+612 9045 4394
 
CHECKOUT
Incidence and Symmetry in Design and Architecture : Arnold and Caroline Rose Monograph Series of the American So - Jenny A. Baglivo

Incidence and Symmetry in Design and Architecture

Arnold and Caroline Rose Monograph Series of the American So

Paperback

Published: 30th May 1983
RRP $45.95
$43.95
This title is not in stock at the Booktopia Warehouse and needs to be ordered from our supplier.
Click here to read more about delivery expectations.

The initial purposes of this 1983 text were to develop mathematical topics relevant to the study of the incidence and symmetry structures of geometrical objects and to expand the reader's geometric intuition. The two fundamental mathematical topics employed in this endeavor are graph theory and the theory of transformation groups. Part I, Incidence, starts with two sections on the basics of graph theory and continues with a variety of specific applications of graph theory. Following this, the text becomes more theoretical; here graph theory is used to study surfaces other than the plane and the sphere. Part II, Symmetry, starts with a section on rigid motions or symmetries of the plane, which is followed by another on the classification of planar patterns. Additionally, an overview of symmetry in three-dimensional space is provided, along with a reconciliation of graph theory and group theory in a study of enumeration problems in geometry.

Forward
Preface
Incidence: Introduction
Incidence and Graph Theory
Topological transformations
Basic graph theory
Directed graphs
Traversability
Distance
Incidence in the Plane
Maps
Planar graphs
Euler's formula
Polyhedra
Further Applications of Graph Theory
Bracing structures
Optimal route design
Mean distance
Triangulations and organization graphs
Topology of Surfaces
Surfaces
Maps on surfaces
Tesselations of the plane
Compact surfaces
Symmetry: Introduction
Symmetry and Group Theory
Planar isometries
Basic group theory
Reflections on the plane
The isometry group of the plane
Symmetry in the Plane
Discrete groups
The circular groups
The frieze groups
The wallpaper groups
Symmetry in Space
Space isometries
Discrete space groups
The layer groups
the rod groups
Symmetry and Enumeration
A combinational approach to symmetry
Graph symmetry
Enumeration
Fundamental architectural arrangements revisited
Bibliography
Indeces
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521297844
ISBN-10: 0521297842
Series: Arnold and Caroline Rose Monograph Series of the American So
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 320
Published: 30th May 1983
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 24.41 x 16.99  x 1.7
Weight (kg): 0.51