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Beginner S Book Of Modular Origami Polyhedra

Author : Rona Gurkewitz
ISBN : 9780486132181
Genre : Crafts & Hobbies
File Size : 38. 12 MB
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This manual features 17 easy-to-master projects involving the Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Includes detailed diagrams and photos of all the completed models.

The Platonic Solids Activity Book

Author : Ann E. Fetter
ISBN : 155953043X
Genre : Mathematics
File Size : 65. 41 MB
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Illustrates properties of the regular polyhedra, demonstrates why exactly five such solids exist, presents the mathematical heritage of the solids, and explores intriguing relationships between the solids and their duals.

Amazing Math

Author : Sunil Tanna
ISBN : 150308485X
Genre :
File Size : 88. 20 MB
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This book is a guide to the 5 Platonic solids (regular tetrahedron, cube, regular octahedron, regular dodecahedron, and regular icosahedron). These solids are important in mathematics, in nature, and are the only 5 convex regular polyhedra that exist. Topics covered include: What the Platonic solids are The history of the discovery of Platonic solids The common features of all Platonic solids The geometrical details of each Platonic solid Examples of where each type of Platonic solid occurs in nature How we know there are only five types of Platonic solid (geometric proof) A topological proof that there are only five types of Platonic solid What are dual polyhedrons What is the dual polyhedron for each of the Platonic solids The relationships between each Platonic solid and its dual polyhedron How to calculate angles in Platonic solids using trigonometric formulae The relationship between spheres and Platonic solids How to calculate the surface area of a Platonic solid How to calculate the volume of a Platonic solid Also included is a brief introduction to some other interesting types of polyhedra - prisms, antiprisms, Kepler-Poinsot polyhedra, Archimedean solids, Catalan solids, Johnson solids, and deltahedra. Some familiarity with basic trigonometry and very basic algebra (high school level) will allow you to get the most out of this book - but in order to make this book accessible to as many people as possible, it does include a brief recap on some necessary basic concepts from trigonometry.

Building Platonic Solids

Author : Sympsionics Design
ISBN : 9526787838
Genre :
File Size : 29. 92 MB
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How can you build sturdy Platonic Solids that will hold together through to the last gluing? The templates in this book were designed to answer that question. You can build the solids directly from the templates, or use them as a model to build on colored paper, cardboard, or paper you have colored or painted yourself. The completed solids made from the templates are about 1.8 inches (4.5 cm) high, and you can also follow the instructions to build bigger solids. Each template is included in the book three times, allowing you to get practice or build them along with your friends. Includes 3 x 5 black-and-white templates for building Platonic Solids and instructions.

Platonic And Archimedean Solids

Author : Daud Sutton
ISBN : 1904263399
Genre : Polyhedra
File Size : 86. 27 MB
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Polarizabilities Of Platonic Solids

Author : Ari H. Sihvola
ISBN : 9512262363
Genre :
File Size : 37. 94 MB
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Polyoxometalates From Platonic Solids To Anti Retroviral Activity

Author : M.T. Pope
ISBN : 9789401109208
Genre : Science
File Size : 65. 5 MB
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MICHAEL T. POPE AND ACHIM MULLER Department of Chemistry, Georgetown University, Washington, DC 20057-2222, U.S.A.; Department of Chemistry, University of Bielefeld, D-4BOO Bielefeld 1, F.R.G. Polyoxometalates, from their discovery and early development in the final decades of the 19th century to their current significance in disciplines as diverse as chemistry, mathematics, and medicine, continue to display surprisingly novel structures, unexpected reactivities and applications, and to attract increasing attention worldwide. Most of the contributors to the present volume participated in the workshop held at the Center for Interdisciplinary Research at the University of Bielefeld, July 15-17, 1992. The choice of topics illustrates some of the variety of directions and fields in which polyoxometalates can play an important role. Although many of the leading polyoxometalate research groups are represented here, we regret that time constraints, financial limitations, and in some cases difficulties of communication did not allow us to include significant and imp- tant work from other groups outside Europe and North America. In the following we briefly review the current status of the field of po- oxometalates.

Key To The Platonic Solids

Author : Travis Crisp
ISBN : 1544685017
Genre :
File Size : 37. 28 MB
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Learn how to draw all of the platonic solids from each of the face, edge, and vertex positions. Follow along with step by step instructions to guide you through this series of original compass and straightedge construction sequences, devised and developed by the author. These methods utilize logical assumptions based upon the known mathematical formulas for the polyhedra. Each sequence begins by drawing a circle that is assumed to share the same radius as the circumsphere of the polyhedron being drawn. By assuming a constant circumsphere radius, other assumptions can be made regarding the different relationships between the various polyhedra. This unique approach to an ancient technique provides the key to drawing the platonic solids like never before. Complete with a comprehensive introduction to the key concepts involved, this work is accessible to beginners while sure to provide many hours of challenging engagement for experts as well.

3d Origami Platonic Solids More

Author : John Montroll
ISBN : 1877656356
Genre : Crafts & Hobbies
File Size : 67. 50 MB
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Polyhedra are incredibly beautiful shapes. Illustrated step-by-step diagrams show how to fold a collection of around 30 models including the five Platonic Solids, sunken versions of each, models with color patterns, variations on Archimedean Solids, and more. Each model is folded from a single uncut square. They range from simple to complex.

A Geometric Analysis Of The Platonic Solids And Other Semi Regular Polyhedra

Author : Kenneth J. M. MacLean
ISBN : 9781932690996
Genre : Mathematics
File Size : 66. 61 MB
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This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)

Platonic Solids And Sacred Geometry Coloring Book For Adults

Author : Jose Valladares
ISBN : 1985582643
Genre :
File Size : 88. 47 MB
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This coloring book is for adults who want to explore their creative abilities to color complex sacred Geometry designs and Platonic solids. The perfect book for stressed-out adults, who want to spend time with the self. Explore 101 unique sacred Geometry, Platonic solids, Mandalas and fractal designs. Have fun coloring amazing and beautiful designs, There is only one drawing per page, so that the colors won't bleed through.

Sacred Geometry And Platonic Solids Coloring Book For Children

Author : Jose Valladares
ISBN : 1987543777
Genre :
File Size : 81. 89 MB
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110 Sacred Geometry & Platonic Solids designs for children of all ages. Coloring Sacred Geometry & Platonic solids is easy and fun for children. Coloring books benefits development stages for children of all ages. This simple activity helps the development of your children. Some benefits coloring sacred geometry helps your children: handwriting, hand coordination, confidence, creativity, and focus.

Polyhedra

Author : Peter R. Cromwell
ISBN : 0521664055
Genre : Mathematics
File Size : 52. 6 MB
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This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics.

Platonic Solids

Author : Sacred Geometry Ghost XV
ISBN : 107617552X
Genre :
File Size : 25. 39 MB
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This notebook is ideal to use as a journal, planner, to do list book, notebook, diary or travel log. Great and ideal gift for someone special. - 120 lined blank cream pages- Beautiful matte-finished cover. - Measures 6" wide x 9" high / 15.24 x 22.86 cm

Matthew Schreiber

Author : Matthew Schreiber
ISBN : 0967805643
Genre : Installations (Art)
File Size : 30. 85 MB
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Polyhedron Models

Author : Magnus J. Wenninger
ISBN : 0521098599
Genre : Mathematics
File Size : 36. 31 MB
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An explicit guide to the geometric principles, design, and construction of complex polyhedral figures

Drawing Geometric Solids

Author : Sympsionics Design
ISBN : 9526821734
Genre :
File Size : 47. 75 MB
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In this book, you will find precise instructions with clear images on how to draw a range of geometric solids. The book includes both simple and more advanced drawings. Step-by-step instructional images are followed, in each case, by a full-colored picture of the finished solid, drawn with colored pencils. The instructions include those for drawing a tetrahedron, a tetrahedron inside a tetrahedron, a cube, a truncated cube, a cuboctahedron, a truncated octahedron, an octahedron inside a cube, a cube inside an octahedron, a stellated octahedron, a small stellated dodecahedron, a great stellated dodecahedron, a dodecahedron, an icosahedron, a dodecahedron inside an icosahedron, an icosahedron inside a dodecahedron, and the golden rectangles inside an icosahedron. There are also instructions on how to draw a golden ratio and a regular pentagon, hexagon and decagon with a ruler and compass.

Origami Polyhedra Design

Author : John Montroll
ISBN : 9781439871065
Genre : Mathematics
File Size : 25. 31 MB
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This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.

Connections

Author : Jay Kappraff
ISBN : 9810245866
Genre : Mathematics
File Size : 89. 63 MB
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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.

Shapes And Symbols Of Sacred Geometry A Pocket Reference Book

Author : Debbie Brewer
ISBN : 9780244489625
Genre :
File Size : 68. 41 MB
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