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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