Methods of Solving Solid Geometry Problems

This textbook completes the author’s series of books on solving complex math problems and is aimed at developing readers' geometric thinking to master the skills of solving solid geometry problems.Written in a friendly manner, it discusses many important and sometimes overlooked topics about polyhedra such as their cross sections, unfolding, inscribed and circumscribed solids, and figures of revolution.Over 350 unique problems with detailed solutions and hints are presented throughout the text, many of which are solved in multiple ways to aid readers with different mathematical backgrounds.If the problem is of historical significance or can be related to a similar problem solved in ancient times, its original solution, historical information about its creation and origin of its methods are also included. Various applications of stereometry are also explored, including those to chemistry, molecular structures, and crystallography.For example, using Euler's formula for a convex polyhedro