Book Description
Step-by-step instructions and 970 clear diagrams show beginning and experienced paperfolders how to create 27 amazing polyhedra from one sheet of paper. Graded according to difficulty, the projects range from a simple cube, tetrahedron and octahedron to a challenging rhombic dodecahedron, sunken icosahedron, and an antidiamond with pentagonal base.
Customer Reviews:
This book is really cool........2004-02-17
I really liked this book because it explains how to do all of the complicated folds. It also shows you a picture for each step so you can see what to do. I do not think that beginners should start with this book because some of the folding steps are a little hard to follow.
A Plethora of Precreasing - Single-sheet shapes!.......2003-04-04
Fans of John Montroll's other books will know that he tends to follow a fixed set of ideas. These are that the paper should be square and that only one sheet should be used. Outside of a few basic shapes (cubes and pyramids mostly), the use of a single sheet in creating polyhedra is not very widespread. Montroll uses this book to show up that it needs not be the case.
Montroll shows how a single sheet of paper can be folded into more complex polyhedra including skeletal forms.
These models all follow a basic pattern of precreasing the paper to isolate the polyhedron's sides, and then collapsing the paper into the 3D model. Very interesting techniques, and Montroll seems to get the largest possible solid from the paper, but the single-sheet design does lose something in solidity. Many multi-piece models are very strong, but that is not the case here. However, if you like geometrics but could not bring yourself to fold 30 to 180 pieces of paper for a single model, you will love this book.
Succint.......2002-04-18
For a long time the folding of polyhedras and other variations is dominated by modular origami, a category of paperfolding that models are assembled by many units of the same form. Such technic has been developed into a wildly splended state, for example, see books of Lewis Simon or Tokomo Fuse. However, in this book Montroll still insists on his long-time philosophy-- one single square paper, two hands, nothing else.
The best part of this book, in my opinion, is the 5 Plato polyhedras plus the 5 sunken Plato polyhedras, all folded by a single square paper. This is a succint approach, although not new. And the intrinsic beauty of these models explains everything. Other parts of this book are fair enough, for example, prisms and other models are relatively new compared to other polyhedra origami books.
Since every model is folded by one square, it seems that we can not hope to have some super-complex models. After all, the special symmetry structures of polyhedras do hinder the design of the folding-- in order to keep symmetry it will waste too much paper. So it is a pity for those super-hard-model-addicts.
BTW, I am happy that after so many years Montroll finally comes to Mathematics!
Fold polyhedra using a square.......2002-04-15
Although folding polyhedra is not my favourite, nevertheless I do indulge in it.
Most of the polyhedra are folded as modulars. John Montroll folds them using a single square. Quite a challenge since most of the models are not simple to fold.
Models in this book include tetrahedron, cube, octahedron, icosahedron, decahedron, double diamond hexhedron, triangular dipyramid, pentagonal dipyramid, hexagonal dipyramid, heptagonal dipyramid, triangular prism, pentagonal prism, hexagonal prism, sunken platonic solids and many others.
I prefer folding polyhedra using modular techniques since they end up much more colourful. In this book polyhedra are folded using a square and hence only in one colour.
At the end of the book, Montroll gives suggestions on how to expand on the techniques he uses in this book to create your own one piece polyhedra.
Yes, I recommend this book for polyhedra enthusiast.
Book Description
With step-by-step diagrams, detailed instructions and over 70 photographs in vibrant full-color, internationally-renowned origamist and author Tomoko Fuse offers an innovative approach to origami based on assembling separate, multi-dimensional shapes into one structure.
Some of the shapes, like pyramids or four-sided boxes, are simple to master, even for a beginner. Others are quite complex and require much more experience and proficiency. Fuse uses a system to indicate the level of difficulty for each project with one, two or three stars, so the reader knows from
the start, how challenging a project is likely to be.
Customer Reviews:
Required reading for modular folders.......2007-09-30
If you're into making geometric solids then this book is a necessary compendium. You must own this!
I especially enjoyed the linked cubes-- the structures are quite solid and well put-together.
Great Photos.......2007-01-24
This is a beautifully presented book with wonderful models and photos. But a lot of the units are repeats if you already own Fuse's all time best book Unit Origami - Multidimensional Transforms. About a third of the book is materials from her Unit Origami book. Additionally there are a few beautiful dodecahedra and several other units. Overall it is a must-have if you are a modular origami lover.
Extraordinary.......2007-01-16
Really, I believe this is one of Tomoko Fuse best books I've ever seen. Great pictures fully and well explained, English is not my native language but it results pretty easy to understand it.
The book's design is so cool, I just can't wait to do any of the projects inside... I encourage every one who like Origami to buy it.
Even, each project it's labeled with a difficulty level category starting at one star to three stars. But all the proyects are so well explained that if you have a little folding experience you will find easy to build them.
Book Description
Whereas Sacred Geometry introduced readers to two-dimensional forms, Platonic & Archimedean Solids presents the world of three dimensions, which was understood as early as neolithic time. Daud Sutton elegantly explores the eighteen forms—from the cube to the octahedron and icosidodecahedron—that are the universal building blocks of three-dimensional space, and shows the fascinating relationships between them. For anyone interested in design, architecture, and mathematics, this will be a delight.
Customer Reviews:
Wooden's done it again.......2007-07-11
I believe the Wooden Book series is just amazing. Great ideas, and reasy to understand.
I read the book about the Harmonograph, but I believe this book is better.
I really enjoyed learning about what the Platonic Solids are. I really enjoyed the simple proof to why there can only be fine Platonic Solids, too. That is amazing.
My friends wanted me to shut up by the time I was finished with this book, because I talked about it so much. I used it for a College Geometry project, and it really helped.
I recommend this book to anyone who wants to know about mathematical topics that not many people hear about, but at the same time, want an easy read.
A concise, elegant introduction to the geometry of polyhedra........2006-03-16
This is a charming little book. It's very concise, profusely illustrated, and it covers the basic geometry of platonic and archimedean solids. It delightfully summarizes the work of Plato/Theaetetus, Archimedes, Euclid, Kepler, and Euler in only 57 pages, half of which contain only illustrations. As a model-builder who attaches no special religious significance to polyhedra, I was a little concerned when I looked at the other books in the series that this book might be about "sacred geometry." Fortunately (at least from my point of view) it does not contain a word about it, except for a cursory reference to the elements Plato associated with each of the Platonic Solids. A table at the end includes the dihedral and central angles and edge/radius ratios for all the platonic and archimedean solids--all the info a model builder needs! This book won't impress anyone with a mathematics background, but for a layman like me, it's a perfect introduction. Kudos to Sutton for putting this material in such an elegant and accessible format!
Average customer rating:
- GEODESIC MATH AND HOW TO USE IT, excellent reference book...
- Geodesic Math
- Geodesic Math And How To Use It... Back In Print!
- Geodesic Math and how to Use It
- You know *what*, now find out *how*
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Geodesic Math and How to Use It
Hugh Kenner
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ASIN: 0520239318 |
Book Description
It was 1976--twenty-five years after R. Buckminster Fuller introduced geodesic domes when literary critic Hugh Kenner published this fully-illustrated practical manual for their construction. Now, some twenty-five years later, Geodesic Math and How to Use It again presents a systematic method of design and provides a step-by-step method for producing mathematical specifications for orthodox geodesic domes, as well as for a variety of elliptical, super-elliptical, and other nonspherical contours.
Out of print since 1990, Geodesic Math and How To Use It is California's most requested backlist title. This edition is fully illustrated with complete original appendices.
Customer Reviews:
GEODESIC MATH AND HOW TO USE IT, excellent reference book..........2005-09-29
Seemed over-technical at 1st, but after about a year has been my reference book on geodesics & making all kinds of geodesic domes... It lists chord factors (lengths of segments before applying radius of dome) on tables to 7 decimals for various domes @ the end of the book if you don't want do calculate w/formulas provided. If your familiar with trigonometry, it will let you jump around chapters that are of more interest.
This book was originally copyrighted in 1976, but not edited for this 2nd paperback 2003 Edition (glossy color cover). The author, Hugh Kenner (1923-2003), has compiled a very thorough book. Very well written & explained in orderly fashion with excellent general layout & (especially for the time) detailed diagrams plus cross page-references. IMO there is very little that I would change except for replacing current diagrams with modern CAD generated illustrations, that's about it.
Has 172 pages with several blank pages for notes (I note in the wide margins instead) & is 8.7 x 8.7 x 0.5 inches. Not a small book but not a big bulky one either. Makes for a lot of information handy to store just about anywhere...
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I found many formulas & shortcuts throughout the book. From Chapter 12 I plotted a 16 frequency (# of divisions making total # of triangles) icosahedron (the typical geodesic polyhedron shape) dome with 3880 chords or "struts". Even made them into arcs for a perfectly round sphere. Chapter 12 has "Using the Tables" with a simple symmetric triangle xyz-grid on a spreadsheet. Each chord calculated does not rely on another chord's result, so chance of error is greatly reduced. Chapter 14 "Truncations" has "Truncation by Rotation", which saves time on calculating the rest of the chords in dome, or moving chords by their symmetry.
This "still nicely" bound book after a lot of use covers tension & tensegrities, subdivisions, great circles, symmetry & breakdowns, choosing a polyhedron, spherical coordinate system, ellipses & superellipses, truncations, space frames & many kinds of angles - plus charts & other resources @ the end.
A free program on the web called Windome is useful to 8 decimals, but lacks input parameters like radius... So I use it to verify chord factors. From 2-16v involving about 12,240 chords plotting all verified (to 15 digits) on 1st try. Besides spreadsheets, formulas can be used in programming like "The R Project", formulas & programs are also written for old Hewlett-Packard HP-35, 21 & 45 series calculators & programs filed with the HP-65 library (circa mid-1970's). I guess it also goes to show Hewlett-Packard has a history in the PC & hardware programming business...
One thing - spherical coordinate symbols for Theta & Phi are switched, though referenced in correct order (check Mathworld). Easy to correct, just read "Phi symbol" as Theta & "Theta symbol" as Phi - references & formulas will be in order. This book was written in mid-1970's, guess more? people then used this as convention.
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There are many good free sources on the web for geodesic domes & math plotting through Cartesian x,y,z and/or spherical Theta, Phi coordinates using basic trigonometry. This book cost me $13.57 shipped free brand new & is WELL worth it, even after searching the web...
A final word of caution on building materials for domes in general: if you use wood make sure you take extra fireproofing precautions, unless it's a temporary frame. 2 domes here in town (on same lot) burnt down before fire department got to them - and they were right down the street! The intense heat from both fires left nothing except the slab & melted everything.
So, when they start to burn there is very little time to exit the structure. As energy efficient as they are, the same design allows for a very efficient combustion, especially with wood stud frames & panels. Other problems arise as well with ventilating interior wood frames to help prevent condensation.
There are many other materials that will not burn that could make up the panels (like from American Ingenuity, Inc.), or even a monolithic concrete pour over a temporary plastic covered geodesic wood frame. Another method that doesn't use geodesics is a "monolithic shotcreted airform dome" (from a company called Monolithic Dome Institute).
Geodesic Math.......2003-10-31
The subject very well presented and in a way that is easy to understand. Gives the underlying math to be able to use our modern computers setting on our desk tops to go far beyond what one person could do 25 years ago.
Geodesic Math And How To Use It... Back In Print!.......2003-04-14
Well, the time has come for the pirates to take a hike. UC Press is reprinting this book. The information I have indicates both hard and softcover bindings...It will be available this year (2003).
Geodesic Math and How To Use It is an extremely well written book, and with the NASA papers, forms the "canon of applied geodesic math." It is a great book, well written and useful.
Geodesic Math and how to Use It.......2002-09-12
I have been researching geodesics for a while and have found this book valuable in understanding the subject, however, I would suggest downloading some of the NASA tech briefs about geodesic math (and its free) before spending this amount of money on a book. There are several online sources of info to help the novice.
You know *what*, now find out *how*.......2000-05-20
Hugh Kenner's book is the bible of geodesy. While other books provide you with tables and some of the rudiments of the theory of geodesic domes, 'Geodesic Math and How to Use it' gives you a first-principle look at how domes are developed from a mathematical/geometrical point of view. Most importantly, Kenner introduces the reader to a novel metric for both describing the location of geodesic points in space and calculating their exact positions, so you can develop your own chord factors rather than relying on tables without understanding the underlying math.
Average customer rating:
- polyhedron models
- The definitive guide to uniform polyhedra
- The most definitive modern work of polyhedra I've seen
- Let patience (and beautiful models) be your reward-
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Polyhedron Models
Magnus J. Wenninger
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A Plethora of Polyhedra in Origami
ASIN: 0521098599 |
Book Description
Models of the regular and semiregular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, ‘uniform’ polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms. Fully illustrated with drawings and photographs, this is the first practical guide to making these intricate and beautiful solids.
Customer Reviews:
polyhedron models.......2005-10-28
My 8th grade math teacher let me borrow this book for the summer. I enjoyed making the modles, some of the more complex ones I havent been able to do but most are farly simple and easy to compleat with pacence
The definitive guide to uniform polyhedra.......2000-06-13
This book contains a detailed description of how to make (paper) models of each of the 75 uniform polyhedra, as well as some stellated polyhedra. Wenninger's descriptive and precise writing style is invaluable--his advice on construction methods and techniques are right on the mark. In nearly all cases, he provides sufficient data to allow the reader to draw his/her own templates, but especially in the most complex polyhedra the facial plane data is lacking, most likely because it is too lengthy to include. I would like to have seen more math in this text, and larger photographs. Otherwise, this is a must-have book for anyone interested in polyhedra.
The most definitive modern work of polyhedra I've seen.......1998-07-03
I have been fascinated with these structures since my disciovery of this book in 1980. Magnus is a fine builder of models and a competent teacher. The explanations for building each model are concise. I also compliment the photographer. As one begins to understand the underlying principles of these solids, a vast array of options present themselves as topics of further study.
Let patience (and beautiful models) be your reward-.......1996-12-19
Since I discovered this book, I've easily spent hundreds of
hours building these wonderful polyhedra. With a good
general guide to model building and clear instructions,
patterns and pictures of the completed model -- the book
provides the raw material for a great hobby. The completed
models are a continuing fascination, the relations between
polyhedra and their symmetry can really only be appreciated
when you have the models in your hands. While I loved
building some of the over 120 models, it requires patience,
a steady hand and practice.
Average customer rating:
- Quite charming book on polyhedra
- Little Gem
- An excellent introduction to Archimedean Star Polyhedra
- A beautiful, simple and elegant book on polyhedra
|
Shapes, Space, and Symmetry
Alan Holden
Manufacturer: Dover Publications
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ASIN: 0486268519 |
Book Description
This book explains the structure of the 9 regular solids, including the tetrahedron, cube, octahedron, dodecahedron, and icosahedron, plus many semiregular solids. It demonstrates how they can be used to explain mathematics visually rather than by symbol systems, and includes instructions for constructing cardboard models. Over 300 illustrations. 1971 edition.
Customer Reviews:
Quite charming book on polyhedra.......2006-11-23
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.
Little Gem.......2002-01-19
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.
An excellent introduction to Archimedean Star Polyhedra.......2001-02-14
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.
A beautiful, simple and elegant book on polyhedra.......1998-11-01
A friend of mine lent me this book in 1975. (I still haven't given it back). Although this 200 page book is very simply and clearly written, I have never been able to sit down and read it from start to finish. Each part I read makes me stop and contemplate. After 24 years I still find new things in it! The book starts out describing the five Platonic solids. Next it explores the dualities: between the octahedron and cube, between the dodecahedron and icosohedron, and between the tetrahedron with itself. Holden talks about solids discovered by Kepler and Poinsot, space filling solids other than the cube, Nolids, lattices and a whole lot more. He also describes how to make your own models with cardboard and Elmers' glue. Doug Kendall's photographs of Holden's models are very pleasing. This is my favorite book.
Book Description
Explore the link between paperfolding and mathematics with this unique, well-illutrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Photographs, diagrams, and charts show how to apply mathematical principles to the origami waterbomb base to create geodesic forms. Detailed instructions, clear diagrams.
Customer Reviews:
Very confusing paperweight (if it was thick enough).......2004-05-14
After reading Tomoko Fuse's excellent book on Unit Origami I wanted to get a little farther into it. This books seemed a good place to start. It is not.
On the plus side, there are many, many models in the book. Also, there seems to be some fundamental "theory" that generates them, which would allow a great deal of flexibility and range of design to anyone who used it.
On the negative side, I can't for the life of me figure out how to make even a single model. The whole first 3/4 of the book consists of things like this: A line drawing of a polyhedron labelled, for instance, "Rhombicuboctahedron" and then a photo of an origami pice that doesn't seem related. Finally on page 40 (of ~75) there's a second on "Model Construction". It turns out you need paper in multiple sizes (1.6875 inches is one of them) to make almost all the models. And it still doesn't explain just how to put the units together or even how to make the units (other than "this is how to make a flat hexagon" type of instructions)!
There's also some kind of method or technique called "gyroscoping" that I can't figure out.
I would give this 0 stars, but the other review is so positive that I feel sure that, if one could penetrate the dense prose sections or understand the seemingly-content-free main body, great things could be done.
Origami for the serious Geometrician.......2003-04-23
This is a book designed for constructing geometric models using small folded units or modules. A large number of polyhedra are explained in this volume.
The beginning of the book (first 50 pages or so), talks about the different classes of figures and give detailed information about each figure, including photographs.
There is then a short section devoted to creating different shapes of paper from squares (triangles, pentagons, hexagons, etc.).
Finally there is a section for folding the individual units themselves. Each unit is capable of connecting to the others.
There is an interesting feature that I would like to see in other unit books. After a particularly well-detailed unit, there was a one-page summary of the folding thus making it easier on the folder who does not memorize the unit and just needs a guide while folding the requisite number of units.
This is a well laid out book that does an excellent job of covering the material and achieves is goal. But this is not a book for all folders. It is aimed at the serious folder of geometric solids.
The typical low price from Dover makes this an easy volume to add to one's origami or geometry library.
Book Description
Step-by-step instructions and clearly detailed diagrams enable origamists to build over 35 different polyhedra from origami units. Fascinating models range from relatively simple modular cubes to more advanced two-piece modules, a gyroscope, and a 14-sided cuboctahedron. Subjects will challenge devotees of the craft, and can demonstrate geometric principles in the classroom.
Customer Reviews:
Origami book.......2005-10-14
I was really disapointed over this book. The drawings was to unclear and difficult to understand. And I am very sorry that I am not able to use this book.
Terrible...even for an experienced folder.......2005-06-12
I have been doing origami for about 10 years, and have had great success with modular origami (mostly from "Unit Origami" by Tomoko Fuse). This book has diagrams that are hard to understand, the colored side of the paper is not even marked so it's very difficult to know if you are folding correctly. There are no written instructions, only the bad diagrams and I could not make a single model from this book. Even the few photos of the completed models were in black and white and not very good photos at all. I would recommend Fuse's book or another modular origami book with better diagrams. For those that have had success with models from this book, congratulations, but even with my usual vast amount of patience it did not take long for me to throw this book across the room in frustration. However, I will say that the models are very unique and beatiful and if you can do them, they should be very satisfying. I am copying this same review for "3-d Geometric Origami" by Gurkewitz and Arnstein, for I felt the same was true of that book.
Knifty models confusingly presented.......2000-10-10
That rating is really 3 1/2 stars, because the book is better than just average. It may look slim, but it's chock-full of several models in each of many families of modules. Not hours, but weeks of fun (not to mention a lot of paper squares).
The problem is the presentation. Many models are hard to follow, especially when trying to put them together; more than once, I had to refer to another book to figure out what to do. Some diagrams are confusing, if not outright wrong (3-dimensional pictures are especially prone to this). Occasionally instructions are alluded to (e.g., in captions) that aren't there. There's a complete absence of cross-references between illustrative photos and instructions for folding them.
In short, a frustrating book. If the good parts weren't so good, it wouldn't be quite so frustrating.
Beautiful Models for Expert Folders.......2000-03-30
This book bursts with stunning models of various polyhedra. The directions, and models, are harder than in "Modelar Origami Polyhedra." The book opens with a nicely detailed section of polyhedra facts, including the numbers of edges, corders, face shapes and category of each shape, along with a definition of Platonic solids. For the non-mathematician, this information provides a nice grounding in polyhedra. The directions for each module are complicated yet clear. Occasionally the lack of color in the book proves a bit frustrating, but patience and double-checking can bypass that nitpicky problem. The one thing this book does not provide is guidance about connecting all of the modules. That is when authorial reassurance is most required! Nevertheless, this book will provide hours of pleasure for those with patience and nimble fingers.
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An Introduction to Tensegrity
Anthony Pugh
Manufacturer: Univ of California Pr
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A. Loeb
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ASIN: 0817635882 |
Book Description
"Space is not a passive vacuum; it has properties that constrain the patterns that exist within it." Thus does the author set the stage for a broad presentation of and informal introduction to the properties of polyhedra, such as the molecule Buckminsterfullerine. The book has a simple fundamental quality of viewpoint and treatment that gives it an unusually widespread applicability for those who share a common interest in analyzing and designing spatial structures or networks. Architects, crystallographers, artists interested in aspects of design science - as well as mathematicians, physicists, chemists, and biologists, will find here a classic and beautiful presentation of an art form, developed from rigorous mathematics and basic parameters such as dimensionality, extent, and valency. Students in all these fields, many of whom come to Professor Loeb's Department of Visual and Environmental Studies for an introduction to design science, will find the book a marvelous text.
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