Professor Michael Starbird of the University of Texas at Austin, presents "a collection of intriguing topics that reveal the rich, wondrous structure of what we see around us. Patterns in nature are the source of our geometrical understanding of the world. Abstracting those patterns leads to concepts from classical geometry ... Extensions of those and other ideas of form have created a beautiful landscape ofmathematical ideas, including Euclidean geometry, non-Euclidean geometries, symmetry groups, and graph theory."--Page 1.Abstract: Professor Michael Starbird of the University of Texas at Austin, presents "a collection of intriguing topics that reveal the rich, wondrous structure of what we see around us. Patterns in nature are the source of our geometrical understanding of the world. Abstracting those patterns leads to concepts from classical geometry ... Extensions of those and other ideas of form have created a beautiful landscape of mathematical ideas, including Euclidean geometry, non-Euclidean geometries, symmetry groups, and graph theory."--Page 1