How to reduce vertex count on a mesh
I need a way to fix this mesh. It has way to many faces and when I import the .stl to other programs it gives me a broken polygon message, I want to 3D print this object in matter control once I fix the problem.
The easiest way to reduce the vertex count on a model is probably to use the Decimate modifier. Basically it tries to simplify a mesh, without loosing too much detail. There are also multiple modes, for finer control, but the default one should do for most cases.
What you need to do is, with your object selected, to go to the modifier tab of the Properties window and add a Decimate modifier. I encourage you to play around with the multiple settings and modes to see which best suits your needs.
I have the best luck with using the "Planar" setting with the Decimate modifier. Play with the angle to see how it affects your shape. The modifier even displays the face count which is really cool.