Find the following line...

[stardust]

1
11
21
1211
111221
312211
13112221
1113213211
What is the next line? ?

 

[Pierre]

31131211131221 ?

The solution is explained on the Web
http:(doubleslash)au.answers.yahoo.com/question/index.php?qid=20061225152530AAT17EA

This suite also is funny :
OTTFFSS...
(but the answer is on the Web too)

 

[stardust]

hmmmmm ......You've cheated? It's not funny!

OK .....how can you do 7 equilateral triangles with 6 matches?

 

[Jacques]

Still on the web:

"http://www.maa.org/editorial/mathgames/mathgames_02_08_06.html"

"http://www.jimloy.com/puzz/cole.htm"

 

[stardust]

...I hope you got not a "web" instead of brain...

The next enigma will be more serious ! Rendez-vous to "History" index in few days with "Glozel affair"...

 

[ScioAgapeOmnis]

hmmmmm ......You've cheated? It's not funny!

OK .....how can you do 7 equilateral triangles with 6 matches?

I think I got it (no cheating). Drew it in paint so lines are not exactly equal length but close enough I think:



Bah just noticed the post with the answer after all this work! Ok but mine are equilateral, although they do overlap (though u never said non-overlapping and you DID say equilateral so I think my answer is better than the one that was linked to).

Edit: Nevermind, mine are not equilateral, they are "right" triangles lol..


Just came up with another solution with no overlapping triangles (they're not equilateral or right-angled but whatever :D)

 

[Jacques]

...I hope you got not a "web" instead of brain...

It is the other way around. It is because we have a brain that we think to use the web. ;)

 

[stardust]

Bah just noticed the post with the answer after all this work!

Bravo for your effort but there's a trick :

Make a pyramid with all matches and put it on a mirror! You will have 2 pyramids with a common base and this makes 7 equilateral triangles...

It is the other way around. It is because we have a brain that we think to use the web.

You're too schrewd for me...I surrender!!!!!