
Monograph
One 78 pp. (master
document prepared using MTS by Gwen Nystuen)
Sandra L. Arlinghaus and John D.
Nystuen,
1986.
Mathematical Geography and
Global
Art: the Mathematics of David Barr's `Four Corners Project'.
2009: Link
to Supplementary Materials.
 Front Matter
 Table of
Contents
 Chapter
1. Introduction
 Chapter
2. Four Corner
Sites for the Tetrahedron Sculpture
 Chapter
3. Extension of
Barr's Problem to the Set of Platonic Solids
 Chapter
4. Uniqueness
Questions
 Appendix
A. Some Solid
Geometry
 Appendix
B. Some Linear
Algebra
 Appendix
C. Terrae Antipodum:
Antipodal Landmass Map


Monograph
Two 79 pp. (master
document prepared using a typewriter)
Sandra L. Arlinghaus, 1986.
Down the Mail Tubes: the
Pressured
Postal Era, 18531984.
2009: Link
to Supplementary Materials.
 Front Matter
 Review by
Sylvia L. Thrupp
 Table of
Contents
 Introduction
 Pneumatic
Postal Networks in
Western Europe
 Pneumatic
Postal Networks in
the United States
 Transfer of
Technology
 Appendix
 Notes
 Source of Maps
and Figures


Monograph
Three 167 pp. (original document
prepared
by the author using a typewriter)
Sandra L. Arlinghaus, 1986.
Essays on Mathematical
Geography.
2009: Link to Supplementary Materials.
 Front Matter
 Table of
Contents
 The
Welltempered Map Projection
 Antipodal
Graphs
 Measuring the
Vertical City
 Concavity and
Human Settlement
Patterns
 Steiner
Transformations
 Analogue Clocks
 Fad and
Permanence in Human
Systems
 Topological
Exploration in Geography
 A Space for
Thought
 Chaos in Human
SystemsThe
HeineBorel Theorem


Monograph
Four 118 pp. plus front matter.
(Original
document prepared by the author using a typewriter)
Robert F. Austin, 1986.
A Historical Gazetteer of
Southeast
Asia.
2009: Link to Supplementary Materials.
 Cover
 Front Matter
 Introduction
 Gazetteer
 Notes and
Abbreviations
 Additional
References


Monograph
Five 101 pp. (original
document prepared by the author using ChiWriter)
Sandra L. Arlinghaus, 1987.
Essays on Mathematical
GeographyII.
 Cover
 Dedication
 Frontispiece:
The Atlantic
Drainage Tree
 Acknowledgment
 Table of
Contents
 Getting a
Handel on Watergraphs
 Terror in
Transit: A Graph
Theoretic Approach to the Passive Defense of Urban Networks
 Terrae
Antipodum
 Urban Inversion
 Fractals:
Constructions,
Speculations, and Concepts
 Solar Woks
 A Pneumatic
Postal Plan:
The Chambered Interchange and ZIPPR Code
 Endpiece


Monograph
Six 162 pp. (Original
document prepared by the authors using word processing software.)
Pierre Hanjoul, Hubert Beguin, and
JeanClaude
Thill, 1988.
Theoretical Market Areas Under
Euclidean
Distance.
 Abstract 
Acknowledgments
 Table of
Contents
 1.
Introduction
 2.
Modelling consumers'
behaviour
 3.
Delimitation of the
problem and definitions
 4.
Elementary properties
of market areas
 5.
Variation of the transportation
cost difference along specific curves
 6.
Remarkable bounds and
asymptotic behaviour: spatial extension
 7.
Variation of y with
x along the indifference line
 8. The
standpoint of mathematical
topology: spatial structure
 9.
Properties of the measures
of Zk and of the extra territory of centre j
 10. Dependence
of the market
areas on the exponent a when h = .^a
 11. Some
limiting properties
of market areas
 12. Relaxation
of the assumptions
about the transportation cost function h
 13. Descartes'
ovals
 Conclusion
 References
 Appendices
 List of main
symbols


Monograph
Seven 115 pp. (Origiinal
document prepared by the editor using word processing software.)
Keith J. Tinkler, Editor,
1988.
With contributions by Keith J. Tinkler, John D. Nystuen, and Michael F.
Dacey.
NystuenDacey Nodal Analysis.
 Acknowledgments
 "Foreward"
(Nystuen)
 Table of
Contents
 Preface
(Tinkler)
 Statistics for
Nystuen Dacey
Nodal Analysis (Tinkler)
 Appendix
A (Tinkler)
 Appendix
B (Tinkler)
 Appendix
C (Nystuen and
Dacey)
 Appendix
D (Nystuen and
Dacey)
 Appendix
E (Nystuen and
Dacey)
 Appendix
F (Tinkler)


Monograph
Eight 85 pp. (Original
document prepared by the author using word processing software.)
James W. Fonseca, 1989.
The Urban Ranksize Hierarchy:
A
Mathematical Interpretation.
 Introduction
 The Spiral
Constant
 Other
Derivations of the Ratio of the Spiral Constant
 Generating
RankSize by the Spiral Constant
 The Slope
of the RankSize Distribution
 The Spiral
Constant and Concavity of RankSize Distributions
 The Spiral
Constant and the Primate City
 Traditional
RankSize Relationships
 RankSize
Central Place Theory
 Directions
for Further Research
 Bibliography
 About
the Author


Monograph
Nine 84 pp. (original
document prepared by the author using Plain TeX)
Sandra L. Arlinghaus, 1989.
An Atlas of Steiner Networks.
 Front Matter
 Introduction
 Networks of
Minimal Total Length
in the Triangle
 Networks of
Minimal Total Length,
in General
 Geometric
Constructions: the
Six Point Case
 Enumeration of
Candidate Steiner
Networks


Monograph
Ten 103 pp. (original
document prepared by the author using word processing software)
Daniel A. Griffith, 1989.
Simulating K=3 Christaller
Central
Place Structures: An Algorithm Using A Constant Elasticity of
Substitution
Consumption Function.
 Front Matter
 Preface
 Table of
Contents
 Chapter
1.0. Introduction
 Chapter
2.0. Background
 Chapter 3.0.
Mathematical and
numerical solutions to components of the K = 3 central place structure
problem
 Chapter
4.0. A multinomial
logit classification model for determining hierarchical levels for
commodities
 Chapter
5.0. Results for
contrived test data sets
 Chapter
6.0. About the
algorithm
 Chapter
7.0. Conclusing
comments
 Chapter
8.0. Bibliography
 Appendix
A: BASIC computer
code for IBMCompatible PCs


Monograph
Eleven 104 pp. (original
document prepared by the authors using Plain TeX)
Sandra L. Arlinghaus and John D.
Nystuen,
1990.
Environmental Effects on Bus
Durability.
 Front Matter
 Chapter
1: Climatic Effects
 Chapter
2: Terrain Effects
 Chapter
3: Congestion
Effects
 Chapter
4: Combined Effects


Monograph
Twelve 398 pp. (Original
document prepared by IMaGe using TeX.)
Daniel A. Griffith, Editor, 1990.
Spatial Statistics: Past,
Present,
and Future
(because the file
for the
entire book is large, over 147MB, pdfs for individual chapters are also
given)


Monograph
Thirteen (original
document prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor, 1990.
Solstice: An Electronic
Journal
of Geography and Mathematics, Volume I.
 Front matter
for entire volume
 Front matter
for Volume I, Number
1, Summer, 1990
 Postulates of
the Science of
Space (reprint), W. K. Clifford
 Beyond the
fractal, S. L. Arlinghaus
 Groups,
graphs, and God, W.
C. Arlinghaus
 Regular
features
 Front matter
for Volume I, Number
2, Winter, 1990
 A city of
strangers: spatial
aspects of alienation in the Detroit metropolitan area (reprint), J. D.
Nystuen
 Scale and
dimension: their
logical harmony, S. L. Arlinghaus.
 Parallels
between parallels,
S. L. Arlinghaus
 The Hedetniemi
matrix sum:
a realworld application, S. L. Arlinghaus, W. C. Arlinghaus, J. D.
Nystuen
 Fractal
geometry of infinite
pixel sequences: "Superdefinition" resolution? S. L.
Arlinghaus
 Regular
Features


Monograph
Fourteen 52 pp. (original
document prepared by the author using Plain TeX)
Sandra L. Arlinghaus, 1991.
Essays on Mathematical
GeographyIII.
 Cover
 Dedication
 Copyright
statement
 Preface
 Table of
Contents
 Table for
Central Place Fractals
 Tiling
According to the "Administrative"
Principle
 Moire Maps
 Triangle
Partitioning
 An Enumeration
of Candidate
Steiner Networks
 A Topological
Generation Gap
 Synthetic
Centers of Gravity:
Conjecture


Monograph
Fifteen (original
document prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor, 1991.
Solstice: An Electronic
Journal
of Geography and Mathematics, Volume
II.
 Front Matter,
Number 1, Volume
II.
 The Spatial
Shadow: Light
and DarkWhole and Part. S. Arlinghaus, D. Barr, J. Nystuen.
 Construction
Zone: Logistic
Curve. S. Arlinghaus.
 Construction
Zone: Spatial
Theory lectures. S. Arlinghaus.
 End Matter,
Number 1, Volume
II.
 Front Matter,
Number 2, Volume
II.
 Reprint:
Proof, Truth,
and Confusion. S. Mac Lane.
 Digital Maps
and Data Bases:
Aesthetics versus Accuracy. R. F. Austin
 End Matter,
Number 2, Volume
II.


Monograph
Sixteen (original
document prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor, 1992.
Solstice: An Electronic
Journal
of Geography and Mathematics,. Volume
III.
 Front Matter,
Number 1, Volume
III.
 Computing
Areas of Regions with
Discretely Defined Boundaries. H. L. Stern
 The Quadratic
World of Kinematic
Waves. S. Arlinghaus, J. Nystuen, M. Woldenberg.
 End Matter,
Number 1, Volume
III.
 Front Matter,
Number 2, Volume
III.
 Reprint:
What Are Mathematical
Models and What Should They Be? Frank Harary
 Reprint:
Where Are We?
Comments on the Concept of the "Center of Population". Frank
Barmore.
 The Pelt of
the Earth:
An Essay on Reactive Diffusion. S. Arlinghaus, J. Nystuen.
 End Matter,
Number 2, Volume
III.


Monograph
Seventeen (original
document prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor, 1993.
Solstice: An Electronic
Journal
of Geography and Mathematics,. Volume
IV.
 Front Matter,
Number 1, Volume
IV.
 Electronic
Journals: Observations
Based on Actual Trials, 1987Present. S. Arlinghaus and R. Zander
 Wilderness As
Place. J.
Nystuen
 Reprint:
The Earth Isn't
Flat. And It Isn't Round Either: Some Significant and
Little
Known Effects of the Earth's Ellipsoidal Shape. F. Barmore.
 Microcell
Hexnets? S.
Arlinghaus
 Sum Graphs and
Geographic Information.
S. Arlinghaus, W. Arlinghaus, F. Harary.
 End Matter,
Number 1, Volume
IV.
 Front Matter,
Number 2, Volume
IV.
 Villages in
Transition:
Elevated Risk of Micronutrient deficiency. W. Drake, S. Pak, I.
Tarwotjo,
Muhilal, J. Gorstein, R. Tilden
 End Matter,
Number 2, Volume
IV.


Monograph
Eighteen 109 pp. (Original document
prepared
by the author using word processing software.)
David J. Gordon. 1995.
The Cause of Location of Roads in
Maryland:
A Study in Cartographic Logic.
 Chapter
1: Introduction
to the Cause of Location of Roads
 Chapter
2: Developing
the Hypothesis of Ridge Roads
 Chapter
3: Constructing
a Model of Ridge Roads
 Chapter
4: Central Maryland:
a Case Study
 Chapter
5: Generalizing
the
Results
 References
Cited
 Appendix
A Glossary
 Appendix
B Constructing
the Contour Map of Travel Cost
Added link
to folder containing figures. 

Monograph
Nineteen (original
document prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor, 1994.
Solstice: An Electronic
Journal
of Geography and Mathematics,. Volume
V.
 Front Matter,
Number 1, Volume
V.
 Reprint:
Getting Infrastructure
Built, Virginia Ainslie and Jack Licate.
 Reprint:
Center Here;
Center There; Center, Center Everywhere, Frank Barmore.
 EqualArea
Venn Diagrams of
Two Circles: Their Use with RealWorld Data, B. Burkhalter
 Los Angeles,
1994A Spatial
Scientific Study
 End Matter,
Number 1, Volume
V.
 Front Matter,
Number 2, Volume
V.
 The Paris
Metro: Is its
Graph Planar? S. Arlinghaus, W. Arlinghaus, F. Harary.
 Interruption!
S. Arlinghaus
 Reprint:
Imperfections
in the Uniform Plane, M. Dacey.
 Construction
Zone: The
BraikenridgeMacLaurin Construction
 End Matter,
Number 2, Volume
V.


Monograph
Twenty
Sandra L. Arlinghaus, Editor, 1995.
Solstice: An Electronic
Journal
of Geography and Mathematics, Volume VI.
 Chapter
0: Front Matter
 Chapter
1: Fifth Anniversary
of Solstice
 Chapter
2: New Format
for Solstice
 Chapter
3: "Motor Vehicle
Transport and Global Climate Change: Policy Scenarios," R. Wallace
 Chapter
4: "Discrete Mathematics
and Counting Derangements in Blind Wine Tastings," J. Nystuen, S.
Arlinghaus, W. Arlinghaus
 Chapter
5: Index


Monograph
Twenty One
Sandra L. Arlinghaus, Editor, 1996.
Solstice: An Electronic
Journal
of Geography and Mathematics, Volume VII.
 Chapter
0: Front Matter
 Chapter
1: "The Greening
of Detroit, 19751992: Physical Effects of Decline," J. Nystuen,
R. Ryznar, T. Wagner
 Chapter
2: "Algebraic
Aspects of Ratios," S. Arlinghaus
 Chapter
3: "U.S. Route
12 Buffer," D. Jacobs
 Chapter
4: "Web Fractals,"
S. Arlinghaus
 Chapter
5: "Part II.
Elements of Spatial Planning: Theory. Merging Maps:
Node
Labeling Strategies," S. Arlinghaus
 Chapter
6: Index


Monograph
Twenty Two
Sandra L. Arlinghaus, Editor, 1997
Solstice: An Electronic
Journal
of Geography and Mathematics, Volume VIII.
 Front Matter
 "Why Whales
Don't Freeze or
KidneyShaped Airports: Spatial Analysis and Spatial
Design."
John D. Nystuen
 "To the Memory
of Clyde Tombaugh,
19061997." Frank Harary
 "The
Photographic Record.
SunSweep: A Visit on the Summer Solstice." John D. Nystuen
 "Buffers and
Duality."
Sandra L. Arlinghaus, Frederick L. Goodman, Daniel A. Jacobs
 "A Graph
Theoretic View of the
JoinCount Statistic." Sandra L. Arlinghaus and William C.
Arlinghaus
 "Differences
in Feature Representation
in Digital Map Bases." John D. Nystuen and Andrea I. Frank


Monograph
Twenty Three
Sandra L. Arlinghaus, Editor, 1998
Solstice: An Electronic
Journal
of Geography and Mathematics, Volume IX.
SEE ASSOCIATED ARTICLES IN
SOLSTICE
TO VIEW ANIMATION...
 Front Matter
 "Animaps."
Sandra L. Arlinghaus,
William D. Drake, and John D. Nystuen with Audra Laug, Kris S. Oswalt,
and Diana Sammataro
 "Spatial
Analysis, the Wisconsin
Idea and the UWSystem: The Use and Abuse of Dispersion
Statistics."
Frank E. Barmore
 "Revitalizing
Maps or Images?"
Sandra L. Arlinghaus and Ruben De la Sierra
 Book Review by
John D. Nystuen:
The Universe Below by William J. Broad.
 "Animated Four
Color Theorem:
Sample Map." Sandra Lach Arlinghaus
 "Animaps,
II." Sandra
Lach Arlinghaus
 Book Review by
Daniel Albert: Rising
Tide: The Great Mississippi Flood of 1927 and How it Changed
America
by John M. Barry
