Designing And Building Tessellated Polyhedra

Author : Robert Fathauer
Publisher : Tessellations
Page : 111 pages
File Size : 40,7 Mb
Release : 2017-08
Category : Juvenile Nonfiction
ISBN : 1938664027

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Designing and Building Tessellated Polyhedra by Robert Fathauer Pdf

Polyhedra allow geometric shapes in the plane to become solids in our three-dimensional world. Tessellations in which individual tiles are lifelike motifs are a fun combination of art and mathematics. Designing and Building Tessellated Polyhedra brings these two fascinating topics together a for hands-on learning experience rich in math content. Nets for 24 different polyhedra, including all of the Platonic and Archimedean solids, are presented both with and without tessellations applied to them. This allows polyhedra to be built with ready-made designs that can be colored if desired, or printed in beautiful color using the included CD. Another option is building undecorated polyhedra that have the names and key properties printed on them. Yet another possibility is to use templates to design new tessellations that can be applied to the polyhedra. The book also contains background on polyhedra and templates for tessellated cones, cylinders, and Msbius strips. For classroom use, ten activities with worksheets, designed to address ten different specific Common Core State Standards for Mathematics are included as well. Ages 12-17

Author : Robert Fathauer
Publisher : CRC Press
Page : 443 pages
File Size : 54,7 Mb
Release : 2020-12-07
Category : Mathematics
ISBN : 9780429589232

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Tessellations by Robert Fathauer Pdf

Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles

Author : Marjorie Senechal
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 51,7 Mb
Release : 2013-03-22
Category : Mathematics
ISBN : 9780387927145

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Shaping Space by Marjorie Senechal Pdf

This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

Author : Robert Fathauer
Publisher : Unknown
Page : 32 pages
File Size : 54,6 Mb
Release : 2009
Category : Electronic
ISBN : 0980219159

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Polyhedra Activity Book by Robert Fathauer Pdf

Author : Jean-François Gabriel
Publisher : John Wiley & Sons
Page : 554 pages
File Size : 46,9 Mb
Release : 1997-08-12
Category : Architecture
ISBN : 0471122610

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Beyond the Cube by Jean-François Gabriel Pdf

Diese Sammlung von Beitragen anerkannter Autoren zur Architektur, die uber den Quader hinausgeht, ist das einzige derzeit am Markt befindliche Referenzwerk auf diesem Gebiet. Theoretische und praktische Aspekte der Konstruktion von Vielflachnern und raumlichen Gebilden werden anhand von uber 480 Zeichnungen und zahlreichen Fotographien anschaulich erlautert. (02/98)

Author : Marjorie Senechal,George M. Fleck
Publisher : Birkhäuser
Page : 314 pages
File Size : 54,9 Mb
Release : 1988
Category : Art
ISBN : UOM:39015017292759

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Shaping Space by Marjorie Senechal,George M. Fleck Pdf

Author : Robert Williams
Publisher : Unknown
Page : 290 pages
File Size : 44,9 Mb
Release : 1979
Category : Art
ISBN : UOM:39015039922144

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The Geometrical Foundation of Natural Structure by Robert Williams Pdf

Author : Peter John Hilton,Jean Pedersen
Publisher : Addison Wesley Publishing Company
Page : 188 pages
File Size : 41,6 Mb
Release : 1988
Category : Mathematics
ISBN : STANFORD:36105003967952

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Build Your Own Polyhedra by Peter John Hilton,Jean Pedersen Pdf

Author : Peter Pearce,Susan Pearce
Publisher : Van Nostrand Reinhold Company
Page : 150 pages
File Size : 48,8 Mb
Release : 1978
Category : Mathematics
ISBN : UOM:39015049370482

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Polyhedra Primer by Peter Pearce,Susan Pearce Pdf

Here is a lucid, thoughtful guide to understanding the structure and organization of three-dimensional space. In 250 captioned drawings this book brilliantly communicates the beauty and geometry of polyhedra. Beginning with polygons and tessellations, it proceeds in a logical sequence to finite polyhedra, dual polyhedra, space filling, and open packings. Important considerations of symmetry, periodic and uniform patterns, and regular and semi-regular forms are presented. Because the understanding of polyhedra is enhanced by the manipulation of models, a chapter of both two- and three-dimensional constructions is included.

Author : Eric Gjerde
Publisher : CRC Press
Page : 256 pages
File Size : 50,5 Mb
Release : 2008-12-18
Category : Mathematics
ISBN : 9781000713152

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Origami Tessellations by Eric Gjerde Pdf

Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.

Author : Robert W. Fathauer
Publisher : Unknown
Page : 142 pages
File Size : 49,5 Mb
Release : 2008
Category : Mathematics in art
ISBN : 0980219132

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Designing and Drawing Tesselations by Robert W. Fathauer Pdf

"Lifelike Tessellations Activity Book", "Regular Polygon Tessellations Activity Book", and "Polyhedra Activity Book".

Author : Francesco L. Gervasio,Vojtech Spiwok,Raimund Mannhold
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 47,7 Mb
Release : 2019-04-29
Category : Medical
ISBN : 9783527342655

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Biomolecular Simulations in Structure-Based Drug Discovery by Francesco L. Gervasio,Vojtech Spiwok,Raimund Mannhold Pdf

A guide to applying the power of modern simulation tools to better drug design Biomolecular Simulations in Structure-based Drug Discovery offers an up-to-date and comprehensive review of modern simulation tools and their applications in real-life drug discovery, for better and quicker results in structure-based drug design. The authors describe common tools used in the biomolecular simulation of drugs and their targets and offer an analysis of the accuracy of the predictions. They also show how to integrate modeling with other experimental data. Filled with numerous case studies from different therapeutic fields, the book helps professionals to quickly adopt these new methods for their current projects. Experts from the pharmaceutical industry and academic institutions present real-life examples for important target classes such as GPCRs, ion channels and amyloids as well as for common challenges in structure-based drug discovery. Biomolecular Simulations in Structure-based Drug Discovery is an important resource that: -Contains a review of the current generation of biomolecular simulation tools that have the robustness and speed that allows them to be used as routine tools by non-specialists -Includes information on the novel methods and strategies for the modeling of drug-target interactions within the framework of real-life drug discovery and development -Offers numerous illustrative case studies from a wide-range of therapeutic fields -Presents an application-oriented reference that is ideal for those working in the various fields Written for medicinal chemists, professionals in the pharmaceutical industry, and pharmaceutical chemists, Biomolecular Simulations in Structure-based Drug Discovery is a comprehensive resource to modern simulation tools that complement and have the potential to complement or replace laboratory assays for better results in drug design.

Author : Paola Magnaghi-Delfino,Giampiero Mele,Tullia Norando
Publisher : Springer Nature
Page : 234 pages
File Size : 42,6 Mb
Release : 2019-10-08
Category : Mathematics
ISBN : 9783030297961

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Faces of Geometry. From Agnesi to Mirzakhani by Paola Magnaghi-Delfino,Giampiero Mele,Tullia Norando Pdf

The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.

Author : Alex Bellos
Publisher : Unknown
Page : 120 pages
File Size : 43,9 Mb
Release : 2015-09-24
Category : Electronic
ISBN : 1782117881

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Snowflake, Seashell, Star by Alex Bellos Pdf

Bestselling author of Alex's Adventures in Numberland joins the meditative colouring book craze with this mathematical colouring book.

Author : Robert Stanley Beard
Publisher : Unknown
Page : 256 pages
File Size : 55,5 Mb
Release : 1973
Category : Geometrical drawing
ISBN : UCSD:31822013149455

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Patterns in Space by Robert Stanley Beard Pdf