The accepted method at Halton
Pontius, was to put some of the RAF issue scouring powder on the back of the bedside mat and add Brasso to make a thick paste. Then the badge was rubbed vigourously face down in the paste until it was reduced to the fashionable flat surface. Hand polish with a yellow cloth to remove the scratchiness and Bob's yer uncle.
To digress a little - another old Brat tip. Take one pair of ammunition boots, smear in a thick layer of boot polish. Set fire to the boots and wait until the dimples disappear. Bull them up with Cherry Blossom, yellow cloth and loads of spit in the customary manner, to build up a nice layer of shiny black wax. So far, so good - its SOP - but to get the perfect finish, rub your hands together vigorously for a minute then use the heel of the palm to buff the bulled-up toe caps, insoles and heels to a perfect finish. The warm hand melts the outer layer of the 'bull' just enough to give that ultimate gloss.
Why?
I dunno.
Bull**** baffles brain...
