Method
Place sugar and butter into a food processor and pulse until well combined.
Add flour, cinnamon, ground ginger, cardamom, and allspice and pulse until mixture holds together.
Place the dough mixture onto a large piece of plastic wrap and wrap with a little room to roll it out into a 1/2 inch thick square.
Chill for at least 30 minutes.
Roll out dough to ¼ inch. Cut cookies out and chill before baking for about 10 minutes. See notes
Bake at 350 for 15 minutes, rotating the baking tray midway through the baking time.
Notes
I use 1/4 inch square dowels that I purchased from my local home improvement store to use as guides for rolling out the dough.