Robert Bradshaw wrote:
> 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.
>   

Also, the region parameter should be very useful for this (which 
basically implements nice clipping of 3d objects).  See 
http://trac.sagemath.org/sage_trac/ticket/5514 for a not-quite-finished 
patch.

Jason

> - 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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