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Author : Alicia Boole Stott
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.E/5 ( download)
Download or read book Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings written by Alicia Boole Stott and published by . This book was released on 1913 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alicia Boole Stott
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (64 download)
Download or read book Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings written by Alicia Boole Stott and published by . This book was released on 1910 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pieter Hendrik Schoute
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (555 download)
Download or read book Analytical Treatment of the Polytopes Regularly Derived from the Regular Polytopes written by Pieter Hendrik Schoute and published by . This book was released on 1913 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)
Download or read book Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam written by and published by . This book was released on 1910 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4.:/5 (321 download)
Download or read book American Journal of Mathematics written by and published by . This book was released on 1913 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1799867706
Total Pages : 280 pages
Book Rating : 4.7/5 (998 download)
Download or read book Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2020-12-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of the structure of substances in recent decades, phenomena in the higher dimension was discovered that was previously unknown. These include spontaneous zooming (scaling processes), discovery of crystals with the absence of translational symmetry in three-dimensional space, detection of the fractal nature of matter, hierarchical filling of space with polytopes of higher dimension, and the highest dimension of most molecules of chemical compounds. This forces research to expand the formulation of the question of constructing n-dimensional spaces, posed by David Hilbert in 1900, and to abandon the methods of considering the construction of spaces by geometric figures that do not take into account the accumulated discoveries in the physics of the structure of substances. There is a need for research that accounts for the new paradigm of the discrete world and provides a solution to Hilbert's 18th problem of constructing spaces of higher dimension using congruent figures. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces aims to consider the construction of spaces of various dimensions from two to any finite dimension n, taking into account the indicated conditions, including zooming in on shapes, properties of geometric figures of higher dimensions, which have no analogue in three-dimensional space. This book considers the conditions of existence of polytopes of higher dimension, clusters of chemical compounds as polytopes of the highest dimension, higher dimensions in the theory of heredity, the geometric structure of the product of polytopes, the products of polytopes on clusters and molecules, parallelohedron and stereohedron of Delaunay, parallelohedron of higher dimension and partition of n-dimensional spaces, hierarchical filling of n-dimensional spaces, joint normal partitions, and hierarchical fillings of n-dimensional spaces. In addition, it pays considerable attention to biological problems. This book is a valuable reference tool for practitioners, stakeholders, researchers, academicians, and students who are interested in learning more about the latest research on normal partitions and hierarchical fillings of n-dimensional spaces.
Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1799883760
Total Pages : 366 pages
Book Rating : 4.7/5 (998 download)
Download or read book The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2022-04-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the geometry of structures that arise in a variety of specific natural systems, such as chemical, physical, biological, and geological, revealed the existence of a wide range of types of polytopes of the highest dimension that were unknown in classical geometry. At the same time, new properties of polytopes were discovered as well as the geometric patterns to which they obey. There is a need to classify these types of polytopes of the highest dimension by listing their properties and formulating the laws to which they obey. The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems explains the meaning of higher dimensions and systematically generalizes the results of geometric research in various fields of knowledge. This book is useful both for the fundamental development of geometry and for the development of branches of science related to human activities. It builds upon previous books published by the author on this topic. Covering areas such as heredity, geometry, and dimensions, this reference work is ideal for researchers, scholars, academicians, practitioners, industry professionals, instructors, and students.
Author : H. S. M. Coxeter
Publisher : Courier Corporation
ISBN 13 : 0486141586
Total Pages : 368 pages
Book Rating : 4.4/5 (861 download)
Download or read book Regular Polytopes written by H. S. M. Coxeter and published by Courier Corporation. This book was released on 2012-05-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (31 download)
Download or read book Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam, Afdeeling Natuurkunde written by and published by . This book was released on 1913 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.:/5 (43 download)
Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1911 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Koninklijke Nederlandse Akademie van Wetenschappen. Afdeling Natuurkunde
Publisher :
ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings of the Section of Sciences written by Koninklijke Nederlandse Akademie van Wetenschappen. Afdeling Natuurkunde and published by . This book was released on 1916 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter McMullen
Publisher : Cambridge University Press
ISBN 13 : 9780521814966
Total Pages : 580 pages
Book Rating : 4.8/5 (149 download)
Download or read book Abstract Regular Polytopes written by Peter McMullen and published by Cambridge University Press. This book was released on 2002-12-12 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : H. S. M. Coxeter
Publisher : Courier Corporation
ISBN 13 : 0486409198
Total Pages : 301 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Beauty of Geometry written by H. S. M. Coxeter and published by Courier Corporation. This book was released on 1999-01-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.
Author : Duncan M'Laren Young Sommerville
Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)
Download or read book Bibliography of Non-Euclidean Geometry written by Duncan M'Laren Young Sommerville and published by . This book was released on 1911 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Koninklijke Akademie van Wetenschappen (Netherlands). Afdeeling Natuurkunde
Publisher :
ISBN 13 :
Total Pages : 670 pages
Book Rating : 4.:/5 (1 download)
Download or read book Proceedings of the Section of Sciences written by Koninklijke Akademie van Wetenschappen (Netherlands). Afdeeling Natuurkunde and published by . This book was released on 1910 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Cocchiarella
Publisher : Springer
ISBN 13 : 3319955888
Total Pages : 2334 pages
Book Rating : 4.3/5 (199 download)
Download or read book ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics written by Luigi Cocchiarella and published by Springer. This book was released on 2018-07-06 with total page 2334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
