A Cute Lil Somethin’

Over at this math blog I found this, and I found it totally adorable. In an Aww, you wyke yer wittle chew toy, dontcha? Yes you dooooo kind of way.

Basically, the idea is this. You take two functions and from and you plot as if were its x-axis. When you’re done you get some pretty sweet lookin’ plots.

Here are some of the ones I tried. The function is in black, and is in green, (where is the transformation discussed above). Note that using the same domains for and pretty much zooms out of the picture a lot of the time.

And here’s the Scilab code I used, if you’re interested:


function [r] = perpfunc(f,g,p) //f and g are functions
//p is a vector of x-values you want to plot

//The function perpfunc plots g as if f was its x-axis.

deff('y=df(f,x)','y=derivative(f,x)');
deff('y=T(x)','y=[x-g(x)*sin(atan(df(f,x))),f(x)+g(x)*cos(atan(df(f,x)))]');

lengthp=length(p);
b=ones(lengthp,2);

for i = 1:lengthp
b(i,:)=T(p(i));
end

plot2d(b(:,1),b(:,2),style=3); fplot2d(h,f);

endfunction