Weekly 4: Doing Math: Spirograh

For my forth weekly blog I decided to play around with the spirograph workbook on geogebratube.  This workbook allows you to manipulate circle in many ways in order to trace the path of the circle or a connected circle to form certain unique designs.

My first design I made by tracing a single circle and moving it half the distance of the radius and tracing the circle again. I repeated the tracing 4 times in each of the three directions.

 

 For my second design I allowed the program to roll and trace the paths of the arms attached to a circle moving around the outside of the original circle and another moving on the inside of the original circle. After the "loop" was completed I would change the color of the pen and shift the size of the arm to half it's previous size and complete another loop. I repeated this method multiple times, but used the same size original circle each time.

 This last little design was made by tracing the path of the circle rolling around the inside of an original circle each color represents the path a circle that is half the size of the previous inner circle. The circle that was half the size of the original is the straight blue line. The path of the circle one quarter of the original is the green shape. The yellow figure is slightly smaller than one half of the circle used for the green shape, which is why the figures do not line up appropriately. I wasn't able to do 12.5 on the slider so I had to do 12 in order to make the yellow figure.