Image:Klein bottle.svg

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

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Summary

English: Klein bottle made with gnuplot 4.0.

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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This file is licensed under the Creative Commons Attribution ShareAlike license versions 2.5, 2.0, and 1.0

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Gnuplot script

Save this script (slightly modified from ) 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/Time Dimensions User Comment
current 05:26, 17 August 2007 250×480 (404 KB) Oleg Alexandrov (Strip the whitespace around the figure)
15:39, 18 July 2006 600×480 (271 KB) Tttrung (Made with gnuplot 4.0)
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