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Beginner's Book of Modular Origami Polyhedra: The Platonic Solids
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by
Rona Gurkewitz, Bennett Arnstein
This book by an expert presents a clear, concise introduction to the special techniques for creating complex polyhedra models. Based on the classic Platonic solids, these 17 projects are appropriate for folders at all levels. Step-by-step diagrams offer detailed views of the models' assembly, and photos depict completed models.
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Euler's Gem: The Polyhedron Formula and the Birth of Topology
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David S Richeson
Leonhard Euler's polyhedron formula describes the structure of many objects - from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. "Euler's Gem" tells the illuminating story of this indispensable mathematical idea. From ancient Greek ...
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Platonic & Archimedean Solids
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Daud Sutton (Illustrator)
Whereas "Sacred Geometry" introduced readers to two-dimensional forms, this book presents the world of three dimensions, a concept that was understood as early as Neolithic times. Illustrations.
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Geometric Folding Algorithms: Linkages, Origami, Polyhedra
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by
Erik D Demaine, Joseph O'Rourke
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past ...
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Geodesic Math and How to Use It
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by
Professor Hugh Kenner
Twenty-five years after geodesic domes were first introduced, this text presents a 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.
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Modular Origami Polyhedra: Revised and Enlarged Edition
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by
Lewis Simon, Bennett Arnstein, Rona Gurkewitz
Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units -- from simple modular cubes to a 14-sided cuboctahedron!
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Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality
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Rona Gurkewitz, Bennett Arnstein
Explore the link between paperfolding and mathematics with this unique, well-illustrated 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 ...
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Mathematical Origami
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by
David Mitchell
Origami is the art of paper folding without the use of scissors or glue. Each of the mathematical shapes described in this book can be made by folding standard sheets of A4 paper. The author gives clear step-by-step instructions for each shape.
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Notes on Rubik's Magic Cube
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by
David Singmaster
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Flexagons Inside Out
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by
Les Pook
Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper ...
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Polyhedron Models
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by
Magnus J Wenninger
Models of the regular and semi-regular 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 ...
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Space Structures: Their Harmony & Counterpoint
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by
Arthur L Loeb
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Dual Models
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by
Magnus J Wenninger
In Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledge with respect to polyhedral forms. He begins with the simplest convex solids but then goes on to ...
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Polyhedra
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by
Peter R Cromwell
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 and 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 ...
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Lunar Outpost: The Challenges of Establishing a Human Settlement on the Moon
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by
Erik Seedhouse
"Lunar Outpost" provides a detailed account of the various technologies, mission architectures, medical requirements and training needed to return humans to the Moon within the next decade. It focuses on the means by which a lunar outpost will be constructed and also addresses major topics such as the cost of the enterprise and the roles played by ...
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Models: The Third Dimension of Science
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by
Soraya de Chadarevain (Editor), Nick Hopwood (Editor)
This book is about wooden ships and plastic molecules, wax bodies and a perspex economy, monuments in cork and mathematics in plaster, casts of diseases, habitat dioramas and extinct monsters rebuilt in bricks and mortar. Considering such objects together for the first time, this interdisciplinary volume demonstrates how, in research as well as ...
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Make Shapes 1
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by
Gerald Jenkins, Anne Wild
Contains patterns to make beautiful shapes which are fun to decorate. Each model is printed on white paper ready to cut out and glue together. There are at least 12 hours of activities and the finished models form part of a collection.
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Shapes, Space, and Symmetry
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by
Alan Holden
Explains structure of 9 regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
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Geometrix: 161 Patterns and Motifs for Artists and Designers
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by
Clarence Hornung
A versatile collection of striking graphic images wittily combining geometrical form and the principles of optical illusion. Complete with a simple, basic plan to enable graphic artists to create their own geometric designs.
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Make Shapes 2
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by
Gerald Jenkins, Anne Wild
Children love making these beautiful shapes which they are such fun to decorate. Each model is printed on crisp white paper ready to cut out and glue together. There are at least twelve hours of enjoyment in each book and the finished models make a fine collection. There are plenty of suggestions and ideas for coloring and decoration.
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Bucky for Beginners
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by
Mary Laycock, Martha Kyzer (Illustrator)
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Polyhedral Combinatorics: Proceedings of a Dimacs Workshop: June 12-16, 1989
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by
William J Cook
This book, the first volume in the "DIMACS" book series, contains the proceedings of the first DIMACS workshop. The workshop, which was held in June 1989 in Morristown, New Jersey, focused on polyhedral combinatorics. Two series of lectures were presented by L. Lovasz and A. Schrijver and there were a number of shorter lectures. The topics covered ...
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Polyhedrons: Intersecting Planes
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by
Marnie Luce
Introduces the concept and characteristics of the polyhedron, a space figure composed of intersecting planes. Includes study questions with answers.
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Map Coloring, Polyhedra, and the Four-Color Problem
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by
David W. Barnette
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Polyhedra Primer
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by
Peter Pearce
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