Russ Andersson demonstrates how to render 360VR meshes using SynthEyes when your 3D application lacks a 360VR camera. This method, referred to as "the hard way," involves creating separate scene files for each mesh. Andersson details the process, including adjusting tracker settings in SynthEyes, using the "follow mesh" script, and exporting to Blender. He explains setting up Blender for rendering with an alpha channel and converting the linear perspective render back to 360VR in SynthEyes. This method ensures compatibility with any 3D application, making it a versatile solution for 360VR rendering.