David Hockney (homemade) prints

Last term I visited Salts Mill gallery and bought a book dedicated to Hockney as a printmaker. Within this body of work, I particularly like prints (such as the one above) where he has combined more fine, digital-looking patterns with fluid handmade lines and shapes. This print, and most of the similar ones, state to have been made by a 'office colour copy machine'. I think I could replicate the same effect, however, using 'bitmap' mode on photoshop to modify mono-print or hand-drawn textures. I would like to start experimenting with creating similar digital patterns, to create a body of screen-prints - perhaps expanding on my final work for the context of practice module ...