File:Hyperbolic ar.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 543 × 410 pixels. Other resolutions: 318 × 240 pixels | 636 × 480 pixels | 1,017 × 768 pixels | 1,280 × 966 pixels | 2,560 × 1,933 pixels.
Original file (SVG file, nominally 543 × 410 pixels, file size: 4 KB)
Captions
Captions
2-dimensional slice of 3D hyperbolic space embedded in M^4 showing a green straight line between two points
Summary[edit]
| Description |
English: The length of a geodesic in hyperbolic space H^3 is straightforward to calculate if H^3 is embedded in R^4. This is useful for FLRW cosmology. |
| Date | |
| Source | Own work; This image and Fig. 2 of Mon.Not.Roy.Astron.Soc. 325 (2001) 138; doi:10.1046/j.1365-8711.2001.04392.x are both derivatives of the same original source code by me. |
| Author | Boud |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
xfig source code[edit]
The .svg version of the file is produced by
- the following .fig source code,
- several command line options: xfig -specialtext -latexfonts -startlatexFont default FILENAME.fig, and
- exporting to .svg format.
#FIG 3.2 Produced by xfig version 3.2.6a
Landscape
Center
Metric
A4
100.00
Single
-2
1200 2
5 1 0 3 0 7 0 0 -1 0.000 0 1 0 0 3601.932 -1679.005 787 1557 3600 2610 6382 1587
5 1 0 12 12 7 0 0 -1 0.000 0 1 0 0 3443.804 -2118.018 3615 2625 4837 2419 5752 2029
1 3 0 1 7 7 100 0 -1 0.000 1 0.0000 7065 615 54 54 7065 615 7095 660
1 3 0 1 7 7 100 0 -1 0.000 1 0.0000 330 5670 76 76 330 5670 405 5685
2 1 0 3 0 7 100 0 -1 0.000 0 0 -1 0 0 2
855 4980 6330 4980
2 1 0 3 0 7 100 0 -1 0.000 0 0 -1 0 0 2
3615 1332 3615 5415
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
3930 2272 4005 2190
2 1 2 3 0 7 0 0 -1 6.000 0 0 -1 0 0 2
5707 2037 3622 2052
2 1 2 3 0 7 0 0 -1 6.000 0 0 -1 0 0 2
6750 1800 3165 5415
2 1 2 3 0 7 0 0 -1 6.000 0 0 -1 0 0 2
4035 5400 450 1800
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
5816 1646 5891 1564
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
3397 1890 3472 1808
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
5793 5236 5868 5154
2 1 2 3 0 7 0 0 -1 6.000 0 0 -1 0 0 2
5760 2070 5760 4995
2 1 0 3 0 7 100 0 -1 0.000 0 0 -1 0 0 2
3630 4995 5760 2037
4 0 0 100 0 0 24 0.0000 4 270 300 6525 5130 X\001
4 0 0 100 0 2 24 0.0000 4 195 210 3735 2430 a\001
4 0 0 100 0 0 18 0.0000 4 195 135 3915 2527 1\001
4 0 0 100 0 2 24 0.0000 4 195 210 5632 1822 a\001
4 0 0 100 0 0 18 0.0000 4 195 135 5805 1882 2\001
4 0 0 100 0 0 24 0.0000 4 270 390 3435 1253 W\001
4 0 0 0 0 0 24 0.0000 4 180 525 2910 2062 =w\001
4 0 0 100 0 0 18 0.0000 4 195 135 3345 2182 2\001
4 0 0 100 0 0 24 0.0000 4 270 270 3270 2925 R\001
4 0 0 100 0 0 18 0.0000 4 195 135 5775 5498 2\001
4 0 0 0 0 0 24 0.0000 4 180 540 5287 5377 = x\001
4 0 0 0 0 32 24 0.0000 4 375 210 5025 5385 f\001
4 0 0 0 0 0 24 0.0000 4 270 1080 3952 5380 R sinh\001
4 0 0 0 0 32 24 0.0000 4 375 210 2590 1880 f\001
4 0 0 0 0 0 24 0.0000 4 270 1140 1387 1880 R cosh\001
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:53, 29 September 2020 | | 543 × 410 (4 KB) | Boud (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
