Graphing a COmplete Nautilus to scale

in the video ( http://www.youtube.com/watch?v=kkGeOWYOFoA ) a graphing of a nautilus characterized by chambers and all

since i'm 20 years old with a c average math, (now taking college math 101_0() i would like to understand how this is graphed out, implying that i want to graph it out on my own (and with what program!) im' not sure what program he uses. i'm sure i want to be able to make my own nautilus, with my own dimensions of area, (length and width determined), with a specified amount of compartments. i know the graph wiill be an x y z. with the golden means somehow placed in the equation. that equation is given. anyone kn0w what I can do PLEASE

@*+ and how do i know the angles

How to build a nautilus given specific compartment numbers and area