Last edited May-10, 2003 by pompe@uiuc.edu
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Alex Pompe: Math 198 Hypergraphics Homepage at the University of Illinois in Urbana-Champaign.

Overview

Have you ever had that feeling, where your not sure if your awake, or still dreaming?

Exploration using REL Workstations, DPGraph, and of course the CAVE.

May 10 -Here is the final update and summary on my work done here in Math 198 this semester. All of the key finished portions of the gallery are in my home directory/public/project. Also included in there are the two final CAVEskel versions of the Moebius Band and the Klein Bottle, both of which I have fallen in love with. In terms of status, my version of the CAVEskel is now so venerable that I can pretty much port into it any parametric equation I want and with minimal adaptation and am able to produce fully "clothed" versions of the resulting solid using triangle strips which can be shrunk down using modifications of the familiar Gap parameter to reveal an underlying wire frame version. A homotopy animation is also included in each which consists of varying the stretch along the U and V orbits, which in most cases produces something interesting and stunning, but I will not gurantee for everything. The gallery itself is now in an expandable form with plenty of room for future exhibits. It has textures implemented, but only one at a time. The final version is documented on the project page.



Apl. 30 -The environment for the gallery is up and running in a primitive form and textures should soon be on the way. However, at best it is still a fetus, but it does have the expandability built in so it will be able to grop up quickly. The architecture is CAVE compatible and I've decided that the tutorials will be painted on using textures. So on two fronts I need to get the textures running, which seems only to be a make file problem. Other than that, nothing really stands in the way of finalizing all of this, but a shot in the dark at trying to input the exhibits yielded strange results, but nothing Hiroshima. The project page is now adorned with screenshots from the two royal members of my gallery, the insatiable blue Klein bottle and the Moebius band that caused the Trojan war. Take some time to enjoy their beauty.



Apl. 23 -Math Gallery is moving along. Major breakthroughs have occured for the Klein Bottle and the Moebius strip as they are now beautifully rendered in the Skel and that also means they are CAVE ready. Each has a homotopy and you can watch its surface diminish and morph. I'll give you a minute to settle down after reading that. Also, textures for the environment are on the way and I will soon have to decide if I will use the Skel or the old gallery. For the Prompts I have not decided if I will use a texture or the standard bland text to display the education in the gallery. Either way it should not be hard to import all the great surfaces I have in the Skel and then I can concentrate on making them all as majestic as the Klein and Moebius. Nevertheless the task at hand still looms largely and I suspect time will become evermore a commoditity, and I wish other classes would just go away.



Mar. 19 -Engineering Open House was a success. Fun was had by all, and the Klein Bottle served its country well in the endless battle to entertain the public. However, it is now time to get back to the real world and continue with my project. Since the ability to render the shapes was born pre-maturely per EOH, I will now work on rendering all the shapes in my catalog for now. Also the pocket program page should now be enhanced with better explanations and source code for anyone who would like it.


Mar. 9 -Decided to create a page dedicated to my own hip-pocket program, and also decorate this page with creations by the same program. Take the time to enjoy some colorful Mandelbrot set images in GLUT.
-Here is the link to my pocket program page..


Feb. 28 -Here's the DP Graph figures that were promised. Added the jpegs of several surfaces that will likely go into the project. Initially I am capping the number of figures I will strive for at ten and get a handle on this goal before moving on.
-Cayley Cubic
-Folium Surface
-Clebsch Diagonal Cubic
-Klein Bottle
-Steiner's Roman Surface


Feb. 26 -More DP Graph examples coming soon. Items likely to go into my project will probably show up here first.
-Here is the link to my project web page..


Feb. 21 -Added a couple torus demonstrations courtesy of DPGraph. The DP Graph versions will have problems on non-windows based machines.
-Linked Tori
-DPGraph version of Tori.
-DPGraph Mesh version of Tori.



Catalog of Surfaces:
-Linked Tori
-Cayley Cubic
-Folium Surface
-Clebsch Diagonal Cubic
-Klein Bottle
-Steiner's Roman Surface

Links:
Project Home Page
Pocket Program Home Page.
Project Documentation.

Follow the White Rabbit.