bonanova Posted June 12, 2013 Report Share Posted June 12, 2013 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. Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted June 12, 2013 Report Share Posted June 12, 2013 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)... Quote Link to comment Share on other sites More sharing options...
0 Barcallica Posted June 12, 2013 Report Share Posted June 12, 2013 Is it even possible? Quote Link to comment Share on other sites More sharing options...
0 witzar Posted June 13, 2013 Report Share Posted June 13, 2013 It use to be one of my favorites. I found it in Mathematical Snapshots, a great book (devoted to recreational math) by Hugo Steinhaus. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted June 14, 2013 Author Report Share Posted June 14, 2013 I've seen it also with allowable regions (if symmetry is present) for the endpoints of the short horizontal line. Quote Link to comment Share on other sites More sharing options...
Question
bonanova
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.
Link to comment
Share on other sites
4 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.