Image:Sphere with chart.png

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A sphere with the chart mapping the upper hemisphere to a disk.

Created by me using Matlab.

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

[edit] Matlab source

clf;
hold on;
colormap([0 0 1; 1 0.2 0.2; 1 0 0; 0 0 0]);

[sx,sy,sz] = sphere(49);
sc = [ ones(24,50); 2*ones(26,50) ];
surf(sx,sy,sz, sc, 'EdgeColor', 'none', 'FaceColor', 'flat', ...
     'FaceLighting', 'phong');

sz2 = 2*ones(50,50);
sc2 = 3*ones(50,50);
surf(sx,sy,sz2, sc2, 'EdgeColor', 'none', 'FaceColor', 'flat', ...
     'FaceLighting', 'phong', 'FaceAlpha', 0.5);

[cx,cy,cz] = cylinder([0.005 0.005]);
cc = 4*ones(size(cx));

surf(cx+1, cy,   2*cz, cc);
surf(cx-1, cy,   2*cz, cc);
surf(cx,   cy+1, 2*cz, cc);
surf(cx,   cy-1, 2*cz, cc);
surf(cx,   cy,   cz+1, cc);

view(3);
camlight left;
axis equal;
axis off;
print -dpng spc_tmp.png
system('convert -trim spc_tmp.png spc.png');

• Manifold
• Solution of the Poincaré conjecture