Geography/Geometry -- Visual Unity
dc.contributor.author | Arlinghaus, Sandra Lach | |
dc.date.accessioned | 2008-04-28T13:29:49Z | |
dc.date.available | 2008-04-28T13:29:49Z | |
dc.date.issued | 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): http://hdl.handle.net/2027.42/58307 | en_US |
dc.identifier.issn | 1059-5325 | |
dc.identifier.uri | https://hdl.handle.net/2027.42/58307 | |
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.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/58307/1/VisualUnity.zip | |
dc.owningcollname | Mathematical Geography, Institute of (IMaGe) |
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