To Make The Dough: In a glass measuring cup with a lip, combine the water and the sugar and stir to mix.
Sprinkle the yeast over the top and allow to stand for 10 minutes until it has a frothy head.
If no frothy head forms, the yeast is bad and you will need to start again.
In the bowl of a food processor fitted with the metal blade, combine the all-purpose flour with the polenta, whole wheat flour, rosemary, olive oil, and salt.
Process briefly just to blend.
With the motor running, pour the yeast mixture steadily through the feed tube and process until the mixture forms a rough ball on the central stem.
If the dough has not formed a ball within 20 seconds, remove the cover and sprinkle a tablespoon (or more) of water over the dough, then process again.
The dough should be processed for a total time of about 45 seconds.
Replace the feed tube cover so that no air will get in (I also covered the food processor with a towel to maintain the heat .
I had the air conditioner on all day so it was cool in my house)
and leave the dough in the processor to rise for 1 to 1 1/2 hours, or until it has doubled, puffed, and softened.
While the dough is rising, prepare any toppings you want to use.
I used rehydrated porcini mushrooms, sautéd sweet onions with poppy seeds and toasted sesame seeds, sliced fresh Italian plum tomatoes, caponata, green bell peppers, and capers.
I just matched whichever I wanted onto each of the pizzas.
If you need to hold the dough for baking later.
Just form the individual pizzas (without topping them) and put them onto a refrigerator on nonstick cookie sheets for up to 2 hours.
They do not need to be reheated when you take them out of the refrigerator and put the topping on them.
Preheat the oven to 450 degrees F on the middle shelf.
I put in my baking stone.
Process the dough in the food processor again for 5 seconds, then turn it out onto a lightly floured board.
Work the dought together to forinto 8 to 10 equal-sized balls.
(I made 5 individual pizzas with the dough. as I wanted them to be a bit large to hold the fillings I had chosen.)
Place the dough balls on a lightly oiled large baking sheet, covered with a slightly dampened towel, and allow to rest for 15 minutes.
Press each ball out into a 3 inch round.
Put the toppings on and leave a 1/4-inch border around the edge.
Bake for 10 - 12 minutes.