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For rendering 3D wireframes in general, involving OpenGL would overcomplicate things. Instead, you might want to look at GLM, the 3rd-party math library that many modern OpenGL apps use (because OpenGL no longer takes responsibility for any CPU-side matrix math). With GLM, in a few lines of code, you can throw 3D lines at some camera matrices and get output you can put on screen. More work would still be needed to do things like clipping/culling or opaque triangles, but that's basic 3D coding, and nothing compared to digging into the guts of an OpenGL software renderer.