and dance share common similarities. Without math, dance would not exist the way we know it today.

 

The following website explains dance timing: http://www.streetswing.com/timpge1.htm

 

 

Math & Architecture.

By Pavlo Athanasoulas

 

Math has been used for centuries in architecture to build beautiful structures. The Parthenon, acropolis is a good example of a mathematical approach to art. Pythagorean and many other geometrical theories are used to give this structure its beautiful proportions. It is considered to be a perfectly balanced structure even after all these years. The acropolis has 47 Doric columns. Mathematical calculations are used to make each one a slightly different height. The straight columns look almost concave or curving. The Parthenon is considered classical art. An early influence on mathematics was Pythagoras, a scholar who lived around 500 B.C. He had a secret society of followers called the Pythagoreans. Together they found the gold ratio, which has been used as a guide in architecture. Architects used this ratio to design the acropolis in Athens, Greece. The ancient Greeks confirmed that straight lines give the impression of descending curves under the light of the sun. The pillars which have a slight inclination towards the internal part of the temple and   their entablature step on the horizontal, slightly curved lines support the building. The Pythagoreans have been given credit for discovering the Pythagorean Theorem. It states that a right angle triangle, the square of hypotenuse is equal to the sum of its two other sides. A2+B2=C2    This mathematical equation is still well know and used to this day.

 

 

Mathematics in music by: Antons Stirajs

     Mathematics and music are very intertwined. Music is a very important part of my life and I know that math helps you play music in quite a few ways. I’ll start with the genre of music called “math rock”. Math rock is a genre of music characterized by complex rhythms and difficult guitar riffs. Being skilled at patterning will surely aid you in playing math rock. You need to know exactly what you are doing beforehand and count through songs. The patterns and rhythms are greatly aided by mathematics.

     To play a piece of music you need to know: how many beats per bar, how many bars, how many notes in that beat and so forth. There is a relationship between every note and knowing how those notes relate to each other is how songs are made. Each note emits a different wave which is represented in hertz. All of these notes sound different and you can find these differences by showing the number of waves per second for each note. In this way notes can be shown with numbers. The ratios between these numbers means you could find out notes by comparing them to others. You can also compare notes by using fractions. Eg. What is a note at 225 hertz halved?

     Most musicians would not talk about music in this way but that doesn’t mean that the statements are untrue. Music has many other relations to math but I am already over 200 words.      

 

References: http://cnx.org/content/m11808/latest/  

 

 

Math & Film

Aidan McMahon  

 

  For my wiki I decided to compare film editing to math. Math applies to film editing in many ways, the way People use timed frames to correspond with a general amounted time uses basic math. More advanced math is used with the software in which people edit there films.

            When people are editing there films the usually have an appointed time in which the film should start and end, there are many mathematical problems to solve to have a finished project in that time frame. First there are many variables to consider mainly having a fluid begging middle and end in this certain time, you need to use math to establish when the shots begin, end and where they come in. This uses basic math adding and subtracting. Second you need to hit curtain points in the story a dilemma a climax and a conclusion and more, this requires division to find the certain point in which it would fit best and make the most fluidity.

            The more advanced math used in editing is the software used to edit films. When editing a film there are many different stages of touchups, there’s sound dubbing, colour correct and basic editing. Dubbing requires advanced recording and sound editing software made with mathematical algorithms and variables. Colour correct use more advanced software to change pixel colours within a image using extremely advanced math. Lastly basic editing software is made completely on math, this lets you change image and file size and shot length and speed. All the aspects of editing I have just wrote about requires the mathematics that runs computer software and more.

 

Math in Visual Art  by Kijika

(Painting, sculpting, architecture, etc…)

 

            One of the biggest applications of math in visual art is the “Golden Ratio”.

The Golden Ratio is 1:1.6180339887. This number was formally put into text by Pythagoras, but is said to be invented/discovered by the Ancient Egyptians. They believe this could be true because there is evidence of the golden ratio in Egyptian architecture and sculpting. As we know the Greeks took a lot from the Egyptians so it is thought that the Egyptians thought of this theory first. These cultures commonly used this theory in visual art, for it was thought to be aesthetically pleasing and attractive. The ideal of a beautiful face was one where the golden ratio applied. This is still thought by some people today. In a lot of paintings (mainly portraits) the golden ratio is applied to people and faces. The golden ratio even applied to book designs and still does.