Jump to content
BrainDen.com - Brain Teasers
  • 0

Slicing up n-d shapes.


BMAD

Question

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?
Link to post
Share on other sites

6 answers to this question

Recommended Posts

  • 0

Hexagon - Hanging it from one vertices will cause another to be at the very bottom. The remaining six vertices will be equidistant from a horizontal plane cut through the center, three above and three below. All six sides of the cube will pass through the horizontal plane, each with the same percentage of their area above or below the plane. (Three will be reversed from the other three) The shape created on the horizontal plane will have six sides with equal length and equal angles between then - Hexagon


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...