File:Klein bottle.svg

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Original file(SVG file, nominally 250 × 480 pixels, file size: 404 KB)
Description
English: Klein bottle made with gnuplot 4.0.
Русский: Бутылка Клейна, сделанная в gnuplot 4.0.
Date
Source Own work
Author Tttrung
Lissajous small.svg
This W3C-unspecified plot was created with Gnuplot.

Licensing[edit]

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.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons

attribution share alike

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

You may select the license of your choice.

Gnuplot script[edit]

English: Save this script (slightly modified from [1] - see [2] for the page containing this model) 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.
Русский: Сохраните сценарий (незначительно модифицированный из [3] - см. [4] для страницы, содержащей эту модель) в файл "bottle", запустите коммандную строку "gnuplot bottle" и получите файл "bottle.svg". Необходим gnuplot 4.0 или более поздняя версия.
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
  • You cannot overwrite this file.

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