• 0

more difficult dissection: the square

Question

Posted · Report post

A square may be dissected into any number n of acute triangles, provided that n is 8 or greater.

Show such a dissection for n=8.

0

Share this post


Link to post
Share on other sites

4 answers to this question

  • 0

Posted · Report post

Is it even possible?

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

post-13141-0-39875200-1371052320_thumb.p
Pretty sure they are all acute...the side ones are the only "iffy" ones...but I think with some tweaking they could be if they aren't already (sorry for my poor PAINT skills)...
0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

It use to be one of my favorites. I found it in Mathematical Snapshots,

a great book (devoted to recreational math) by Hugo Steinhaus.

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

I've seen it also with allowable regions (if symmetry is present) for the endpoints of the short horizontal line.

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now

  • Recently Browsing   0 members

    No registered users viewing this page.