Math 1 |
with Dr. Drew |
MATHEMATICAL model of me
The first project we completed in this class was Mathematical Model of Me. Since it was the beginning of the year it was a "get to know you" project. Everyone chose a specific image that they felt represented them, then using a graphing software, GeoGebra, we created a mathematical model of the original image. A mathematical model is a description of a system using mathematical language. This project taught us how to use GeoGebra review basic algebraic terms, like line segment, point, coordinate plane, etc. Complex imagery can be modeled mathematically my taking complex, curvy, lines and simplifying them into straight line segments. It can make the image unrealistic because it makes makes straight lines where there is a natural curve but the more line segments you put, the easier it is to give it a curvy, detailed shape.
The first step was to select an image that represented you. I chose to do a picture of me diving. This is my original image.
The first step was to select an image that represented you. I chose to do a picture of me diving. This is my original image.
After I selected my image I cropped down the outside space so I took up more of the image. Then I printed it out.
The second step we took was tracing the outside lines in black sharpie. We made the lines more visible and bold from both side because the next step was to trace it, and it was easier to do this with bolder lines. When we traced the image onto another page, however we used a ruler so all the lines were straight. This is what it looks like.
The second step we took was tracing the outside lines in black sharpie. We made the lines more visible and bold from both side because the next step was to trace it, and it was easier to do this with bolder lines. When we traced the image onto another page, however we used a ruler so all the lines were straight. This is what it looks like.
The next step is when we started using Geogebra. We transferred each point in the picture into Geogebra. This was probably the most challenging part. It was very hard to make sure each point was in the exact same. It was very noticeable if it was not transferred correctly. The water splash was the hardest part to copy because there was so many little lines and detail. This is what my image looked like in Geogebra.
This is what my model looked liked once all the line segments were put into GeoGebra. Geogebra was formatted very different than any other software program we have used before. It involved a graphics view, which is were the image was made. The image was created using a set axis and grid but I hid that when I exported so you could see the image clearer. GeoGebra also included a spreadsheet where the points were inputted. To create a point you put the x point in the x column, then the y. Then you had to go to graph polyline, next you labeled your point or line segment, then apply then BAM! It now showed up on the graphics view and in the image. You could do this as many times as you wanted or as little. The more you did these steps, the easier it was to see the progress you've made and the shape your image was starting to take. I did this every 5-6 points I entered so I could As you can see there are some differences. I simplified the water line. Some critique I received was it was hard to tell where the water line was so I made it clear and simple. I really pushed myself. Some of the natural body line got changed through the process of transferring it but I made sure the legs looked as realistic as possible. I also did my best too keep all the detail in the splash. Once we completed making the image in GeoGebra we exported it, printed it, then finally we made it beautiful work. We had to embellish it, this involves painting, coloring, colage, and using different elements. This is what my final Mathematical Model of Me looks like.
I chose to use water color. I feel it reflected the actual appearance of the image in this version. I have used water colors before and I really enjoyed it. I especially love the way they blend together. I am very proud of the work I created. I put in an abundance of time and effort and feel my final product reflects that.