To Make the Dough: In the bowl of a stand mixer, combine flour, white sugar, yeast, salt (put it on the opposite side from the yeast), cardamom, and softened butter. Using the dough hook, mix until they are combined, then slowly pour in the milk, water, egg, and vanilla. Continue mixing on low until the dough is combined and cohesive, then turn the mixer up to medium and allow it to knead for 5 minutes. The dough will be soft, but should form a cohesive ball. If not, slowly add flour, a tablespoon at a time, until it is a workable dough but still soft.

Oil your hands and a clean bowl, and shape the dough into a bowl then place it in the bowl. Cover it with a sheet of plastic wrap and let it rise in a warm place for 1-2 hours, or until it has double in size. Place the dough in the refrigerator until it is completely chilled.

To Make a Butter Block: Generously sprinkle a piece of parchment paper with flour, the place the butter on it. Sprinkle the top of the butter with more flour, then place another piece of parchment on top of it. Using a rolling pin, smash and roll the butter into a sheet until it measures 6”x12”. Return it to the refrigerator until it cold but still pliable. Do not keep in the refrigerator until it is completely hard, or it will shatter into chunks when you roll it into the dough.

To Laminate the Dough: On a generously floured surface, roll the dough into a rectangle about 7”x18”. Cut the butter block in half, and place one half in the center of the dough. Fold one end over the butter, place the other half of the butter block on top of it, then fold the other third of the dough over the top of the butter. Pinch the edges of the dough to seal in the butter, then roll it out into a rectangle about 12”x8”. Fold it into thirds again, then wrap it in plastic wrap and place it back in the refrigerator for about 30 minutes to chill it all again, then repeat the folding and rolling three more times for a total of 4 folds. The dough is now read to be shaped, or can be kept in the refrigerator overnight at this point.

To Shape the Danishes: Remove the dough from the refrigerator, place it on a well-floured surface, and roll it out to a rectangle about 12”x16”. You want it to be a bit larger so that you can trim the edges and even them out.

There are several ways to shape them. For classic rounds, cut the dough into 1” strips lengthwise. Gently twist each strip 5-6 times, then coil it into a loose snail shape. You want the coils to be touching, but not too tightly so that they have room to rise.

For pinwheels, cut the dough into 4” squares. Using a sharp knife, cut from the corners into the center, leaving about an inch of dough uncut in the center. Take the right side of each corner and fold it into the center, pressing gently to make the dough stick.

For diamonds, cut the dough into 4” squares. Fold the corners up into the center and gently press to make the dough stick.

Place the pastries onto a parchment lined baking sheet, then place them in a clean plastic bag with plenty of air trapped inside so that the bag doesn’t stick to the dough. Allow them to rise for 1 1/2 to 2 hours, or until the dough is soft and puffy. You can refrigerate the dough overnight at this point, and remove it and allow it to rise in the morning before baking. The rising may take a little bit longer, since the dough will be very cold.

To Fill the Danishes: Combine all of the filling ingredients except the blueberry jam in a small mixing bowl, and beat it until smooth. You can add more powdered sugar to create a sweeter filling.

In a small bowl, beat an egg well, then brush it over the shaped pastries with a pastry brush. Using the back of a greased, round tablespoon, press firmly into the center until there is a small well. Spoon about 2 teaspoons of filling (either the jam or cream cheese) into the center.

Preheat the oven to 375°, and set a rack in the center. Bake the danishes for 18-20 minutes, or until they are a deep golden color. I recommend using a spatula to peek at the bottoms and be sure that they are done underneath also.

While the danishes are baking, stir together the glaze ingredients and pour it into a small zippered plastic bag. You can snip the corner off of the bag for more control while drizzling the glaze.

Allow them to cool for a few minutes, then drizzle with the glaze and serve.