Mandelbrot Set Builder
This applet requires the use of a digital signature/certificate in order to save screenshots of graphs generated by the applet. When asked for your approval, you should run/trust the certificate.
Download a copy of Mandelbrot Set Builder for your computer here and see version history here.
By choosing a c value (by clicking in the parameter plane (left) window or inputting it in manually), the point will turn color based on whether or not the critical orbit (computed as far as the value in the Parameter plane maximum iterations input box) escapes for that c value; it will turn red when it escapes and black when it does not. The applet will also plot and list the critical orbit values up to the number entered as the Orbit max iterations. Using the arrow keys on the keyboard after clicking in the Parameter plane window will move the c value by small amounts, updating the critical orbit points as c changes dynamically.
The applet will also allow the user to "select a square" (by click+drag mouse) in the Parameter Plane and have all the c values in that square colored appropriately which will only be activated after the Color selected square checkbox has been checked (default is unchecked so students do not stumble upon this feature too soon).
Exporting Pictures and Applet Settings
At the top left of the applet are the following drop down menus:
- Export will allow the user to save a png, gif, or jpg picture of the either the whole applet or of the individual viewing windows (Parameter plane or Orbit graph).
- Graph settings (Parameter or Orbit) will allow the user to adjust various settings such as axes style and color.
- Colors will allow the user to adjust the color of the text used in the headings of the various sections of the applet.
This material is based upon work supported by the National Science Foundation under Grant No. 0632976.
Version 1.2 (with menu bar).