Title
Regular Polytopes,New
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Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite! H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a wellknown authority on them.Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multidimensionality. Among the many subjects covered are Euler's formula, rotation groups, starpolyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and starpolytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study.
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- Q: What are the dimensions of 'Regular Polytopes'? A: The book measures five point four one inches in length, zero point six eight inches in width, and eight point four seven inches in height. These dimensions make it a compact and portable book.
- Q: How many pages does 'Regular Polytopes' have? A: The book contains three hundred sixty-eight pages. This extensive content covers various topics related to polytopes.
- Q: What type of binding does 'Regular Polytopes' have? A: This book is bound in paperback. This binding makes it lightweight and easy to handle.
- Q: Who is the author of 'Regular Polytopes'? A: The author is H. S. M. Coxeter, a renowned mathematician and authority on polytopes. His expertise adds significant value to the book.
- Q: What is the primary subject of 'Regular Polytopes'? A: The book focuses on the study of polytopes in geometry. It explores both two-dimensional and three-dimensional geometrical figures.
- Q: Is 'Regular Polytopes' suitable for beginners? A: Yes, the book is appropriate for readers with an elementary knowledge of geometry and trigonometry. Its explanations are accessible, making it suitable for beginners.
- Q: Can I use 'Regular Polytopes' for academic purposes? A: Yes, this book is excellent for academic study in mathematics and geometry. It includes historical summaries and numerous examples.
- Q: What topics are covered in 'Regular Polytopes'? A: The book covers topics such as Euler's formula, rotation groups, and star-polyhedra. Each chapter includes comprehensive explanations and historical context.
- Q: Is there a historical perspective in 'Regular Polytopes'? A: Yes, each chapter ends with a historical summary. It shows when and how the mathematical concepts were discovered.
- Q: What makes 'Regular Polytopes' unique? A: This book combines ancient Greek work with modern advancements in the study of polytopes. It is considered the foremost book on the subject.
- Q: How should I care for 'Regular Polytopes'? A: To keep the book in good condition, store it in a cool, dry place away from direct sunlight. Avoid bending the spine.
- Q: Is 'Regular Polytopes' appropriate for children? A: Yes, but it is recommended for children with an interest in geometry and who have basic knowledge of the subject. Adult supervision may enhance understanding.
- Q: What if I receive a damaged copy of 'Regular Polytopes'? A: If your copy arrives damaged, you should contact the seller for a return or exchange. Most sellers have policies in place for such situations.
- Q: Can I find practical applications of polytopes in 'Regular Polytopes'? A: Yes, the book discusses practical applications in fields like mineralogy, architecture, and linear programming. These applications enhance the theoretical discussions.
- Q: Does 'Regular Polytopes' include illustrations? A: Yes, the book includes numerous figures and diagrams to aid in understanding complex geometric concepts. Visual aids make the text more comprehensible.