Spiced Potato Cakes

Name: Spiced Potato Cakes
Ingredients: 1 1/2 pound potatoes, left whole and unpeeled (so they don't get waterlogged while cooking); 2 large cloves of garlic, smashed to a paste; 2 teaspoons (heaping) ground cumin; 1 teaspoon turmeric; 1 1/2 teaspoon coriander; 1 teaspoon hot paprika (use less if you're spicy breakfast averse); 2 teaspoons salt; 4 large eggs; 1 tablespoon butter, plus lots more for frying; Plain yogurt mixed with your choice of herbs plus lemon juice for serving, or fried eggs, or chutney, or any other sauce you want