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  • © 2022

Polyhedra and Beyond

Contributions from Geometrias’19, Porto, Portugal, September 05-07

Birkhäuser
  • Explores the connections between polyhedra and mathematics, art, architecture, computer science, and more

  • Uses an interdisciplinary approach to investigate the role of polyhedra in modern research and professional applications

  • Provides a thorough exploration of polyhedra for students and researchers in a variety of disciplines

Part of the book series: Trends in Mathematics (TM)

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  • ISBN: 978-3-030-99116-6
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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxvi
  2. Synthetic Methods for Constructing Polyhedra

    • Leonardo Baglioni, Federico Fallavollita, Riccardo Foschi
    Pages 1-17
  3. Filling Space with Gyroid Symmetry

    • Ulrich Reitebuch, Henriette-Sophie Lipschütz, Konrad Polthier
    Pages 69-76
  4. Vittorio Giorgini’s Architectural Experimentations at the Dawn of Parametric Modelling

    • Denise Ulivieri, Marco Giorgio Bevilacqua, Filippo Iardella
    Pages 103-117
  5. An Introduction to Solid Tessellations with Students of Architecture

    • João Pedro Xavier, José Pedro Sousa, Alexandra Castro, Vera Viana
    Pages 137-147

About this book

This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference’s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.

Keywords

  • Polyhedra
  • Polyhedral model
  • Polyhedral math
  • Polyhedral architecture
  • Polyhedral architecture
  • Polyhedral Leonardo da Vinci
  • Geodesic structures
  • Dodecahedron
  • Antiprism geometry
  • Antoni Gaudi intangible architecture
  • John Pickering intangible architecture
  • Solid tessellations
  • Deltahedral rings

Editors and Affiliations

  • Faculty of Architecture, University of Porto, Porto, Portugal

    Vera Viana, João Pedro Xavier

  • Faculty of Sciences, University of Porto, Porto, Portugal

    Helena Mena Matos

About the editors

Vera Viana is a Researcher in the Faculty of Architecture, University of Porto specialized on geometry, polyhedral theory, history of polyhedra, the relationships between architecture and mathematics, and the enhancement of mathematics education in higher education through advanced digital tools.

Bibliographic Information

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-99116-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 109.99
Price excludes VAT (USA)