I don't believe we have anything like this yet, but it seems it could  
be (relatively) easily built on top of the new and very cool 3d  
implicit plotting functionality.

- Robert

On May 15, 2009, at 1:42 AM, Jurgis Pralgauskis wrote:

>
> Hello,
>
> stereometry needs imagination or more experience,
> to understand cross-sections and so on
>
> I found some interactive example
> http://www.learner.org/courses/learningmath/geometry/session9/ 
> part_c/index.html
>
> I'd like to have sage interact for solid construction and
> cutting_plane parameters
> and then view it around via jmol :)
>
> in school this is  mostly needed for parallelepiped or pyramid solids:
>
> mysolid = SomeSolid(apex_points_3D)
> # and I can get, mysolid.surface_planes()
> #so I'd expect to have algorithms which detect
>
> intersection = Intersection(mysolid, cutting_plane)
> # we get some 2D polygon,
> # probably first analytically find    intersection.lines
> # and then  solve the
> # self.segmets = self.endpoints (self.lines , self.mysolid)
> # for conic would be some different approach ...
>
> intersection.fill() # or draw() would draw some lines or color to  
> show it
>
>
> what does sage have already, and what would need to be hacked?
>
> Thanks in advance :)
>
> ps.: just for reference
> http://en.wikipedia.org/wiki/Cross_section_(geometry)
> http://en.wikipedia.org/wiki/Conic_section
>
> -- 
> Jurgis Pralgauskis
> Don't worry, be happy and make things better ;)
>
> >


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