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by Alan Holden

Download Shapes, Space, and Symmetry (Dover Books on Mathematics) fb2, epub

ISBN: 0486268519
Author: Alan Holden
Language: English
Publisher: Dover Publications (March 14, 2012)
Pages: 208
Category: Mathematics
Subcategory: Science
Rating: 4.2
Votes: 852
Size Fb2: 1839 kb
Size ePub: 1583 kb
Size Djvu: 1569 kb
Other formats: mobi rtf lit lrf


Only 9 left in stock (more on the way). Since most math courses in high school do not discuss these shapes, this book was perfect for learning about the topic.

This book collects 12 articles by Coxeter, already published in various mathematics technical journal but would be quite tedious to collect for one's pleasure.

Only 5 left in stock (more on the way). This book collects 12 articles by Coxeter, already published in various mathematics technical journal but would be quite tedious to collect for one's pleasure. Each explains fascinating connections between exceptional discrete groups, polyhedra, graphs, sphere packings, projective spaces. All carry the particular favour of HSM Coxeter mathematics with his love of polyhedra and of their geometry. Starting points are often elementary but conclusions and connections are worthwile aven for today mathematics.

Download Shapes, Space, and Symmetry (Dover Books on Mathematics) PDF. David Danley.

When I was studying mathematics at college, I also took some design and photography courses because I love the connection .

When I was studying mathematics at college, I also took some design and photography courses because I love the connection between math, design and the universe.

Автор: Holden Alan Название: Shapes, Space, and Symmetry .

1992 Серия: Dover books on mathematics Язык: ENG Издание: New ed Иллюстрации: 100ill. At the end of the book the author includes a section containing instructions for constructing cardboard models.

Shop for Book Of Abstract Algebra (dover Books On Mathematics). An Introduction to Linear Algebra and Tensors by M. A. Akivis Eminently readable and completely elementary, this treatment begins with linear spaces and ends with analytic geometry. Starting from Choose from the 4 best options & compare live & historic book prices. Category Theory Theoretical Computer Science Natural Number Dover Publications Science Topics Books To Read Good Books Any Book Objects. Additional topics include multilinear forms, tensors, linear transformation, eigenvectors and eigenvalues, matrix polynomials, and more.

Shapes, Space, and Symmetry (Dover Books on Mathematics). This book is beautiful. It is easy to read and the ideas are beautifully illustrated through photos of models created by the author, a real feat given the 3D subject

Shapes, Space, and Symmetry (Dover Books on Mathematics). It is easy to read and the ideas are beautifully illustrated through photos of models created by the author, a real feat given the 3D subject. A guide for building the models is included; as the author states, the best way to learn about these shapes is to build them. The book carefully and succinctly guides the non-mathematician through fascinating and illuminating transformations of regular polyhedra using their symmetries and duality. For the artist or craftsman who wants to make something inspired by polyhedra, this book is perfect.

Shapes, Space, and Symmetry. Writing for the layman as well as the student or professional in mathematics, Alan Holden explains the structure of the figures and demonstrates how they can be used to explain mathematics visually rather than by symbol systems, an effort hailed by Scientific American magazine as "a victory of clear, connected thinking over the theorematic method.

Shapes, Space, and Symmetry book . Published March 14th 2012 by Dover Publications (first published April 1st 1973). Shapes, Space, and Symmetry.

Items related to Geometry and Symmetry (Dover Books on Mathematics)

Items related to Geometry and Symmetry (Dover Books on Mathematics). Paul B. Yale Geometry and Symmetry (Dover Books on Mathematics). ISBN 13: 9780486657790. Geometry and Symmetry (Dover Books on Mathematics).

"Altogether a most instructive, entertaining, and esthetically pleasing book." — Science.Since the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three-dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably diverse ways by engineers and builders, chemists and crystallographers, architects and sculptors.This book describes very clearly and simply, and illustrates with beautiful photographs of models, a great number of three-dimensional figures, all but a few consisting of plane faces bounded by straight lines. It examines the nine regular solids — the five commonly called Platonic, described by Theaetetus in the fourth century B.C., and the four called Kepler-Poinsot, two each of which were discovered by Kepler and Poinsot many centuries later. And it examines many variations obtained by truncation, stellation, dualization, and compounding.Writing for the layman as well as the student or professional in mathematics, Alan Holden explains the structure of the figures and demonstrates how they can be used to explain mathematics visually rather than by symbol systems, an effort hailed by Scientific American magazine as "a victory of clear, connected thinking over the theorematic method." At the end of the book the author includes a section containing instructions for constructing cardboard models.

Comments:

Flamekiller
This book is beautiful. It is easy to read and the ideas are beautifully illustrated through photos of models created by the author, a real feat given the 3D subject. A guide for building the models is included; as the author states, the best way to learn about these shapes is to build them. The book carefully and succinctly guides the non-mathematician through fascinating and illuminating transformations of regular polyhedra using their symmetries and duality.

For the artist or craftsman who wants to make something inspired by polyhedra, this book is perfect. This is one of my favorite books because every time I pick it up I have a new idea for something to make.
Hiylchis
Filled with photos and good information on polyhedra. Since most math courses in high school do not discuss these shapes, this book was perfect for learning about the topic.
Ygglune
Detailed text, many photographs of a large collection of well made models and clear figures bound together by concise, casual text. If you are interested in solid geometry for any reason, this book belongs in your collection.
Gathris
gave me a much better understanding of the variety of 3D forms. Very methodical. Shame the cover doesnt do it justice. Look inside !
Daron
This well-made and inexpensive book is brim-full of pictures of Alan Holden's models of polyhedra. It is a book for the hobbyist and the enthusiastic closet Pythagorean, more than it is for the professional mathematician. It is especially useful as an introduction to Archimedean star polyhedra, which are surely as beautiful as anything in geometry, and which were not fully catalogued until the 1950s.
If you find this material as compellingly fascinating as I do, you may want to follow up this book with these two:
"Polyhedron Models," by Magnus Wenninger, has a more thorough and systematic treatment of the Archimedean star polyhedra than Holden's book. These include some incredibly complicated models of "snub" star polyhedra -- spectacular stuff that is not included here. (On the other hand, Wenninger's book costs a good deal more.)
"Regular Polytopes," by H.S.M. Coxeter, is an elegantly written introduction to polyhedra in 3 and 4 dimensions. Coxeter himself wrote the first systematic treatment of the Archimedean star-polyhedra, and helped to discover the last few in the process. This book's illustrations are nowhere near as nice as the other ones', but this is balanced by its more rigorous mathematical treatment of the theme. Somebody needs to come up with a better way (using computer graphics?) to illustrate higher-dimensional polyhedra. In the meantime, this inexpensive book is the best I know on the subject.
Gavinranara
This book illustrates many beautiful ideas through photographs of paper models with concise commentary. First the regular polyhedra, of course, followed by variations of the models that brings out their duality and symmetry properties. We also study how the regular polyhedra can be compounded, inscribed in each-other, and pasted together along a common cross-section ("when halves of the Platonic solids having the same cross-sections come together, monsters are born"). We also study truncating the regular polyhedra to obtain the semi-regular polyhedra, stellating to obtain non-convex regular solids, and faceting to obtain non-convex semi-regular polyhedra. There is a deplorably short but somewhat useful section with practical advice on building models. "Suitable cardboard is of the sort used for mounting photographs, and suitable glue is a 'white glue' of the sort exemplified by 'Elmer's Glue-all' ... For several hours the joints remain sufficiently flexible to permit adjustment of the dihedral angle". It's a pity that we are advised to construct the sides of the regular polyhedra by unromantic means; equilateral triangles are to be made using "a draftsman's 30-60-90 triangle" and the construction of a regular pentagon "requires a guide made of heavier cardboard, such as an illustration board, with two edges meeting at the desired angle"---obviously you will want to construct the faces using ruler-and-compass constructions.
Uickabrod
Alan Holden must be a very dedicated man. This short book on polyhedra is filled with pictures of intricate paper models, all made by the author. In the final section, showing how to construct similar models, one can see a photo of his workshop with hundreds of models arrayed neatly on shelves behind him. This book was clearly a work of love.
Most of the book is occupied with a treatment of regular and semiregular polyhedra, prisms and antiprisms. These are examined in some depth--for example, all nine regular polyhedra are constructed. The last fifty pages introduce other topics, such as packing, lattices, and knots; the treatment here is very brief, somewhat disappointing and leaving a desire for more depth. The same can be said of the final section, on construction--Holden gives general guidelines but leaves the reader to compute the dimensions of all the faces of his models himself.
The prose is clear and concise, rare for a mathematics book. But the real substance lies in the photographs of polyhedra models. These are contructed in such a way that it is always easy to see the details of the solid: faces of different shapes are made of different shades of paper, complicated models are shown in intermediate stages of construction, polyhedra to be compared (such as duals) are shown as individuals and interpenetrating. The great icosidodecahedron photo on page 112 (or its companion that might go by the same name on page 98) is almost worth the price of the book by itself.
This is not a rigorous treatment of the subject, but it is a beautiful one.

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