Create a graphical user interface (GUI) for control and display of the Sierpinski fractal

Use the graphical user interface development environment (guide) to create a graphical user interface with the following properties. Your interface will provide (1) a plotting area, (2) allow for input of fractal specific parameters, (3) option to enable grid lines and clear the plotting area. The parameters will include the three triangle vertices and number of iterations. It should also be possible to (4) select the point color and style to be used. There also should be an option to (5) show progressive as well as aggregate rendering, i.e. a ckeckbox to specify that each point should be rendered as soon as it has been computed, versus plotting being deferred until the computation of all points is complete. The later will result in a major performance gain and you may label this toggle button Optimize. Your application should also (6) measure the time that it takes to run the computation and report it back in a static text field. Make sure that all widgets are properly labeled and self-explanatory. The name of your gui .fig and the associated .m file should be sierpinskiGUI.