Jump to content
BrainDen.com - Brain Teasers
  • 0
bonanova

more difficult dissection: the square

Question

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.

Share this post


Link to post
Share on other sites

4 answers to this question

  • 0
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)...

Share this post


Link to post
Share on other sites
  • 0

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

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

Share this post


Link to post
Share on other sites
  • 0

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

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.

×