Thin strands of phyllo dough. This is also called angel hair or spun wheat. Tip: soak the kataifi in kimchi, wrap a shrimp in it, and fry it into a snack. Kataifi spun dough Kataifi. What is also written as kadaifi is spun dough, also called thread dough. It looks a bit like vermicelli or angel hair, but it is always served crispy.