The learning guide “Discovering the Art of Mathematics: Art and Sculpture” lets you, the explorer, investigate the deep connections between the visual and mathematical arts. This themes pervades many of the titles in this series - perspective drawing, projections and dimensional interplay in "Geometry"; origami in "Games and Puzzles"; braiding in "Dance"; spirograph in "Patterns" - topics that can be easily incorporated into your investigations in this book. Here you investigate the Möbius band, an important topological object which provides the classic recycling symbol as well as the structure of awareness ribbons. Flexing the paper fortune teller/cootie catcher-like flexagon reveals a magical structural pattern mimicking those same quantum states later schematically described by the Nobel-prize winning Richard Feynman. Folding and cutting in origami will illuminate powerful ideas from geometry. Inquire into the beautiful mathematics behind Google Streetview and 3D Panoramas.