Spherical Models

    Spherical Models

    By Magnus J. Wenninger

    $19.95

    Publication Date: 16th May 2012

    Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.
    Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spheric... Read More
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    Paperback
    74 in stock
    Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.
    Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spheric... Read More
    Description
    Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.
    Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spherical models from five regular solids, using only circular bands of paper, a ruler and a compass. Also discussed is tessellation, or tiling, on a sphere and how to make spherical models of all the semiregular solids. The volume concludes with a discussion of the relationship of polyhedral to geodesic domes and directions for building models of the domes.
    Abundantly illustrated with photographs, drawings, and computer graphics of attractive geometrical models, this volume will appeal to a wide range of readers—from students and teachers of mathematics, art, design, architecture and engineering, to recreational mathematics enthusiasts and builders of geodesic domes.

    Reprint of the Cambridge University Press, Cambridge, England, 1979 edition.
    Details
    • Price: $19.95
    • Pages: 176
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 16th May 2012
    • Trim Size: 8.12 x 11 in
    • ISBN: 9780486409214
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Geometry / General
    Table of Contents
    Foreword by Arthur L. Loeb
    Preface
    Introduction: Basic properties of the sphere
    I. The regular spherical models
    The spherical hexahedron or cube
    General instructions for making models
    The spherical octahedron
    The spherical tetrahedron
    The spherical icosahedron and dodecahedron
    The polyhedral kaleidoscope
    Summary
    II. The semiregular spherical models
    The spherical cuboctahedron
    The spherical icosidodecahedron
    Spherical triangles as characteristic triangles
    The five truncated regular spherical models
    The rhombic spherical models
    The rhombitruncated spherical models
    The snub forms as a spherical models
    The spherical duals
    Summary
    III. Variations
    Regular and semiregular variations
    Star-faced spherical models
    IV. Geodesic domes
    The simplest geodesic domes
    Geodesic domes derived from the icosahedron
    General instructions for making geodesic models
    An alternative method of approaching geodesic segmentation
    Introduction to geodesic symbolism and classification
    Geodesic models derived from the dodecahedron
    An alternative for geodesic segmentation of the dodecahedron
    A second alternative for geodesic segmentation of the icosahedron
    An alternative for geodesic segmentation of the snub dodecahedron
    A third alternative for geodesic segmentation of the icosahedron
    Final comments
    V. Miscellaneous models
    "Honeycomb models, edge models, and nolids"
    An introduction to the notion of polyhedral density
    Edge models of stellated forms
    Some final comments about geodesic domes
    Epilogue
    Appendix
    References
    List of models
    Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.
    Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spherical models from five regular solids, using only circular bands of paper, a ruler and a compass. Also discussed is tessellation, or tiling, on a sphere and how to make spherical models of all the semiregular solids. The volume concludes with a discussion of the relationship of polyhedral to geodesic domes and directions for building models of the domes.
    Abundantly illustrated with photographs, drawings, and computer graphics of attractive geometrical models, this volume will appeal to a wide range of readers—from students and teachers of mathematics, art, design, architecture and engineering, to recreational mathematics enthusiasts and builders of geodesic domes.

    Reprint of the Cambridge University Press, Cambridge, England, 1979 edition.
    • Price: $19.95
    • Pages: 176
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 16th May 2012
    • Trim Size: 8.12 x 11 in
    • ISBN: 9780486409214
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Geometry / General
    Foreword by Arthur L. Loeb
    Preface
    Introduction: Basic properties of the sphere
    I. The regular spherical models
    The spherical hexahedron or cube
    General instructions for making models
    The spherical octahedron
    The spherical tetrahedron
    The spherical icosahedron and dodecahedron
    The polyhedral kaleidoscope
    Summary
    II. The semiregular spherical models
    The spherical cuboctahedron
    The spherical icosidodecahedron
    Spherical triangles as characteristic triangles
    The five truncated regular spherical models
    The rhombic spherical models
    The rhombitruncated spherical models
    The snub forms as a spherical models
    The spherical duals
    Summary
    III. Variations
    Regular and semiregular variations
    Star-faced spherical models
    IV. Geodesic domes
    The simplest geodesic domes
    Geodesic domes derived from the icosahedron
    General instructions for making geodesic models
    An alternative method of approaching geodesic segmentation
    Introduction to geodesic symbolism and classification
    Geodesic models derived from the dodecahedron
    An alternative for geodesic segmentation of the dodecahedron
    A second alternative for geodesic segmentation of the icosahedron
    An alternative for geodesic segmentation of the snub dodecahedron
    A third alternative for geodesic segmentation of the icosahedron
    Final comments
    V. Miscellaneous models
    "Honeycomb models, edge models, and nolids"
    An introduction to the notion of polyhedral density
    Edge models of stellated forms
    Some final comments about geodesic domes
    Epilogue
    Appendix
    References
    List of models

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