Mini-Potato Burgers

potatoes , preferably a floury variety

salt

large cloves garlic , peeled and lightly crushed

vegetable oil , such as rapeseed oil, for frying

butter for frying

brussels sprouts or savoy cabbage , washed and finely shredded

butter

spring onions , white and green parts finely sliced

mature cheddar or other flavoursome hard cheese , grated (I used Mt. Callan cheddar)

cider vinegar or to taste

freshly ground black pepper

large eggs , beaten

plain flour for coating