In a bowl combine the flour, sugar, and butter until it resembles coarse sand. Add the egg yolks, milk, honey, zest, and salt and knead until dough forms. Roll the dough into a ball, cover with plastic wrap, and refrigerate for at least one hour.
Preheat the oven to 350 degrees.
Toast the sesame seeds in a dry skillet until dark golden. Put onto a plate. Reserve.
In a small bowl, using a fork, beat the egg whites with 3 tablespoons of water. Divide the chilled dough into 4 sections. Roll each section into a log about 1 inch wide. Cut the log into 1 1/2-inch sections. Repeat with the remaining dough. You should have about 24-26 cookies.
Dip each cookie in the egg whites then roll in the sesame seeds, covering all sides. Put the cookies onto a parchment lined baking sheet and bake for 30 minutes, until golden.
A Sicilian classic! The various names for these cookies run the gamut from the elegant Biscotti Regina,“Queen’s cookie”, to the comical Strunzi di Sciocca, “Chicken’s Shit” to the slightly irreverent Strunzi d’Ancilu, “Angel’s shit”.