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.
Works best with a high speed internet connection.
Final version of IMaGe logo created by Allen K. Philbrick from original artwork from the Founder.

December, 2016

The word clouds (formed in Tagxedo, online) serve as a visual "abstract" of the adjacent article!

Symmetry Groups

William C. Arlinghaus

Maps, Archives, and Timelines:  Revisiting the 'GEOMAT Project

Sandra L. Arlinghaus, Robert Haug, and Ann E. Larimore

Tangled Realities

Sandra L. Arlinghaus and William E. Arlinghaus


  • Geometry Links from George Mokray....a hat tip to George from IMaGe!

Geometric and other apps
PolygonJazz - the music of the polygons
Geom-E-Tree - app for fractal tree structures

Watch a spider weave a web

Rivers of the United States in rainbow colors - I’d like to see a version of this map which does not stop at national borders but shows the full watersheds of North and South America

Heat shrinking metamaterials

Eno Henze’s artworks

Echoes - a fractal animation by Chris Bjerre

Robert Lang origami exhibit at Huntington Library in San Marino, CA

Hiromi Tango, biological sculpture performance artist

New George Hart sculpture

New Chuck Hoberman installation

Composite cellular morphing wing


Their latest piece is Ventricle
Here’s a making-of video of another piece, We Are Flowers

AVA, a geodesic scientific installation
Hmmm, I wonder if these folks would be interested in making a Geosphere to play the World Game.

Slide show of human-sized bird nests

Gozinta Boxes

Chirming - birdsongs as mandalas

Animated color coded graphics of meteorology and weather systems

2016 Information Is Beautiful Award Nominees

oxDNA - a simulation for polyhedral nanostructures built with DNA

DNA gallery:

Paul Klee’s notebooks and teaching journals online

Polygons - a folding measuring spoon with four sizes

New detailed 3D map of the Earth

Brendan Ravenhill’s version of Fuller and Sadao’s dymaxion folding globe

Visualizing numbers

Global shipping map

3D star map based upon Gaia satellite data

Left to right, Halil Inalcik, William H. McNeill, Donald F. Lach, c. 1970.  Photographed in Cappadocia by Alma Lach.

In the In

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



  1. Quaestiones Geographicae, Special Issue.
  2. Chene Street History Project.
  3. Spatial Mathematics:  Theory and Practice Through Mapping. Sandra L. Arlinghaus and Joseph Kerski, (2013), CRC PressLinked video.  Published July 2013, 
  4. 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.
  5. 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 | Saunders Mac Lane | Chauncy D. Harris | Norton S. Ginsburg | Sylvia L. Thrupp | Arthur L. Loeb | George Kish
1964 Boulder Drive,
Ann Arbor, MI 48104