Dough Preparation: In a food processor, combine eggs, water, oil, baking powder, and vanilla. While mixing, gradually add flour until the dough becomes consistent and firm.
Rolling: Remove the dough and divide into 4–5 equal portions. Knead each portion briefly, then flatten on a lightly floured surface. Process each portion through a pasta machine, moving through ascending settings (from 1 to 4 or 5) until paper-thin.
Cutting: Slice the thin dough into 2" wide strips, about 14–16" long. Place on a floured surface and cover with a cloth to prevent drying.
The Ritual Fry: Heat 2" of oil in a small pan to medium heat. Test temperature with a small pinch of dough; it should turn light pink. Insert one end of a dough strip between the prongs of a fork. Dip into the oil and, as it blisters, use your free hand to feed the loose end into the oil while rotating the fork to create a scroll.
Finishing: Remove the fried scroll immediately to a paper towel. Bring water, sugar, honey, and lemon peel to a boil in a separate pot. Dip each pastry into the syrup to coat completely. Let cool on a rack.