File:KleinBottle-01.svg
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Summary
DescriptionKleinBottle-01.svg |
English: This immersion of the Klein bottle into R3 is given by the following parameterization. Here the parameters u and v run from 0 to 2π and r is a fixed positive constant (=1 in this figure).
For : For : |
Date | |
Source | Own work |
Author | Krishnavedala |
SVG development InfoField | |
Source code InfoField | Maxima source codex1:6*cos(u)*(1+sin(u)) + 4*(1-0.5*cos(u))*cos(u)*cos(v);
x2:6*cos(u)*(1+sin(u)) - 4*(1-0.5*cos(u))*cos(v);
y1:16*sin(u)+4*(1-0.5*cos(u))*sin(u)*cos(v);
y2:16*sin(u);
z1:4*(1-0.5*cos(u))*sin(v);
x : (if u<%pi then (x1) else (x2));
y : (if u<%pi then (y1) else (y2));
z : z1;
plot3d([x,y,z], [u,0,2*%pi], [v,0,2*%pi], [axes,false], [box,false], [palette,
get_plot_option(palette,3)], [azimuth,30], [elevation,150], [legend,false],\
[gnuplot_term,default], [gnuplot_out_file,"~/Desktop/test.svg"]);
|
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Items portrayed in this file
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21 May 2011
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 02:56, 22 May 2011 | 668 × 600 (220 KB) | AnonMoos | adjusting margins | |
02:31, 22 May 2011 | 600 × 480 (220 KB) | Krishnavedala |
File usage
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- Topologie algébrique
- Propriété locale
- Variété topologique
- Espace topologique irréductible
- Théorème de van Kampen
- Topologie d'Alexandroff
- Critère de métrisabilité de Nagata-Smirnov
- Revêtement (mathématiques)
- Longue droite
- Point d'accumulation (mathématiques)
- Frontière (topologie)
- Fermé (topologie)
- Topologie grossière
- Intérieur (topologie)
- Catégorie:Wikipédia:ébauche topologie
- Base (topologie)
- Espace de Kolmogorov
- Espace R0
- Espace T1
- Groupe d'homotopie
- Espace localement simplement connexe
- Topologie forte
- Bourse de Fortunatus
- Continu indécomposable
- Section d'un fibré
- Conjecture de Milnor (théorie des nœuds)
- Théorie de l'obstruction
- Ensemble maigre
- Feuilletage de Reeb
- Espace résoluble
- Transgression (mathématiques)
- Spectre de la K-théorie
- Usage on it.wikipedia.org
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- Usage on uk.wikipedia.org
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Image title | Produced by GNUPLOT 4.4 patchlevel 3 |
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