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Guest Message by DevFuse

# Slicing up n-d shapes.

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Posted 18 September 2013 - 02:14 AM

Hang a cube from one of its vertices. Now, if you slice it horizontally through its center, what 2-d shape will the slice yield?

What if you do this with a 4-dimensional cube, i.e., a tesseract? The slice will yield a 3-dimensional object--- what does it look like?

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### #2 DeGe

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Posted 18 September 2013 - 09:44 AM

Spoiler for Cube cut

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Posted 18 September 2013 - 11:52 PM

Spoiler for Cube cut

If the cube was laying flat you would be right.  But hanging it by a vertex causes a different shape.

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### #4 DeGe

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Posted 19 September 2013 - 08:34 AM

If the cube was laying flat you would be right.  But hanging it by a vertex causes a different shape.

Aha, I answered for hanging by an edge and not vertex.

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### #5 bonanova

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Posted 20 September 2013 - 09:31 AM

Spoiler for actually it would be

Can you hang a 4-d object in 3-d space?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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### #6 jordge

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Posted 20 September 2013 - 01:59 PM

Spoiler for my answer

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Posted 23 September 2013 - 01:00 PM

now what about the tesseract?

Presume the same action were possible

Edited by BMAD, 23 September 2013 - 01:02 PM.

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