A Mathematical Model of Me
Overview:
This project is all about the question "Who are you?" Each one of us is different in our own way, and we used this project to translate mathematically who we are. We used mathematics to create a representation of a picture that we found meaningful to us personally. We re-created this image by translating it into a set of line segments. We did this by using a software called Geogebra. This project not only just allowed us to represent "who we are" but also allowed us to review/learn graphing and plotting with y-axis and x-axis coordinates. The essential questions for this project are:
1. What is a mathematical model?
2. How can complex imagery be modeled mathematically?
3. How can productivity software be used for graphing?
The answer for what is a mathematical model, is simply a model using mathematical language and displaying/representing a model with math. Complex imagery can be modeled mathematically by using something such as geogrebra to break down each straight line of the image and turn them into line segments. Pretty much any picture can be turned into line segments, and then graphed. This is done on productivity software's such as Geogebra by plugging in the coordinates.
1. What is a mathematical model?
2. How can complex imagery be modeled mathematically?
3. How can productivity software be used for graphing?
The answer for what is a mathematical model, is simply a model using mathematical language and displaying/representing a model with math. Complex imagery can be modeled mathematically by using something such as geogrebra to break down each straight line of the image and turn them into line segments. Pretty much any picture can be turned into line segments, and then graphed. This is done on productivity software's such as Geogebra by plugging in the coordinates.
Steps took to create final image
The first thing I did, was pick an image. I decided to pick an image of a dog because dogs are very important to me. This is because I have a dog named lucky, he is always there for me and is always willing to listen whenever I just need to talk. This may sound silly, but my dog is a big part of my life. I love my dog to pieces and so I consider him one of my family members. The picture that I re-created mathematically however, is not my dog. This is because my dog is too fury, and so It would be terribly hard to create all of his fur into line segments. The original picture that I chose is this:
This is Benchmark #1
After I chose my image, the first thing I did after I printed it out was go over all the lines in the dogs face with a sharpie, making all of the line segments straight. After this I taped the picture to a window with another paper, and started to trace all of the straight line segments onto graph paper. After I was done with this, I created a x and y-axis and a scale for my picture as well. My scale I decided, was to go by 5's.
This is Benchmark #2
This is Benchmark #2
After this, I then determined what the coordinates for each point was. I think this is what took the longest for me out of the whole project. This is because it was very tedious, having to see what the x value and y value for each little point was. However, after I finished determining this, I started to create my picture on Geogebra. Before this project I have never used Geogebra before, and so it took some time getting used to this foreign software. I learned that that to plot your points on this software you must first click view, then spreadsheet. After I typed all the coordinates in on the spreadsheet, I then clicked create polyline. At first I made the mistake of plotting everything together, then I realized I have to do each part of the dog separately in order to make the image look accurate. By separately I mean for ex. that I must do the eye, then the other eye, then the ear, then the nose, etc.
This is Benchmark #3
This is Benchmark #3
The picture above, is the revised version of my Benchmark #3. In first version of it, the face was very stretched out. This is because the aspect ratio of my image on Geogebra was not 1:1. After I made it as close to 1:1 as possible, the face was no longer stretched out. After I finished doing this and working on Benchmark #3, I started on benchmark #4 which was to create a creative piece for my image. I exported my image and them printed it. I glued it onto a canvas and painted a body for my creative piece.
This is my Benchmark #4
This is my Benchmark #4