Geography/Geometry -- Visual Unity

Show simple item record Arlinghaus, Sandra Lach Arlinghaus, S. L. 2008-04-28T13:29:49Z 2008-04-28T13:29:49Z 2007-12-21
dc.identifier.citation Arlinghaus, Sandra L. "Geography/Geometry -- Visual Unity." Solstice: An Electronic Journal of Geography and Mathematics, Volume XVIII, Number 2. Ann Arbor: Institute of Mathematical Geography, 2007. Persistent URL (URI): en_US
dc.identifier.issn 1059-5325
dc.description Once the file is unzipped, launch hyperbolicgeometry.html in your browser window. Animation and color help to make complicated mathematical reasoning come to life. en_US
dc.description.abstract In 1986, an essay appeared couched in the language of projective geometry in which a theorem, linking harmonic conjugacy to perspective map projection, was proved to show the following (Harmonic Map Projection Theorem): Centers of map projection that are geometric inverses in relation to the poles of a sphere are harmonic conjugates in the projection plane in relation to the projected images of the poles of the sphere. As a special case of the observation above, it follows that gnomonic and orthographic projections, with inverse centers of projection in the sphere, are composed of points that are harmonic conjugates of each other in the plane [Arlinghaus, 1986]. en_US
dc.format.extent 6783024 bytes
dc.format.mimetype application/zip
dc.language.iso en_US en_US
dc.publisher Institute of Mathematical Geography en_US
dc.relation.ispartofseries Solstice, Volume XVIII, Number 2 en_US
dc.subject Map Projection en_US
dc.subject Projective Geometry en_US
dc.title Geography/Geometry -- Visual Unity en_US
dc.type Animation en_US
dc.type Article en_US
dc.type Image en_US
dc.type Image, 3-D en_US
dc.type Learning Object en_US
dc.subject.hlbsecondlevel Geography and Maps
dc.subject.hlbtoplevel Social Sciences
dc.description.peerreviewed Peer Reviewed en_US
dc.contributor.affiliationum Adjunct Professor of Mathematical Geography and Population-Environment Dynamics, School of Natural Resources and Environment en_US
dc.contributor.affiliationother Community Systems Foundation en_US
dc.contributor.affiliationother Arlinghaus Enterprises en_US
dc.contributor.affiliationumcampus Ann Arbor en_US
dc.owningcollname Mathematical Geography, Institute of (IMaGe)
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