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        riddles >> easy >> Wasted Space
        
(Message started by: Noke Lieu on Feb 19^th, 2009, 6:05pm)

Title: Wasted Space
Post by Noke Lieu on Feb 19^th, 2009, 6:05pm

(seems like an obvious question, but couldn't find somethign like it)

Make a net of 1x2x3 rectangular prism.
Bound that net with a rectangle.

Which net wastes the most space compared to its rectangle, which the least?

(to help clarify, an example with tetrahedron nets)

Title: Re: Wasted Space
Post by towr on Feb 22^nd, 2009, 8:50am

So by "net", do you mean an unfolded surface of those objects?
I'm not familiar with the term (but obviously once has to be the first time).

Title: Re: Wasted Space
Post by rmsgrey on Feb 22^nd, 2009, 8:58am

on 02/22/09 at 08:50:30, towr wrote:

So by "net", do you mean an unfolded surface of those objects?
I'm not familiar with the term (but obviously once has to be the first time).

Yes, "net" is a standard term for a planar shape that can be folded to form the surface of a 3D object.

Title: Re: Wasted Space
Post by Grimbal on Feb 22^nd, 2009, 1:57pm

Something like this?

Title: Re: Wasted Space
Post by Noke Lieu on Feb 22^nd, 2009, 9:30pm

yes.
and no- nets (from what I understand...) require 1 polygon per face...
nice solution though. Been struggling with showing why what I think is the answer is the answer... but that's why I left it in easy.

Title: Re: Wasted Space
Post by ThudanBlunder on Feb 23^rd, 2009, 7:26am

on 02/22/09 at 13:57:50, Grimbal wrote:

Something like this?

I thought it would be obvious the answer to this self-descriptive problem is that nets of zero (or imaginary) dimensions waste the least space. :P If anybody gets awkward and insists on 3 dimensions, we can always compactify them while they are not looking. Welcome to the world of dimensional dementia.