File:TorusSystoleLoop.png
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Size of this preview: 729 × 600 pixels. Other resolutions: 292 × 240 pixels | 583 × 480 pixels | 933 × 768 pixels | 1,078 × 887 pixels.
Original file (1,078 × 887 pixels, file size: 132 KB, MIME type: image/png)
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Summary
[edit]DescriptionTorusSystoleLoop.png |
English: A torus with varying tube radius with another torus indicating the smallest radius of the tube. |
Date | |
Source | Own work using MATLAB |
Author | RobHar |
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with
{{vector version available|new image name}} .
It is recommended to name the SVG file “TorusSystoleLoop.svg”—then the template Vector version available (or Vva) does not need the new image name parameter. |
Data file
[edit]This graphic was created in MATLAB using the following code:
%create u-v grid space u=linspace(0,2*pi,120); v=linspace(0,2*pi,120); [u,v]=meshgrid(u,v); R=0.5; %set large radius of torus r=abs(cos(v/2))*0.2+0.05; %set small radius to vary with angle %parametrization x=(R+r.*cos(u)).*cos(v); y=(R+r.*cos(u)).*sin(v); z=r.*sin(u); H=surf(x,y,z); hold on; %put a hold on this figure set(H,'FaceColor',[0.25 0.25 0.75],'EdgeColor','none'); set(H,'SpecularColorReflectance', 0.2, 'DiffuseStrength', 0.8); set(H,'AmbientStrength', 0.3,'FaceLighting','phong'); set(H,'SpecularExponent', 100); daspect([1 1 1]); %set ratio of x,y,z axes axis tight; %fit axes to figure axis off; %don't show axes view(190, 40); %set viewing angle camlight (-50, 54); lighting phong; %add light source %add another torus to show tightest place on the torus R2=0.075; r2=0.025; x2=(R2+r2.*cos(u)).*cos(v)-0.5; y2=r2.*sin(u); z2=(R2+r2.*cos(u)).*sin(v); H2=surf(x2,y2,z2); set(H2,'FaceColor',[0.75 0.25 0.25],'EdgeColor','none'); set(H2,'SpecularColorReflectance', 0.2, 'DiffuseStrength', 0.8); set(H2,'AmbientStrength', 0.5,'FaceLighting','phong'); set(H2,'SpecularExponent', 100);
Licensing
[edit]Public domainPublic domainfalsefalse |
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:35, 19 December 2008 | 1,078 × 887 (132 KB) | RobHar (talk | contribs) | {{Information |Description={{en|1=A torus with varying tube radius with another torus indicating the smallest radius of the tube.}} |Source=Own work using MATLAB |Author=RobHar |Date=2008-12-19 |Permission= |other_versions= }} <!--{{Image |
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