Adventures Among the Toroids: A Study of Quasi-Convex, Aplanar, Tunneled Orientable Polyhedra of Positive Genus Having Regular Faces With Disjoint Interiors

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Summary: Build gorgeous models of incredible geometric solids.
Review: This book is a labor of love: a hand-lettered study of certain geometric solids. The shapes in question are relatives of the Platonic solids, only with holes! For me the joy of the book comes from 2 sources: First, the author uses an elegantly simple set of rules to define what solids fit into his study. He proceeds to show how these rules unfold vast families of solids, beautiful for their regularity and dazzling in their complexity. Second, the book is very oriented to helping the reader build gorgeous models of the shapes, using nothing more than rubber bands and triangles, squares, hexagons, etc. of cardboard. If you have ever been facsinated with intricate objects and shapes, this book is for you. With high school math and a little determination you can understand enough to make fantastic models, but that by no means exhausts the content of the book. There are also plenty of concepts from solid geometry, symmetry, etc. for students of higher mathematics. A must for every high school and college library.