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Topic: unification of conic sections with regular polyhedra
Replies: 8   Last Post: Oct 8, 2017 11:00 PM

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Posts: 18,572
Registered: 3/31/08
parallelepiped? 0 planes of symmetry? Re: unification of conic
sections with regular polyhedra

Posted: Oct 4, 2017 5:47 AM
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Now when we were all young and going to school, most of us were just so eager to learn, that we seldom bothered with questions of importance. We were just too busy soaking in the knowledge. One of those questions that sticks out, is the question of conics? Why put two cones together at their apex and slice them with a knife for geometry figures of interest?

Why not two pyramids at apex?

Why not a cube with sphere on a vertex?

Why not a parallelepiped on vertex with the same parallelepiped?

Curious as to how many planes of symmetry a parallelepiped has? I would guess 0, but Wikipedia is calling it a zonohedron.


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