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Topic: Wasted Space (Read 643 times) |
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Noke Lieu
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(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)
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towr
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Re: Wasted Space
« Reply #1 on: Feb 22nd, 2009, 8:50am » |
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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).
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rmsgrey
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Re: Wasted Space
« Reply #2 on: Feb 22nd, 2009, 8:58am » |
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on Feb 22nd, 2009, 8:50am, 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). |
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Yes, "net" is a standard term for a planar shape that can be folded to form the surface of a 3D object.
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Grimbal
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Something like this?
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Noke Lieu
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Re: Wasted Space
« Reply #4 on: Feb 22nd, 2009, 9:30pm » |
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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.
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ThudnBlunder
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Re: Wasted Space
« Reply #5 on: Feb 23rd, 2009, 7:26am » |
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on Feb 22nd, 2009, 1:57pm, Grimbal wrote:
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.  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.
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| « Last Edit: Feb 26th, 2009, 9:01am by ThudnBlunder » |
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