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#1 2008-08-27 01:01:37

atreyyu
Member
Registered: 2008-08-01
Posts: 5

Orthogonal projection

Does there exist a polyhedron, whose orthogonal projections on some three planes are a quadrilateral, a hexagon and an octagon?

Please help me with this one, I also need a short justification. Thanks smile

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#2 2008-08-28 09:17:02

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Orthogonal projection

Haven't thought about this too hard, but can't you make a shape that appears as each of those when projected onto three planes that all make right-angles with each other?

I'm pretty sure you can pick any three shapes you like as long as the planes are like that.


Why did the vector cross the road?
It wanted to be normal.

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