Here is a link to a Google Doc where you can fill out that table Justin gave us, ohh and don't screw with.

http://bit.ly/Wts4vx

Our Musings on Transformations

What we came up with during our brainstorm
Courtesy of Paul

1. turn/rotate
2. mirror/reflect/flip/invert
3. scale/project
4. warp/continuous map
5. break/explode/cut & paste/dent
6. stretch
7. translate/move/slide/shift
8. erase/delete/teleport to the void
9. extrude/thicken/solidify
10. twist
11. shadowfy/flatten/detrudue
12. dilate
13. glide reflect

Camera-Mars and Paul

We,(Paul and Mars) came up with a sort of solution to the camera problem. Our solution works with shapes that do not have walls. Here is an example of a walled shape;

What we found was that there was two distinct sub groups of shapes; Concave and Convex;

What we realized was that all convex shapes need only to have one camera, while the concave ones split into two categories; regular and irregular concave polygons. Regular Concave Polygons, or RCPs are concave polygons that from any point, and it does not need to be every point, in fact it can be one single point, a line can be drawn from that point to any point on the perimeter of the shape. The reverse is the definition for a ICP, or Irregular Concave Polygon. An example of a Irregular Concave Polygon is; ^^^^^^^^

One object (geometric) that obviously was hard for us to define was point, because we had to first define all this other stuff that we really did not need to, because some people are really picky about their definitions. Cough cough. What do you guys think? Is this a point?