2008-01-21

6 Matches, 4 Triangles

Use 6 identical matchsticks to create 4 equilateral triangles. The solution does not require you to break any matches.

12 comments:

richard said...

A square, with an X across the middle -- obviously the four sides have to overlap a little so the arms of the X aren't short.

I guess now I can't give you a hard time for your silence!

fiona-h said...

sorry R,
those aren't equilateral...

Mr. Kite said...

How about if you use four matches to create two Xs that look like this: XX. The two Xs should touch. Then use the other two matches across the bottom and top of the Xs. This would create four equalateral triangles where each side is 1/2 the length of a matchstick.

Mark Hanington said...

A Star of David would give you six, but not precisely four...

richard said...

Curses. That'll teach me to pay attention....

fiona-h said...

wow - I like both Mr. Kite's and Mark's answers.

Although neither is what I had in mind... there's another solution out there!

Pete said...

I got it.
Think 3d everyone!

Mark Hanington said...

Very good!

Mark Hanington said...

I have another solution. 2D. Place 3 matches to form an equilateral triangle. Use the 4th match parallel to the base, bisecting the two sides. Use the 5th and 6th matches to connect the points of intersection of match 3 and the sides, to the bisector of the base. There will be bits of matches 5, 6 and 7 protruding, but inside the original equilateral triangle will be 4 congruent equilateral triangles.

Zootenany Hoodlum said...

what if you light the matches, smoke something, and see four 3d triangles?

fiona-h said...

Mark - I want a picture! My brain hurts (gumby voice)

Google said...

I got it!3 sided pyramid!