PROJECT OVERVIEW
For the last project of the year we used a program called starlogo to create a kaleidoscope. This was to present symmetry in motion. What starlogo is is a modeling and simulation software. The reason that we decided to use this software in our project because the software requires actual math to create the kaleidoscope so it came more as a bonus. It also help us create beautiful work and have everything reflecting exactly.
THE PROCESS
Step 1.
Learn controls and get familiar with the software. Find out how it works.
Step 2.
Step 2 was actually when we first started brainstorming and modeling in starlogo. We had to find a code that created a and y axis. This step was very important because the axis was needed to create the kaleidoscope itself.
Step 3.
We had to learn to model the basic creations and shapes. the shapes and creations that we had to create was a semi-circle, a counter-clockwise traveling object creating a circle, a clockwise traveling object creating a circle, and a object thats stationary but spinning in circles. All of these creations had to be in their own quadrant.
Step 4.
We brainstorm ideas on what we want our kaleidoscope to look like and create it in another math program named GeoGebra. The creations weren't exactly reflecting but we were visualizing our thoughts to remember what we want to create in the next step.
Step 5.
We start actually modeling our kaleidoscope with the Starlogo software. With the GeoGebra file as an outline we create the first angle of symmetry.
Step 6.
For the last in final step we reflect the image to create the actual and complete kaleidoscope.
SYMMETRY
Symmetry is basically is a quality of being made up of exactly similar parts facing each other or around an axis. You can count how many angles of symmetry has by the amount of times that the image reflects. I believe that my kaleidoscope represents symmetry because my original image or quadrant is exactly reflecting to create three more angles of symmetry.
RIGID MOTION
My image includes three examples of rigid motion. I included my translation with the circles translating parallel without having the image flip. It also includes rotation with the image moving with still one point planted. I also include reflection when the circles reflect from the right side to the left side. You most likely can't tell because all the shapes are circles. But you can see that its reflecting because the agents are moving in opposite directions.
For the last project of the year we used a program called starlogo to create a kaleidoscope. This was to present symmetry in motion. What starlogo is is a modeling and simulation software. The reason that we decided to use this software in our project because the software requires actual math to create the kaleidoscope so it came more as a bonus. It also help us create beautiful work and have everything reflecting exactly.
THE PROCESS
Step 1.
Learn controls and get familiar with the software. Find out how it works.
Step 2.
Step 2 was actually when we first started brainstorming and modeling in starlogo. We had to find a code that created a and y axis. This step was very important because the axis was needed to create the kaleidoscope itself.
Step 3.
We had to learn to model the basic creations and shapes. the shapes and creations that we had to create was a semi-circle, a counter-clockwise traveling object creating a circle, a clockwise traveling object creating a circle, and a object thats stationary but spinning in circles. All of these creations had to be in their own quadrant.
Step 4.
We brainstorm ideas on what we want our kaleidoscope to look like and create it in another math program named GeoGebra. The creations weren't exactly reflecting but we were visualizing our thoughts to remember what we want to create in the next step.
Step 5.
We start actually modeling our kaleidoscope with the Starlogo software. With the GeoGebra file as an outline we create the first angle of symmetry.
Step 6.
For the last in final step we reflect the image to create the actual and complete kaleidoscope.
SYMMETRY
Symmetry is basically is a quality of being made up of exactly similar parts facing each other or around an axis. You can count how many angles of symmetry has by the amount of times that the image reflects. I believe that my kaleidoscope represents symmetry because my original image or quadrant is exactly reflecting to create three more angles of symmetry.
RIGID MOTION
My image includes three examples of rigid motion. I included my translation with the circles translating parallel without having the image flip. It also includes rotation with the image moving with still one point planted. I also include reflection when the circles reflect from the right side to the left side. You most likely can't tell because all the shapes are circles. But you can see that its reflecting because the agents are moving in opposite directions.
REFLECTION
This project I would say was a very different project and a different type of learning then I am used to doing. There was both things that I liked and things that I didn't like about this assignment. I really enjoyed working on something beside drawing and researching and then presenting. What I didn't like about this assignment is that I don't believe that we had received enough time to complete our assignments. I also had a lot of problems with the software and it also wasted my time. I also wasn't able to work on the project because the software is not available for me at because it isn't compa. I believe that the habit of a mathematician that I used the most in the project was starting small.