Beat the egg whites until nearly stiff. Gradually add the sugar and beat 10 minutes after last addition. Add vanilla extract and th ground nuts.
Place a little flour and sugar on a board and roll the dough out to the thickness of your little finger. Cut into 1-inch-wide strips, and cut each strip into 1-inch lengths. Place on an ungreased cookie sheet.
Bake 20 minutes in a preheated 300° oven. These will puff up into spheres as they bake.