File:Klein bottle.svg

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Klein_bottle.svg(SVG file, nominally 250 × 480 pixels, file size: 404 KB)

[edit] Summary

English: Klein bottle made with gnuplot 4.0.

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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Creative Commons license
Creative Commons Attribution Creative Commons Share Alike
This file is licensed under the Creative Commons Attribution ShareAlike 3.0 License. In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it only under a license identical to this one. Official license

This licensing tag was added to this file as part of the GFDL licensing update.


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Creative Commons license
Creative Commons Attribution Creative Commons Share Alike
This file is licensed under the Creative Commons Attribution ShareAlike 2.5, Attribution ShareAlike 2.0 and Attribution ShareAlike 1.0 License. In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it only under a license identical to this one.

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[edit] Gnuplot script

Save this script (slightly modified from [1]) to file "bottle" then run the command line "gnuplot bottle", you will get bottle.svg, if you have well installed gnuplot 4.0 or later.

x(u,v)= v<pi ? (2.5-1.5*cos(v))*cos(u): \
        v<2*pi ? (2.5-1.5*cos(v))*cos(u):\
        v<3*pi ? -2+(2+cos(u))*cos(v): -2+2*cos(v)-cos(u)
y(u,v)= v<pi ? (2.5-1.5*cos(v))*sin(u): \
        v<2*pi ? (2.5-1.5*cos(v))*sin(u): \
        v<3*pi ? sin(u): sin(u)
z(u,v)= v<pi ? -2.5*sin(v): v < 2*pi ? 3*v-3*pi:\
        v<3*pi ? (2+cos(u))*sin(v)+3*pi: -3*v+12*pi
set parametric
set pm3d explicit
set pal rgb 9,9,3
unset colorbox
unset key
unset border
unset xtics
unset ytics
unset ztics
set hidden3d
set surface
set ticslevel 0
set size square
set view 60,210,1.5,1
set isosamples 18,48
set xrange[-8:10]
set yrange[-9:9]
set urange[0:2*pi]
set vrange[0:4*pi]
set term svg
set out "bottle.svg"
set multiplot
splot x(u,v),y(u,v),-z(u,v) w pm3d
splot x(u,v),y(u,v),-z(u,v) lt 4
unset multiplot

File history

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

Date/TimeThumbnailDimensionsUserComment
current05:26, 17 August 2007Thumbnail for version as of 05:26, 17 August 2007250×480 (404 KB)Oleg Alexandrov (Talk | contribs) (Strip the whitespace around the figure)
15:39, 18 July 2006Thumbnail for version as of 15:39, 18 July 2006600×480 (271 KB)Tttrung (Talk | contribs) (Made with gnuplot 4.0)

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