If the applet does not load or display below this sentence in your browser, you will need to download and run the jar file Spirograph.jar .

Notes: This is a java applet and requires Java. The parameter k represents how big the rolling circle (blue,red,black) is with respect to the fixed circle (green). There are three sliders that can be used to change its value. The two sliders,"adjust K (Numerator)"and"adjust K (Denominator)"define K = Numerator / Denominator. This allows for values such as 1/3. The field"Expressed in lowest terms"will display the fraction represented by the two sliders in its lowest terms. Or use the slider"adjust K (rolling circle size)"to set K a discreet value between 0 and 2 by 0.01 increments."adjust L (drawing position)"- This slider changes the drawing position in the rolling circle. There are 4 different drawing types, draw_a_point draw_a_line rolling circle origin to computed point Fixed circle origin to computed point Adjust Start and End - As the circle starts to roll, these slider set the starting and ending drawing points, based on the angle the rolling circle origin makes with the fixed circle origin."In Motion Rotation"This slider can be used to see how the actual drawing is made. As the slider moves, you will see the circle rotate around the fixed circle. To see these in operation, Set the following adjust K (Numerator) = 33 adjust K (Denominator) = 99 adjust L (drawing position) = 1 1. Change the "adjust L (drawing position)" slider. Notice how the drawing changes 2. Change the start and end sliders. Notice how the start and end drawing positions can be set. 3. Drag the "In Motion Rotation" slider from min to max, and you can see how the drawing is done. The color scheme used can be changed by the applet menu bar, click on Spirograph to see the different options.