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I'm looking for a way to draw 3D surfaces in LaTeX with triangles on them to show the sum of angles being >, =, or < 180 degrees, exactly as in this photo

this photo
(source: space.com)
.

I'd just like to do it myself, but I'm rather overwhelmed by the array of options available, and not sure where to start (nor how to do it). Thank you.

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zjw518
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    Of the tools often discussed here, then Asymptote is probably the most capable for 3D graphics. But perhaps you would prefer to draw this with a tool like Mathematica and generate a graphics file that you could include in your LaTeX document with graphicx package? Or even just include this picture? – Thruston Dec 30 '15 at 17:54
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    This might be of help: http://tex.stackexchange.com/questions/254820/tikz-pair-of-compasse-rendering-contest/254866?s=2|0.4408#254866 – John Kormylo Dec 30 '15 at 22:56
  • Another possibility could be use GeoGebra as described here – vi pa Sep 10 '19 at 09:22
  • This can help: https://tex.stackexchange.com/questions/446325/a-hyperbolic-triangle-embedded-in-a-saddle-shaped-surface?noredirect=1&lq=1 – vi pa Sep 10 '19 at 09:40

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