In his honor, here is Matlab code to generate a Mandlebrot set (from an old homework assignment): function inValues= mndl(limits) %no inputs needed, used by th

In his honor, here is Matlab code to generate a Mandlebrot set (from an old homework assignment): function inValues= mndl(limits) %no inputs needed, used by the script to zoom in %amount of detail to calculate; larger number = better resolution, slower calculation stepsR=300; stepsI=300; %maximum iterations used in calculations maxIter=50; if exist('limits')~=1; %intial range of real and imaginary numbers to compute lowerR=-2; lowerI=-1.25; higherR=1; higherI=1.25; else numel(limits)==4; %range to compute after zooming in, determined by axis lowerR=limits(1); lowerI=limits(3); higherR=limits(2); higherI=limits(4); end %Constants: slR=(higherR-lowerR)/(stepsR-1); slI=(higherI-lowerI)/(stepsI-1); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Create the Mandelbrot image. [x,y]=meshgrid([0:stepsR-1]slR+lowerR,[0:stepsI-1]slI+lowerI); inValues=ones(size(x)); z=zeros(size(x)); c=(x+1iy); h_z=1:(stepsRstepsI); for counter=1:maxIter z(h_z)=z(h_z).^2+c(h_z); h_z= h_z(abs(z(h_z))<2); inValues(h_z)=inValues(h_z)+1; end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %format presentation of Mandelbrot image colormap jet; pcolor(x,y,log(double(inValues))); title('Mandelbrot Image: Zoom In and Sharpen for Details'); shading interp; axis off; zoom %turn on zoom feature initially clear inValues %Buttons: %recalculate image to enhance after zooming in (just calls the function %again with new input argument based on current axis) h1= uicontrol('Parent',gcf,'Units','points', ... 'Callback',['mndl(axis);zoom;'], ... 'Position',[105 5 105 20],'Style','pushbutton','String','Sharpen (after zooming in)'); %turn the zoom button on or off h2= uicontrol('Parent',gcf,'Units','points', ... 'Callback',['zoom'], ... 'Position',[215 5 55 20],'Style','pushbutton','String','Zoom On/Off'); %reset the image h3= uicontrol('Parent',gcf,'Units','points', ... 'Callback',['mndl();zoom;'], ... 'Position',[275 5 40 20],'Style','pushbutton','String','Reset');