Polygons with three corners or vertices and three sides or edges which are line segments.

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OpenGL drawing, breaking down triangles

if I want to use no textures in a game (i.e png's), would I just break down my drawing into triangles and combine them the way I want? I found this in Google Images.
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XNA inverted matrix acting strange

First of all, I am trying to calculate the two points of a triangle that have a given z position. I have figured out what I think to be quite a good method. First of all I move the triangle to be ...