A Mathematical Space Odyssey – Solid Geometry in the 21st Century Pdf This book presents methods for demonstrating a number of geometric benefits in three different dimensions. Particular attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, in addition to many classical and new outcomes. A chapter is dedicated to each of the next fundamental methods for exploring space and proving theorems: enumeration, representation, dissection, plane segments, intersection, iteration, movement, projection, and folding and unfolding.
The book comprises a choice of Challenges for every chapter together with options, references and a comprehensive catalog. The text is aimed at secondary school and university and college instructors as an introduction to solid geometry, as a nutritional supplement in problem solving sessions, as enrichment material at a class on proofs and mathematical justification, or within a math course for liberal arts students.