An Adventure in Multidimensional Space

An Adventure in Multidimensional Space PDF Author: Koji Miyazaki
Publisher: Wiley-Interscience
ISBN:
Category : Art
Languages : en
Pages : 128

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Book Description
This lavishly illustrated volume provides a strikingly visual approach to geometric shapes and transformations in 2- ,3- , and 4-dimensional space. Invoking Plato's polygons, Kepler's polyhedra, and Fuller's polytopes, the author presents, by means of hundreds of beautiful illustrations (100 of them in full color), many complex designs which may be found in nature or which may be produced by computer graphics programs. This self-contained work reveals how polygons, polyhedra, and polytopes are effective tools or hieroglyphs with which we may investigate and describe the macro, medio, and micro worlds or the multi-dimensional world without any telescope or microscope and without requiring guidance from others. Forewards by Buckminster Fuller and H. S. W. Coxeter.

An Adventure in Multidimensional Space

An Adventure in Multidimensional Space PDF Author: Koji Miyazaki
Publisher: Wiley-Interscience
ISBN:
Category : Art
Languages : en
Pages : 128

Get Book Here

Book Description
This lavishly illustrated volume provides a strikingly visual approach to geometric shapes and transformations in 2- ,3- , and 4-dimensional space. Invoking Plato's polygons, Kepler's polyhedra, and Fuller's polytopes, the author presents, by means of hundreds of beautiful illustrations (100 of them in full color), many complex designs which may be found in nature or which may be produced by computer graphics programs. This self-contained work reveals how polygons, polyhedra, and polytopes are effective tools or hieroglyphs with which we may investigate and describe the macro, medio, and micro worlds or the multi-dimensional world without any telescope or microscope and without requiring guidance from others. Forewards by Buckminster Fuller and H. S. W. Coxeter.

An Adventure in Multidimensional Space; the Art & Geometry of Polygons, Polyhedra, & Polytopes,bby Koji Miyazaki

An Adventure in Multidimensional Space; the Art & Geometry of Polygons, Polyhedra, & Polytopes,bby Koji Miyazaki PDF Author: Kōji Miyazaki
Publisher:
ISBN:
Category : Form (Aesthetics)
Languages : en
Pages : 0

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Book Description


Going Home

Going Home PDF Author: Tab L. Uno
Publisher: Dorrance Publishing
ISBN: 1637642458
Category : Fiction
Languages : en
Pages : 234

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Book Description
Going Home: A Multi-Verse Adventure By: Tab L. Uno It was supposed to have been the most amazing discovery of alien life after four years in space. But now, the research crew of the Stellar find themselves stranded thousands of light-years from home with nothing to show for their efforts. And worse yet, the crew would be hurtled, careening into space itself, and find themselves lost in multi-dimensional worlds, all the while facing an awesome force that threatens to devour the entire universe. Going Home: A Multiverse Adventure is the story of space exploration, the power of love, compassion, and empathy and man’s ability to sacrifice himself for others. But above all, it is a story of hope.

The Visual Mind II

The Visual Mind II PDF Author: Michele Emmer
Publisher: MIT Press
ISBN: 9780262050760
Category : Art
Languages : en
Pages : 742

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Book Description
"This collection of essays by artists and mathematicians continues the discussion of the connections between art and mathematics begun in the widely read first volume of The Visual Mind in 1993."--BOOK JACKET.

Connections

Connections PDF Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9810245858
Category : Mathematics
Languages : en
Pages : 519

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Book Description
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.

Connections: The Geometric Bridge Between Art & Science (2nd Edition)

Connections: The Geometric Bridge Between Art & Science (2nd Edition) PDF Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9814491322
Category : Mathematics
Languages : en
Pages : 519

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Book Description
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.

Shadows of Reality

Shadows of Reality PDF Author: Tony Robbin
Publisher: Yale University Press
ISBN: 0300129629
Category : Art
Languages : en
Pages : 151

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Book Description
In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.

锦绣盈门 下(英文版)

锦绣盈门 下(英文版) PDF Author: 暗香
Publisher: 露露
ISBN: 1304673782
Category : Comics & Graphic Novels
Languages : en
Pages : 1154

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Book Description
Zi Jin got up. When Zi Jin got married, she agreed that her biological mother, Aunt Wu, would be the mother in charge. However, something happened to her son before the wedding, so she would be late. The genius can come, and Zi Jin estimates that it will come within a few days. With Zhou's mother here, the old lady's backup force for Zi Jin has also arrived. Zi Jin feels much more at ease thinking of this.

King of Infinite Space

King of Infinite Space PDF Author: Siobhan Roberts
Publisher: Bloomsbury Publishing USA
ISBN: 0802718329
Category : Mathematics
Languages : en
Pages : 420

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Book Description
"There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." -Brian Greene, author of The Elegant Universe The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives-from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century. Many of the greatest names in intellectual history-Pythagoras, Plato, Archimedes, Euclid- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions-his famed Coxeter groups and Coxeter diagrams-have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational. Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

The Man Who Saved Geometry

The Man Who Saved Geometry PDF Author: Siobhan Roberts
Publisher: Princeton University Press
ISBN: 0691264740
Category : Biography & Autobiography
Languages : en
Pages : 416

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Book Description
An illuminating biography of one of the greatest geometers of the twentieth century Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter’s life and work, placing him alongside history’s greatest geometers, from Pythagoras and Plato to Archimedes and Euclid—and it reveals how Coxeter’s boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.