Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Symmetry Orbits

  • Book
  • © 1996

Overview

Authors:
  1. Hugo F. Verheyen

    1. Antwerpen, Belgium

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Design Science Collection (DSC)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Introduction

    1. Introduction

      • Hugo F. Verheyen
      Pages 1-8

  3. Realization of Symmetry Groups

    1. Front Matter

      Pages 9-9
      Download chapter PDF

    2. Groups of Isometries

      • Hugo F. Verheyen
      Pages 11-66

    3. Symmetry Action

      • Hugo F. Verheyen
      Pages 67-79

    4. Orbit Systems

      • Hugo F. Verheyen
      Pages 81-91

  4. Compounds of Cubes

    1. Front Matter

      Pages 93-93
      Download chapter PDF

    2. Classification of the Finite Compounds of Cubes

      • Hugo F. Verheyen
      Pages 95-159

    3. Stability of Subcompounds

      • Hugo F. Verheyen
      Pages 161-194

    4. Higher Descriptives

      • Hugo F. Verheyen
      Pages 195-200

    5. Assembling Models

      • Hugo F. Verheyen
      Pages 201-221

  5. Back Matter

    Pages 223-236
    Download chapter PDF
Back to top

Keywords

About this book

In a broad sense design science is the grammar of a language of images rather than of words. Modem communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. Inter­ national traffic signs use international image symbols which are not An image language differs specific to any particular verbal language. from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at different altitudes capable of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings compris­ ing ramps and other features which disguise the separation between and consequently limit the creative process of the architect. floors, Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.

Authors and Affiliations

  • Antwerpen, Belgium

    Hugo F. Verheyen

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation