Preheat the oven to 350°F (175°C).
In a mixing bowl, combine flour, sesame seeds, salt, and sugar.
Add softened butter and mix using a fork or your fingers until crumbly.
Stir in the egg and cold water, mixing until a dough forms.
Wrap the dough in plastic wrap and chill in the refrigerator for 30 minutes.
On a floured surface, roll out the dough to about ⅛ inch thick. Cut into sticks using a knife or pizza cutter.
Place cut sticks on a lined baking sheet, spacing evenly.
Bake in the preheated oven for 15-20 minutes or until golden brown.
Remove from the oven and allow to cool before serving.
