Fractal cities: a geometry of form and function
Fractal Cities is a pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated through computer graphics. It shows how cities evolve and grow in ways that at first sight appear i...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Acad. Press
1994
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Fractal Cities is a pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated through computer graphics. It shows how cities evolve and grow in ways that at first sight appear irregular, but which, when understood in terms of fractals, illustrate an underlying order that reveals their complexity and diversity The book contains sixteen pages of stunning computer graphics and explanations of how to construct them, as well as new insights into the complexity of social systems. The authors provide a gentle and intelligible introduction to fractal geometry as well as an exciting visual understanding of the form of cities, thus providing one of the best introductions to fractal geometry available for non-mathematicians and social scientists Fractal Cities can be used as a text for courses on geographic information systems, urban geography, regional science and fractal geometry. Planners and architects will also find that there are many aspects of fractal geometry in this book relevant to their own interests. Furthermore, those involved in fractals and chaos, computer graphics, and systems theory will find important methods and examples that are germane to their work |
| Beschreibung: | XXI, 394 S. Ill., graph. Darst., Kt. |
| ISBN: | 0124555705 |
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| 520 | 3 | |a Fractal Cities is a pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated through computer graphics. It shows how cities evolve and grow in ways that at first sight appear irregular, but which, when understood in terms of fractals, illustrate an underlying order that reveals their complexity and diversity | |
| 520 | |a The book contains sixteen pages of stunning computer graphics and explanations of how to construct them, as well as new insights into the complexity of social systems. The authors provide a gentle and intelligible introduction to fractal geometry as well as an exciting visual understanding of the form of cities, thus providing one of the best introductions to fractal geometry available for non-mathematicians and social scientists | ||
| 520 | |a Fractal Cities can be used as a text for courses on geographic information systems, urban geography, regional science and fractal geometry. Planners and architects will also find that there are many aspects of fractal geometry in this book relevant to their own interests. Furthermore, those involved in fractals and chaos, computer graphics, and systems theory will find important methods and examples that are germane to their work | ||
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Datensatz im Suchindex
| _version_ | 1804124383666503680 |
|---|---|
| adam_text | Titel: Fractal cities
Autor: Batty, Michael
Jahr: 1994
The Shape of Cities: Geometry, Morphology, Complexity and
Form 7
1.1 Understanding Cities 7
1.2 Ancient and Traditional Conceptions of Space 10
1.3 The New Science of Space and Time 14
1.4 The City of Pure Geometry 18
1.5 The Organic City 28
1.6 Morphology: Growth and Form, Form and Function 42
1.7 Urban Hierarchies 47
1.8 A New Geometry 55
Size and Shape, Scale and Dimension 58
2.1 Scale, Hierarchy and Self-Similarity 58
2.2 The Geometry of the Koch Curve 61
2.3 Length, Area and Fractal Dimension 65
2.4 The Basic Mathematical Relations of Fractal Geometry 68
2.5 More Idealized Geometries: Space-Filling Curves and
Fractal Dusts 71
2.6 Trees and Hierarchies 75
2.7 Fractal Attractors: Generation by Transformation 83
2.8 Fractals as Iterated Function Systems 85
2.9 Idealized Models of Urban Growth and Form 91
Simulating Cities as Fractal Picturescapes 96
3.1 The Quest for Visual Realism 96
3.2 Randomness and Self-Similarity 100
3.3 Fractional Brownian Motion 107
3.4 Fractal Planetscapes and Terrain 110
3.5 Simulating Brownian Motion by Midpoint
Displacement 115
3.6 Fractal Terrain Using the Midpoint Displacement: the
Earthrise Sequence 118
3.7 Elementary Models of Urban Structure 122
3.8 Fractal Cityscapes: the London Sequence 126
4 Laboratories for Visualizing Urban Form 130
4.1 Experimentation as Visualization 130
4.2 Exploring Urban Forms in the Space of All Cities 135
4.3 Hierarchical Urban Structure 140
4.4 Discrete Choice Models of Urban Structure 142
4.5 Estimation Methods for the Multinomial Logit Model 143
4.6 Determinants of Spatial Structure: the Data Base 146
4.7 Model Selection and Estimation 149
4.8 Fractal Simulation of House Type and Location in
London 159
4.9 Extending the Laboratory for Experimentation and
Visualization 162
5 Urban Boundaries and Edges 164
5.1 At the Edge of the City 164
5.2 Cartographic Representation and Generalization of
Geographical Boundaries 167
5.3 The Basic Scaling Relations for a Fractal Line 170
5.4 Estimating the Fractal Dimension: the Urban Boundary
of Cardiff 173
5.5 Form and Process: Cardiff s Changing Urban Edge 179
5.6 Fractal Measurement Methods Compared I: the
Structured Walk 185
5.7 Fractal Measurement Methods Compared Ð. Equipaced
Polygon, Hybrid Walk and Cell-Count Methods 190
5.8 Beyond Lines to Areas 195
6 The Morphology of Urban Land Use 199
6.1 Inside the Fabric of the City 199
6.2 Area-Perimeter Relations and Scale Dependence 201
6.3 Areas and Perimeters: the Fractal Geometry of Urban
Land Use 204
6.4 Perimeters and Scale: Constructing Long Threads from
Land Use Parcel Boundaries 210
6.5 Refining the Perimeter-Scale Relations for the
Aggregated Land Use Boundaries 218
6.6 Fractal Dimensions of Individual Land Parcels 221
6.7 The Problem of Measurement 226
7 Urban Growth and Form 228
7.1 Cities in Evolution 228
7.2 The Basic Scaling Relations of the Fractal City 230
7.3 Preliminary Evidence for a Theory of the Fractal City 234
7.4 A Scaling Model of Urban Growth 244
7.5 The Process of Diffusion-Limited Aggregation 247
7.6 The Statistical Measurement of DLA Clusters 250
7.7 Space-Time Histories and Accounts 252
7.8 Theoretical Simulations: 1. Statics 255
7.9 Theoretical Simulations: II. Dynamics 262
7.10 An Empirical Test: The Urban Growth of Taunton 266
7.11 Extending the Growth Model 272
8 Generating and Growing the Fractal City 274
8.1 Simulating Growth 274
8.2 Diffusion-Limited Aggregation and Dielectric
Breakdown 277
8.3 Analogies and Solutions 281
8.4 Form and Dimension of the Baseline Model 285
8.5 The Effect of Randomness on Form and Dimension 291
8.6 Physical Constraints on the Simulation 295
8.7 Generating the Continuum of Urban Forms 297
8.8 Measuring and Simulating Urban Form in Medium-
Sized Towns: Applications to Cardiff 300
8.9 Towards More Realistic Models 306
9 Form Follows Function: Reformulating Population Density
Functions 308
9.1 Cities as Population Density Functions 308
9.2 Exponential Functions of Urban Density 311
9.3 Power Functions of Urban Density 314
9.4 Urban Allometry, Density and Dimension 318
9.5 The Basic Scaling Relations Revisited 320
9.6 Methods of Parameter Estimation 321
9.7 Applications to Large Cities: the Seoul Data Base 324
9.8 The Density Model Estimates 326
9.9 Fractals and City Size 332
10 Extending the Geometry to Systems of Fractal Cities 335
10.1 Articulating Systems of Cities 335
10.2 Scaling Relations for City Size Distributions 339
10.3 The Representation of Urban Areas 342
10.4 Initial Analysis of the Norfolk Settlement Pattern 344
10.5 Estimates of Allometric and Fractal Dimension in
Norfolk 347
10.6 Constraining Urban Form Through Green Belts 353
10.7 The Impact of Green Belts Using Scaling Relations 357
10.8 An Unfinished Agenda 364
Conclusions 369
Bibliography 373
Author Index 385
Subject Index 389
|
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| discipline | Geowissenschaften Architektur Mathematik Geographie |
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| indexdate | 2024-07-09T17:44:48Z |
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| spelling | Batty, Michael Verfasser aut Fractal cities a geometry of form and function Michael Batty and Paul Longley London u.a. Acad. Press 1994 XXI, 394 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Fractal Cities is a pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated through computer graphics. It shows how cities evolve and grow in ways that at first sight appear irregular, but which, when understood in terms of fractals, illustrate an underlying order that reveals their complexity and diversity The book contains sixteen pages of stunning computer graphics and explanations of how to construct them, as well as new insights into the complexity of social systems. The authors provide a gentle and intelligible introduction to fractal geometry as well as an exciting visual understanding of the form of cities, thus providing one of the best introductions to fractal geometry available for non-mathematicians and social scientists Fractal Cities can be used as a text for courses on geographic information systems, urban geography, regional science and fractal geometry. Planners and architects will also find that there are many aspects of fractal geometry in this book relevant to their own interests. Furthermore, those involved in fractals and chaos, computer graphics, and systems theory will find important methods and examples that are germane to their work Fractales Stadsgeografie gtt Stadsplanning gtt Stedelijke ontwikkeling gtt Urbanisme - Modèles mathématiques Urbanisme - Simulation, Méthodes de Mathematisches Modell Stadt Stadtplanung Cities and towns Mathematical models City planning Mathematical models Fractals Land use, Urban Mathematical models Urban geography Mathematical models Fraktal (DE-588)4123220-3 gnd rswk-swf Stadtgeografie (DE-588)4056733-3 gnd rswk-swf Fraktal (DE-588)4123220-3 s Stadtgeografie (DE-588)4056733-3 s DE-604 Longley, Paul A. 1969- Verfasser (DE-588)121630358 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006633529&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Batty, Michael Longley, Paul A. 1969- Fractal cities a geometry of form and function Fractales Stadsgeografie gtt Stadsplanning gtt Stedelijke ontwikkeling gtt Urbanisme - Modèles mathématiques Urbanisme - Simulation, Méthodes de Mathematisches Modell Stadt Stadtplanung Cities and towns Mathematical models City planning Mathematical models Fractals Land use, Urban Mathematical models Urban geography Mathematical models Fraktal (DE-588)4123220-3 gnd Stadtgeografie (DE-588)4056733-3 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4056733-3 |
| title | Fractal cities a geometry of form and function |
| title_auth | Fractal cities a geometry of form and function |
| title_exact_search | Fractal cities a geometry of form and function |
| title_full | Fractal cities a geometry of form and function Michael Batty and Paul Longley |
| title_fullStr | Fractal cities a geometry of form and function Michael Batty and Paul Longley |
| title_full_unstemmed | Fractal cities a geometry of form and function Michael Batty and Paul Longley |
| title_short | Fractal cities |
| title_sort | fractal cities a geometry of form and function |
| title_sub | a geometry of form and function |
| topic | Fractales Stadsgeografie gtt Stadsplanning gtt Stedelijke ontwikkeling gtt Urbanisme - Modèles mathématiques Urbanisme - Simulation, Méthodes de Mathematisches Modell Stadt Stadtplanung Cities and towns Mathematical models City planning Mathematical models Fractals Land use, Urban Mathematical models Urban geography Mathematical models Fraktal (DE-588)4123220-3 gnd Stadtgeografie (DE-588)4056733-3 gnd |
| topic_facet | Fractales Stadsgeografie Stadsplanning Stedelijke ontwikkeling Urbanisme - Modèles mathématiques Urbanisme - Simulation, Méthodes de Mathematisches Modell Stadt Stadtplanung Cities and towns Mathematical models City planning Mathematical models Fractals Land use, Urban Mathematical models Urban geography Mathematical models Fraktal Stadtgeografie |
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