Dissolve the yeast and 1 teaspoons of the sugar in 1 cup of the water in a large bowl or the bowl of an electric mixer. Stir, and let sit for 10 minutes.
Stir into the yeast mixture 3 of the eggs, oil, salt, and the remaining water and sugar. Slowly knead in enough flour to make a soft, tacky dough. Using your hands or a dough hook on the mixer, knead for 10 minutes or until smooth. Turn the dough out onto a floured board, place in a greased bowl, and let rise, covered, for 1 hour.
Punch down the dough and divide into 9 rounds about the size of tennis balls. Place 3 rounds together on a greased cookie sheet, touching, to form a triangle. Repeat with remaining dough. Let rise, uncovered, for about 30 minutes.
Preheat the oven to 375 degrees.
Beat the remaining egg with a little water and brush the dough. Bake for about 20 minutes or until golden and loaves sound hollow.