Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Slicing up n-d shapes.


  • Please log in to reply
6 replies to this topic

#1 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1702 posts
  • Gender:Female

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?

  • 0

#2 DeGe

DeGe

    Advanced Member

  • Members
  • PipPipPip
  • 128 posts
  • Gender:Male
  • Location:Paris

Posted 18 September 2013 - 09:44 AM

Spoiler for Cube cut


  • 0

#3 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1702 posts
  • Gender:Female

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.


  • 0

#4 DeGe

DeGe

    Advanced Member

  • Members
  • PipPipPip
  • 128 posts
  • Gender:Male
  • Location:Paris

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.


  • 0

#5 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5918 posts
  • Gender:Male
  • Location:New York

Posted 20 September 2013 - 09:31 AM

Spoiler for actually it would be

Can you hang a 4-d object in 3-d space?
  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#6 jordge

jordge

    Newbie

  • Members
  • Pip
  • 19 posts
  • Gender:Male

Posted 20 September 2013 - 01:59 PM

Spoiler for my answer


  • 0

#7 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1702 posts
  • Gender:Female

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.

  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users