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INTRODUCTION TO THE SPECIAL ISSUE*
about harmonic conjugacy in association with true perspective
projections of the globe to a mapping plane. Learn how all
perspective mapping is captured by this projective geometric
Projective geometry is a
non-Euclidean geometry that sits atop all other non-Euclidean
geometries. It is the most general geometry and possesses
complete symmetry. The infinite is no different from the
ordinary. Two points determine a line; two lines determine a
point. Indeed, "parallel" lines intersect at a point at infinity
(at least to our Euclidean-trained minds). There is complete
Because the academic curriculum is focused almost entirely on Euclidean
geometry, the constructions of projective geometry, which are quite
beautiful, remain hidden from most. They appear "unnatural" and
"non-intuitive." The extra capability of the internet and related
software permits animating difficult to visualize projective scenes and
the instantaneous sharing of these across a wide range of locales.
This issue of Solstice shares several important projective
- Harmonic conjugacy
- Constructions associated with conics
in the projective plane.
- Desargues's Two-Triangle theorem.
to the memory of Professor H.S.M. Coxeter,
was a Pirelli INTERNETional
Award Semi-Finalist, 2001 (top 80 out of over 1000 entries worldwide)
article in Solstice was a Pirelli
INTERNETional Award Semi-Finalist, 2003 (Spatial Synthesis Sampler).
is listed in the Directory of Open
Journals maintained by the University of Lund where it is
as a "searchable" journal.
is listed on the journals section of the website of the American
- Solstice is listed
is listed in the EBSCO
is listed on the website of the Numerical Cartography Lab of The Ohio
to all Solstice contributors.
An Electronic Journal of Geography and Mathematics,
XVIII, Number 2
of Mathematical Geography (IMaGe).
rights reserved worldwide, by IMaGe and by the authors.
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