In a large bowl mix flour, yeast, salt, and sugar.
In a large measuring cup mix the water with the oil.
Pour the water over the flour mixture, then mix just until the flour has been hydrated. The mixture should look shaggy and rough, it should be sticky, but not wet.
Spray the top with oil, then cover with plastic wrap and set aside for 30 minutes.
Remove the plastic wrap, and mentally divide the dough into four parts (like north, south, east and west).
Coat your hand with a little bit of oil (optional), then pull the dough about 3-4 inches high towards the center and drop.
Repeat with the other three parts.
Covert the bowl again, set aside for 30 minutes and repeat this twice more. (total of 2 hours rest time)
Pour the vegetable oil into a wide and deep pan, about 2-3-inches deep. Preheat the oil over medium heat to 360F.
Transfer the bowl of dough next to the frying pan. The dough should be puffy, soft and not sticky.
Gently pull part of the dough using one hand, then wrap the "neck" of the dough using the thumb and index fingers of you second hand. Pinch the dough.
Use your fingers to create a hole at the center of the dough, and gently place it in the hot oil. Repeat with the rest of the dough.
Fry for about 2 minutes on each size. Transfer the donuts to alarge plate sprinkled with sugar. Coat the donuts with the sugar and serve warm.