Lesson on DPGraph

Background

DPGraph, formerly also called Cyclone98, is a remarkably efficient and useful application for drawing mathematical surfaces (and lots of other things.) It is coded entirely in Intel assembly language and so is designed for the Windows operating system. However, it can be coaxed to work on other platforms as well, with a little effort. We shall use it with the VMWare "Fusion" virtual computer on the Macs, running Windows XP.

Install and Use DPGraph

For optimal use of DPGraph (DPG) you need to be able to save/edit text files in the DPG directory. Therefore, should install DPG on your own computer. For other computers, you can download a copy into your own space, or run it off a USB memory stick.

To download DPG to a pc, google DPGraph, and use our UIUC licence as a subscriber. Without a licence you can download a DPG player, but cannot edit and create new scripts. The unlicensed player can replay your binary files created by DPG.

When you open DPG it animates hyperboloids from 1 to 2 sheets and back. Always check the aspect ratio of your window to make sure it does not distort the geometrical figures. In DPG, use the arrow keys to turn image so that the cup faces you. Change aspect ratio of the window until it looks circular. Let’s investigate some of its features.

MATH: What does
```
 graph3d(a*x^2+b*y^2+sin(c*time)=d*z^2 
```
say in standard math notation? This is the formula that defines the cover animation.
SCROLLBAR: Note that a=b=b=c=1, what happens if you change these?
1. Image Parameter: X-slice > arrows(no mouse) > move scrollbar
2. D-variable: what does d=0, d<0 mean?
MATH: Discuss Conic Sections and Quadric Surfaces. (Separate Lesson on W2)
ANIMATE:
1. You’ve already seen how the "time" variable works.
2. "Scrollbar" for one paramater at a time.
3. Slider
4. 3D-view with the arrow keys for an x- and y-rotation, no z-rotation. Question: Can you see every aspect of an object with the arrows?
HELP: This is (pleasantly) rudimentary documentation in the style of the classical "man pages". Then you experiment. Keep track of what you discover in your Journal.
CLIPBOARD: Copy and Paste using the clipboard. Don’t drag and drop, at least I had a problem with that.

While the EDIT popup has a tiny window into the script, it is generally better to SAVE as a textfile, open it in Wordpad, edit it, save the edit, and press the EXECUTE button in dpg to see the effect of your edit.

SAVE:

Save the script for the cover animation as a text file with Save > nameit > Desktop > As ASCII DGP file
Open nameit with WordPad to read and edit it.
Open the modified file in DPGraph and run (execute) it.

The Lesson of the Day and Homework for W1 concerns DPGraph (aka Cyclone98).

Objective: Be able to download and work with
    * David Parker's amazingly intelligent, remarkably versatile, and
      surprisingly spartan (minimal) software package.(Opposite of bloatware)
    * Explore, and report (Journal) on some of the examples in the package.
    * Create your own DPGraph RTICA, document it and prepare to demo it.