Divide dough in half and add food coloring to one half.
Wrap each in waxed paper and chill for 2 hours.
To form canes:
Roll dough into strips; lay red and white strips side by side and starting from the middle wrap one around the other, then curl one end to form the cane.
In a separate bowl sift together flour, cream of tartar, baking soda and salt.
Stir into butter mixture until combined well.
Chill dough.
Roll dough into balls the size of walnuts.
Combine cinnamon and sugar into a small bowl. Roll balls into the mixture.
Bake on cookie sheet 2″ apart in a 400° oven for 10-12 minutes or until lightly browned. These cookies puff up at first but then flatten out with a crinkled top.