Combine the flour, cream of tartar, salt, and paprika in a bowl.
Add the water and vegetable oil to a small pan and bring to a boil.
Reduce heat and pour in the dry ingredient, stirring rapidly until the dough comes together.
Turn it out on a clean counter top that has been sprinkled with arrowroot powder and knead together.
Store in a airtight container. Keeping the playdough in the refrigerator can help to extend its shelf life.