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Does it exist a free interactive geometry software, like GeoGebra, which works for 3D geometry? I would be able to draw spheres, great circles, and so on.

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Perhaps you will get a better answer if you post at tex-latex.stackexchange.com –  anonymous Sep 3 '10 at 20:17
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Well, I am searching for an interactive software. ArchimedesGeo3d (en.wikipedia.org/wiki/Archimedes_Geo3D) seems quite good. –  zar Sep 3 '10 at 21:34
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8 Answers

There will be a public preview of GeoGebra 3D soon. Keep an eye on the GeoGebra forums :)

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Wow, very good! –  zar Oct 2 '10 at 12:14
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Geomview is fairly flexible, and allows you to work in Euclidean, spherical or hyperbolic geometry. Depending on which operating system you use it might be easier or harder to get it installed. It made it into the Ubuntu repositories recently, so if you're running Ubuntu it takes little effort to install.

That said, it's not the easiest software to use -- quite a ways away from the interface of GeoGebra. More often than not, if I need a high-quality rendered image of something 3-dimensional, I code a PovRay script and render it.

Blender is open-source and interactive. It appears to be quite flexible -- it's used to produce models for 3d video games, for example. I haven't really got comfortable using it, though.

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I'm a POV-Ray fan too; this however requires you to specify positions as coordinates instead of being able to interactively move objects around. Some skill in coordinate geometry is really needed for its proper use. –  J. M. Sep 4 '10 at 23:05
    
True. A 3d package of the quality of GeoGebra would be most welcome. –  Ryan Budney Sep 4 '10 at 23:11
    
For the unfamiliar: blender.org . There's a portable version if you don't want to bother with installing and you just want to try it out: portableapps.com/apps/graphics_pictures/blender_portable –  J. M. Sep 5 '10 at 23:05
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You can try pgftikz http://www.texample.net/tikz/examples/

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It is a very good software! But it isn't interactive. I would like to construct my figures and manipulate it. –  zar Sep 3 '10 at 21:35
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I think you can, to a limited extent, use Google Sketchup, but that's not really the same.

Cabri3D is probably the most like what you want, but it's commercial. Autograph, also commercial, may do some of that kind of stuff, but I'm not sure.

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@JM: oops. I didn't mean GrafEq, which I really like but as you said doesn't do anything like this; I meant Autograph. –  Isaac Sep 4 '10 at 1:29
    
Isaac: FWIW, the only reason I remember is that I used it incessantly to draw curves, pre-Mathematica. Also because the guy who wrote it has a "self-referential" equation named after him. :) –  J. M. Sep 4 '10 at 22:57
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Try kd3-surf if you haven't yet found it at http://k3dsurf.sourceforge.net/

Free software and small file size, easy to manipulate.

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If you're on a mac, theres a plotting software build in.
Go to Applications / Utilities / Grapher.
It's easy and powerful, can plot 2D and 3D graphs.

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If you're a programmer, you might have some luck with Octave and the ezmesh function

A MATLAB tutorial is available here. Usually Octave functions behave exactly like MATLAB ones, but I haven't tried it yet.

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