In a large bowl, using a sturdy fork, mix together the shortening and sugar until all the sugar has been incorporated into the shortening. Add in the eggs.
In a medium bowl, whisk together the flour, cream of tartar, baking soda, and salt. Stir the dry ingredients into the shortening mixture. Chill the dough for about 30 minutes.
Preheat oven to 400 degrees F. In a small bowl, mix together the sugar and cinnamon. Once the dough is chilled, roll into balls the size of small walnuts, and roll the balls into the cinnamon sugar mixture.
Place the balls about 2 inches apart on a baking sheet that has been lined with a silpat or parchment paper. Bake until lightly brown but still soft, about 8-10 minutes. Cookies puff up at first, then flatten with a crinkled top. Remove from oven, and let cool on the baking sheet for a few minutes to harden. Transfer to wire rack and let cool completely. Enjoy!
Makes about 5 dozen cookies
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