Table of contents

  1. Front Matter
    Pages i-xiv
  2. Pipe-Z

    1. Front Matter
      Pages 1-1
    2. Machi Zawidzki
      Pages 3-9
    3. Machi Zawidzki
      Pages 11-17
    4. Machi Zawidzki
      Pages 19-30
    5. Machi Zawidzki
      Pages 31-35
    6. Machi Zawidzki
      Pages 37-44
  3. Truss-Z

    1. Front Matter
      Pages 45-45
    2. Machi Zawidzki
      Pages 47-68
    3. Machi Zawidzki
      Pages 69-104
    4. Machi Zawidzki
      Pages 105-120
  4. Back Matter
    Pages 121-121

About this book


This book is comprised of two parts, both of which explore modular systems: Pipe-Z (PZ) and Truss-Z (TZ), respectively. It presents several methods of creating PZ and TZ structures subjected to discrete optimization. The algorithms presented employ graph-theoretic and heuristic methods. The underlying idea of both systems is to create free-form structures using the minimal number of types of modular elements. PZ is more conceptual, as it forms single-branch mathematical knots with a single type of module. Conversely, TZ is a skeletal system for creating free-form pedestrian ramps and ramp networks among any number of terminals in space. In physical space, TZ uses two types of modules that are mirror reflections of each other. The optimization criteria discussed include: the minimal number of units, maximal adherence to the given guide paths, etc.


Alignment to Guide Path Arm-Z Breadth-first Search Congruent Unit Dihedral Rotation Discrete Structural Optimization Evolution Strategy Evolutionary Algorithm Foldable Module Graph Exploration Organic Design Parametric Design Pedestrian ramp Pipe-Z Retrofitting Skeletal Structure Template System Truss-Z

Authors and affiliations

  • Machi¬†Zawidzki
    • 1
  1. 1.MITCambridgeUSA

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-10-1108-5
  • Online ISBN 978-981-10-1109-2
  • Series Print ISSN 2199-580X
  • Series Online ISSN 2199-5818
  • Buy this book on publisher's site
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