Geometric Regular Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Regular Polytopes write by Peter McMullen. This book was released on 2020-02-20. Geometric Regular Polytopes available in PDF, EPUB and Kindle. Regular polytopes and their symmetry have a long history stretching back two and a half millennia, to the classical regular polygons and polyhedra. Much of modern research focuses on abstract regular polytopes, but significant recent developments have been made on the geometric side, including the exploration of new topics such as realizations and rigidity, which offer a different way of understanding the geometric and combinatorial symmetry of polytopes. This is the first comprehensive account of the modern geometric theory, and includes a wide range of applications, along with new techniques. While the author explores the subject in depth, his elementary approach to traditional areas such as finite reflexion groups makes this book suitable for beginning graduate students as well as more experienced researchers.
Abstract Regular Polytopes
Abstract Regular Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Abstract Regular Polytopes write by Peter McMullen. This book was released on 2002-12-12. Abstract Regular Polytopes available in PDF, EPUB and Kindle. Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.
Regular Polytopes
Regular Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regular Polytopes write by H. S. M. Coxeter. This book was released on 2012-05-23. Regular Polytopes available in PDF, EPUB and Kindle. Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.
The Geometry of Higher-Dimensional Polytopes
The Geometry of Higher-Dimensional Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Higher-Dimensional Polytopes write by Zhizhin, Gennadiy Vladimirovich. This book was released on 2018-08-03. The Geometry of Higher-Dimensional Polytopes available in PDF, EPUB and Kindle. The majority of the chemical elements form chemical compounds with molecules of higher dimension (i.e., substantially exceeding three). This fact is very important for the analysis of molecular interactions in various areas: nanomedicine, nanotoxicology, and quantum biology. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary compounds. It explores the study of geometry polytopes from a higher-dimensional perspective, taking into account the features of polytopes that are models of chemical compounds. While highlighting topics including chemical compounds, symmetry transformation, and DNA structures, this book is ideally designed for researchers, academicians, and students seeking current research on dimensions present in binary compounds.
Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings
Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings write by Alicia Boole Stott. This book was released on 1913. Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings available in PDF, EPUB and Kindle.
