Divine Proportions: Rational Trigonometry to Universal Geometry

Divine proportions are special ratios that occur in nature, such as the ratio of the length of the sides of a pentagon or the ratio of the length of a spiral in a sunflower. Rational trigonometry is the branch of mathematics that deals with how angles and lengths of triangles are related. Universal geometry is a branch of mathematics that deals with how shapes, sizes, and measurements fit together and how they can be changed. Together, rational trigonometry and universal geometry are used to calculate and understand divine proportions. Divine proportions can help us learn more about the mathematical patterns around us and the natural world.