Code generated pattern wrap on 3D

The problem is I would like to have all 6 faces since the object would be rotated dynamically. But I would only need the 3 surfaces with textures that are visible, so it would definitely help I can eliminate the rest of hidden 3 surfaces during the process of generating the PDF - That way I don’t have to edit this further in illustrator or Inkscape. Is there a way to convert the 3D visual into a 2D visual and then render as 2D output - so there would be no depth issues or hidden surfaces?