An Electronic Journal of
Geography and Mathematics


Persistent URL:

Founded in 1990.

Cite articles as:  Author names(s), Year.  Title of article, Solstice:  An Electronic Journal of Geography and Mathematics,
Vol. XX, No. YY.  Ann Arbor:  Institute of Mathematical Geography

Deep Blue

IMaGe Home

Solstice Home
Institute of Mathematical Geography, All rights reserved in all formats.
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Final version of IMaGe logo created by Allen K. Philbrick from original artwork from the Founder.

December, 2017

28 is a perfect number--the sum of its proper divisors.
28 = 1 + 2 + 4 + 7 + 14.


In response to reader comments, this issue of Solstice is devoted entirely to displaying, in pdf format, the current state of the persistent IMaGe archive housed in Deep Blue at The University of Michigan.  The linked file was formed using Adobe Acrobat Pro and downloading the archive directly from the university server, through two levels of links all on the same path.  The downloaded collection was then edited to remove extra pages for which the search turned up no results (such as for co-authors from outside the university with no independent other entries within Deep Blue).  The original download had 300 pages; the edited version has 161 pages.  There are 460 separate entries in the archive.  These 161 pages show the pages of the collection as created in Deep Blue; they do not show the files of articles, themselves.  Rather, they show links to those files that are already stored in the persistent archive as well as some external links (which may or may not be persistent).  So, these pages represent the collection framework within which perpetually-maintained IMaGe files (and others) are placed.  Kudos to Jim Ottaviani of Deep Blue for his outstanding work in developing the entire Deep Blue archive!

Linked archive:  Deep Blue as of December 2017.

A recent link from George Mokray: 

The 25 Interrelations of the Platonic Solids

In Memoriam:

Frederick L. Goodman, d. August 8, 2017.

author, colleague, friend, and mentor to so many of us!

2.  Editorial Board, Advice to Authors, Mission Statement
3.  Awards



  Selected News...
  1. Work progressing on forthcoming book, Spatial Thinking in Environmental Contexts:  Maps, Archives, and Timelines.  Editors and co-authors:  Sandra L. Arlinghaus, Joseph Kerski, Ann Evans Larimore, Matthew Naud.  Due at CRC Press in the summer of 2018.
  2. Quaestiones Geographicae, Special Issue.
  3. Chene Street History Project.
  4. Spatial Mathematics:  Theory and Practice Through Mapping. Sandra L. Arlinghaus and Joseph Kerski, (2013), CRC PressLinked video.  Published July 2013, 
  5. The work above is the first volume in a series of books to be published by CRC Press in its series "Cartography, GIS, and Spatial Science:  Theory and Practice."  If you have an idea for a book to include, or wish to participate in some other way, please contact the series Editor, Sandra L. Arlinghaus.
  6. Virtual Cemetery with William E. Arlinghaus; an ongoing project that continues in development run in the virtual world in parallel with the trust-funded model of a real-world cemetery.


Solstice:  An Electronic Journal of Geography and Mathematics
Institute of Mathematical Geography (IMaGe).
All rights reserved worldwide, by IMaGe and by the authors.
Please contact an appropriate party concerning citation of this article:

Solstice was a Pirelli INTERNETional Award Semi-Finalist, 2001 (top 80 out of over 1000 entries worldwide)

One article in Solstice was a Pirelli INTERNETional Award Semi-Finalist, 2003 (Spatial Synthesis Sampler).

Solstice is listed in the Directory of Open Access Journals maintained by the University of Lund where it is maintained as a "searchable" journal.

Solstice is listed on the journals section of the website of the American Mathematical Society,
Solstice is listed in Geoscience e-Journals
IMaGe is listed on the website of the Numerical Cartography Lab of The Ohio State University:
Ulrich's lists online journal availability for full text sources:
  • Colorado Alliance of Research Libraries
    • Open Access Digital Library, 01/01/1990-
  • Directory of Open Access Journals
    • Directory of Open Access Journals, 1990-
  • EBSCOhost
    • Academic Search Complete, 12/01/2006-
    • Academic Search R&D, 06/01/2006-
  • Geoscience e-Journals
    • Geoscience e-Journals, 1990-
  • HEAL Link
    • Hellenic Academic Libraries Link, 1990-
  • Multiple Vendors
    • Freely Accessible Science Journals, 1990-
  • National Institute of Standards and Technology
    • National Institute of Standards and Technology Virtual Library, 1990-
  • Universitätsbibliothek Regensburg
    • Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals, 1990-
  • 中国教育图书进出口公司 (China Educational Publications Import & Export Corporation)
    • Socolar, 2004-2010

Abstracting and Indexing Databases:
Review posted on Ulrich's site:

An interesting example of a privately issued electronic journal. As described in the mission statement of the journal, "The purpose of Solstice is to promote interaction between geography and mathematics." Articles are scholarly in presentation, with clear illustrations and charts. A number of the articles are written by the editor; the editorial advisory board lists individuals from throughout the country. Libraries should review and consider adding this to their collection of electronic journals. 
ML 11-15-1997

Library of Congress Number:  G70.23
Dewey Decimal System Numbers:  526, 510.

Congratulations to all Solstice contributors.
Remembering those who are gone now but who contributed in various ways to Solstice or to IMaGe projects, directly or indirectly, during the first 28 years of IMaGe:

Allen K. Philbrick  Alma S. Lach   Donald F. Lach | Frank Harary | William D. DrakeH. S. M. Coxeter | Frederick L. Goodman  | Saunders Mac Lane | Chauncy D. Harris | Norton S. Ginsburg | Sylvia L. Thrupp | Arthur L. Loeb | George Kish
1964 Boulder Drive,
Ann Arbor, MI 48104