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Relation5models.png(299 × 332 pixels, file size: 9 KB, MIME type: image/png)

Summary

Description
English: Poincaré disk, hemispherical and hyperboloid models are related by central projection from −1. Klein disk model is vertical projection from hemispheric model. Poincaré half-plane model here projected from the hemisphere model by rays from left end of Poincaré disk model.
Date 7 March 2012 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. Selfstudier assumed (based on copyright claims).
Other versions
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see  Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{ vector version available|new image name}}.


It is recommended to name the SVG file “Relation5models.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Information

Captions

Relations between hyperboloid and hemisphere models, Klein and Poincaré disks, and the half plane via stereographic and orthographic projections.

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current 11:38, 7 March 2012 Thumbnail for version as of 11:38, 7 March 2012299 × 332 (9 KB) Selfstudier
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Metadata

This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Relation5models.png(299 × 332 pixels, file size: 9 KB, MIME type: image/png)

Summary

Description
English: Poincaré disk, hemispherical and hyperboloid models are related by central projection from −1. Klein disk model is vertical projection from hemispheric model. Poincaré half-plane model here projected from the hemisphere model by rays from left end of Poincaré disk model.
Date 7 March 2012 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. Selfstudier assumed (based on copyright claims).
Other versions
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see  Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{ vector version available|new image name}}.


It is recommended to name the SVG file “Relation5models.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Information

Captions

Relations between hyperboloid and hemisphere models, Klein and Poincaré disks, and the half plane via stereographic and orthographic projections.

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current 11:38, 7 March 2012 Thumbnail for version as of 11:38, 7 March 2012299 × 332 (9 KB) Selfstudier
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Metadata


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