Compound Polyhedra

Author : Peter R. Cromwell
Publisher : Cambridge University Press
Page : 498 pages
File Size : 46,5 Mb
Release : 1997
Category : Mathematics
ISBN : 0521664055

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Polyhedra by Peter R. Cromwell Pdf

Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.

Author : Fergus Currie
Publisher : Tarquin Group
Page : 148 pages
File Size : 44,5 Mb
Release : 2021-10-11
Category : Electronic
ISBN : 1913565734

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Compound Polyhedra by Fergus Currie Pdf

A book of ten geometric models of advanced modular origami designed by Fergus Currie with full instructions and diagrams on how to make the following: 1. Compound of Cube and Octahedron 2. Compound of Icosahedron and Dodecahedron 3. The Small Triambic Icosahedron 4. Compound of Small Triambic Icosahedron and Dodechedron 5. Left Pentagonal Icosatetrahedron 6. Compound of Left and Right Pentagonal Icosatetrahedra 7. Compound of Three Cubes 8. Compound of Three Tetrahedra 9. Compound of Five Octahedra 10. Wire-frame model of Compound of Two Tetrahedra It also includes an introduction with sections on the mathematics behind the models; a short history of modular origami; a section on tools and folding techniques, and a gallery of the finished models that are presented in the book.

Author : Lewis Simon,Bennett Arnstein,Rona Gurkewitz
Publisher : Courier Corporation
Page : 64 pages
File Size : 50,5 Mb
Release : 2012-03-08
Category : Crafts & Hobbies
ISBN : 9780486137841

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Modular Origami Polyhedra by Lewis Simon,Bennett Arnstein,Rona Gurkewitz Pdf

Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units — from simple modular cubes to a 14-sided cuboctahedron!

Author : Peter Pearce
Publisher : MIT Press
Page : 268 pages
File Size : 41,9 Mb
Release : 1990
Category : Architecture
ISBN : 0262660458

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Structure in Nature Is a Strategy for Design by Peter Pearce Pdf

"The structural designs that occur in nature - in molecules, in crystals, in living cells - appear in this fully illustrated book as a source of inspiration and study of design of man-made structures" -- BOOK JACKET.

Author : Richard C. Ropp
Publisher : Newnes
Page : 1216 pages
File Size : 44,5 Mb
Release : 2012-12-31
Category : Science
ISBN : 9780444595539

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Encyclopedia of the Alkaline Earth Compounds by Richard C. Ropp Pdf

Encyclopedia of the Alkaline Earth Compounds is a compilation describing the physical and chemical properties of all of the alkaline earth compounds that have been elucidated to date in the scientific literature. These compounds are used in applications such as LEDs and electronic devices such as smart phones and tablet computers. Preparation methods for each compound are presented to show which techniques have been successful. Structures and phase diagrams are presented where applicable to aid in understanding the complexities of the topics discussed. With concise descriptions presenting the chemical, physical and electrical properties of any given compound, this subject matter will serve as an introduction to the field. This compendium is vital for students and scientific researchers in all fields of scientific endeavors, including non-chemists. 2013 Honorable Mention in Chemistry & Physics from the Association of American Publishers' PROSE Awards Presents a systematic coverage of all known alkaline earth inorganic compounds and their properties Provides a clear, consistent presentation based on groups facilitatating easy comparisons Includes the structure of all the compounds in high quality full-color graphics Summarizes all currently known properties of the transition metals compounds Lists the uses and applications of these compounds in electronics, energy, and catalysis

Author : Vera Viana,Helena Mena Matos,João Pedro Xavier
Publisher : Springer Nature
Page : 166 pages
File Size : 40,8 Mb
Release : 2022-07-09
Category : Mathematics
ISBN : 9783030991166

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Polyhedra and Beyond by Vera Viana,Helena Mena Matos,João Pedro Xavier Pdf

This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference’s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.

Author : Eric W. Weisstein
Publisher : CRC Press
Page : 3253 pages
File Size : 45,5 Mb
Release : 2002-12-12
Category : Mathematics
ISBN : 9781420035223

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CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf

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 : John Martineau
Publisher : eBook Partnership
Page : 416 pages
File Size : 40,5 Mb
Release : 2020-08-08
Category : Mathematics
ISBN : 9781912706242

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Quadrivium by John Martineau Pdf

The Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. They synthesize number, space, and time. Geometry is number in space, music is number in time, and the cosmos expresses number in space and time. Number, music, and geometry are metaphysical truths, good and beautiful everywhere at all times. Life across the universe investigates them. They foreshadow the physical sciences. This is the first volume to bring together the Quadrivium for many hundreds of years

Author : Antoni P. Tomsia,Andreas M. Glaeser
Publisher : Springer Science & Business Media
Page : 841 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461553939

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Ceramic Microstructures by Antoni P. Tomsia,Andreas M. Glaeser Pdf

This volume, titled Proceedings of the International Materials Symposium on Ce ramic Microstructures: Control at the Atomic Level summarizes the progress that has been achieved during the past decade in understanding and controlling microstructures in ceram ics. A particular emphasis of the symposium, and therefore of this volume, is advances in the characterization, understanding, and control of micro structures at the atomic or near-atomic level. This symposium is the fourth in a series of meetings, held every ten years, devoted to ceramic microstructures. The inaugural meeting took place in 1966, and focussed on the analysis, significance, and production of microstructure; the symposium emphasized the need for, and importance of characterization in achieving a more complete understanding of the physical and chemical characteristics of ceramics. A consensus emerged at that meeting on the critical importance of characterization in achieving a more complete understanding of ceramic properties. That point of view became widely accepted in the ensuing decade. The second meeting took place in 1976 at a time of world-wide energy shortages and thus emphasized energy-related applications of ceramics, and more specifically, microstructure-property relationships of those materials. The third meeting, held in 1986, was devoted to the role that interfaces played both during processing, and in influencing the ultimate properties of single and polyphase ceramics, and ceramic-metal systems.

Author : Sergey Krivovichev,Peter Burns,Ivan Tananaev
Publisher : Elsevier
Page : 504 pages
File Size : 49,6 Mb
Release : 2006-12-08
Category : Science
ISBN : 0080467911

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Structural Chemistry of Inorganic Actinide Compounds by Sergey Krivovichev,Peter Burns,Ivan Tananaev Pdf

Structural Chemistry of Inorganic Actinide Compounds is a collection of 13 reviews on structural and coordination chemistry of actinide compounds. Within the last decade, these compounds have attracted considerable attention because of their importance for radioactive waste management, catalysis, ion-exchange and absorption applications, etc. Synthetic and natural actinide compounds are also of great environmental concern as they form as a result of alteration of spent nuclear fuel and radioactive waste under Earth surface conditions, during burn-up of nuclear fuel in reactors, represent oxidation products of uranium miles and mine tailings, etc. The actinide compounds are also of considerable interest to material scientists due to the unique electronic properties of actinides that give rise to interesting physical properties controlled by the structural architecture of respective compounds. The book provides both general overview and review of recent developments in the field, including such emergent topics as nanomaterials and nanoparticles and their relevance to the transfer of actinides under environmental conditions. * Covers over 2,000 actinide compounds including materials, minerals and coordination polymers * Summarizes recent achievements in the field * Some chapters reveal (secret) advances made by the Soviet Union during the 'Cold war'

Author : Klaus D. Sattler
Publisher : CRC Press
Page : 485 pages
File Size : 45,9 Mb
Release : 2020-11-09
Category : Technology & Engineering
ISBN : 9781000710151

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21st Century Nanoscience – A Handbook by Klaus D. Sattler Pdf

21st Century Nanoscience - A Handbook: Low-Dimensional Materials and Morphologies (Volume 4) will be the most comprehensive, up-to-date large reference work for the field of nanoscience. Handbook of Nanophysics by the same editor published in the fall of 2010 and was embraced as the first comprehensive reference to consider both fundamental and applied aspects of nanophysics. This follow-up project has been conceived as a necessary expansion and full update that considers the significant advances made in the field since 2010. It goes well beyond the physics as warranted by recent developments in the field. This fourth volume in a ten-volume set covers low-dimensional materials and morphologies. Key Features: Provides the most comprehensive, up-to-date large reference work for the field. Chapters written by international experts in the field. Emphasises presentation and real results and applications. This handbook distinguishes itself from other works by its breadth of coverage, readability and timely topics. The intended readership is very broad, from students and instructors to engineers, physicists, chemists, biologists, biomedical researchers, industry professionals, governmental scientists, and others whose work is impacted by nanotechnology. It will be an indispensable resource in academic, government, and industry libraries worldwide. The fields impacted by nanophysics extend from materials science and engineering to biotechnology, biomedical engineering, medicine, electrical engineering, pharmaceutical science, computer technology, aerospace engineering, mechanical engineering, food science, and beyond.

Author : Richard K. Guy,Robert E. Woodrow
Publisher : American Mathematical Soc.
Page : 367 pages
File Size : 43,9 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457310

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The Lighter Side of Mathematics: Proceedings of the Eugene Strens Memorial Conference on Recreational Mathematics and Its History by Richard K. Guy,Robert E. Woodrow Pdf

In August of 1986, a special conference on recreational mathematics was held at the University of Calgary to celebrate the founding of the Strens Collection. Leading practitioners of recreational mathematics from around the world gathered in Calgary to share with each other the joy and spirit of play that is to be found in recreational mathematics. It would be difficult to find a better collection of wonderful articles on recreational mathematics by a more distinguished group of authors. If you are interested in tessellations, Escher, tilings, Rubik's cube, pentominoes, games, puzzles, the arbelos, Henry Dudeney, or change ringing, then this book is for you.

Author : György Darvas
Publisher : Springer Nature
Page : 262 pages
File Size : 55,5 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9783030880590

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Complex Symmetries by György Darvas Pdf

This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts. Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts. The contributions in this volume analyse selected examples (not limited to geometric symmetries). These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as in constructing physical theories), symmetries in fractal structures and structural morphology, including quasicrystal and fullerene structures in stable bindings and their applications in crystallography and architectural design, as well as color symmetries in the arts. The volume is rounded of with beautiful illustrations and presents a fascinating panorama of this interdisciplinary topic.

Author : Anthony Pugh
Publisher : Univ of California Press
Page : 136 pages
File Size : 44,6 Mb
Release : 1976
Category : Mathematics
ISBN : 0520029267

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Polyhedra by Anthony Pugh Pdf

Author : Bruce G. Batchelor
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461341543

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Pattern Recognition by Bruce G. Batchelor Pdf

Pattern recognition is a child of modern technology; electronics and computers in particular have inspired research and made it possible to develop the subject in a way which would have been impossible otherwise. It is a rapidly growing research field which began to flourish in the 1960s and which is beginning to produce commercial devices. Significant developments have been made, both in the theory and practical engineering of the subject, but there is evidence of a schism developing between these two approaches. Practical machines have usually been designed on an ad hoc basis, with little use being made of advanced theory. It is difficult to provide a rigorous mathematical treatment of many problems pertinent to a practical situation. This is due, in part at least, to a conceptual rift between theory and practice. The mathematics of optimal systems is well developed, whereas pragmatists are more concerned with vaguer ideas of reasonable and sufficient. In some situations, the quest for optimality can constrain research and retard practical progress. This can occur, for example, if too narrow a view is taken of "optimal": the accuracy of a system may be optimal whereas its speed, cost, or physical size may be grossly suboptimal. The objective of this book is to present a glimpse of the pragmatic approach to pattern recognition; there already exist a number of excellent texts describing theoretical developments.