File:Torus cycles2.svg

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Original file (SVG file, nominally 512 × 614 pixels, file size: 111 KB)

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Description
English: Homology cycles on a torus. Radius of magenta circle is and radius of red circle is . Image created in maxima with gnuplot backend and subsequently cropped manually using a text editor.
Date
Source Own work
Author Krishnavedala
Other versions
 
W3C-validity not checked.
 
This W3C-unspecified plot was created with Gnuplot.
This plot was created using maxima with gnuplot backend.
load(draw)$
R:15; r:5; eps:0.05;
x:(R + r * cos(phi)) * cos(theta);
y:(R + r * cos(phi)) * sin(theta);
z:r * sin(phi);
draw3d( terminal      = svg,
        file_name     = "Torus2",
        xtics         = none,
        ytics         = none,
        ztics         = none,
        axis_3d       = false,
        view          = [90,330],
        xu_grid       = 50,
        yv_grid       = 100,
        surface_hide  = true,
        color         = black,
        enhanced3d    = false,
        wired_surface = true,
        color         = gray,
        line_width    = 0.5,
        parametric_surface(z,y,x,phi,-%pi,%pi,theta,-%pi,%pi),
        color         = red,
        line_width    = 1,
        parametric((r+eps)*sin(t), 0, R + (r+eps)*cos(t), t,-%pi,%pi),
        color         = magenta,
        parametric(-r, R*sin(t), R*cos(t), t,-%pi, %pi),
        xrange=[-20,20]
       );

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

File history

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Date/TimeThumbnailDimensionsUserComment
current17:41, 28 August 2016Thumbnail for version as of 17:41, 28 August 2016512 × 614 (111 KB)MasterMatt (talk | contribs)New red and purple circles made with Inkscape
17:42, 15 April 2014Thumbnail for version as of 17:42, 15 April 2014512 × 614 (142 KB)Krishnavedala (talk | contribs)User created page with UploadWizard

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