For this brick texture I attempted texturing without using a UV map for experimentation.
After a little bit of trial and error it worked, but it felt very pointless as I just had to do a bit of guesswork which I wouldn’t have to have done if I’d just exported the UV map as usual. Luckily it was a very simple texture so it wasn’t too time consuming.
Final result:
Boma's CGA Sketchbook 