Finely grate the parmesan. Bring 500 ml water, milk, 30 g butter and 2 teaspoons salt to the boil. Stir in the polenta and let it trickle in. Let it swell at low heat while stirring for about 10 minutes. Stir in parmesan. Spread the mixture about 1 cm high into a greased form (about 24 x 26 cm) and let it cool down.
Turn the polenta over onto a board and cut it into diamonds (each with an edge length of approx. 3 cm). Roast the pine nuts in a pan without fat, take them out. Heat the oil in the pan. Peel garlic and chop finely.
Fry the polenta rauts in portions in the oil for about 4 minutes on both sides until golden brown. Drain briefly on kitchen paper. Keep corn corners warm in the oven until serving. Sprinkle with pine nuts and basil.