Three congruent regular hexagons can be drawn in such a way that all of them overlap each other and create exactly ten distinct areas or compartments.
TRUE OR FALSE?
2006-09-05 10:15:10 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Aha, first to post the correct answer! :-)
The answer is TRUE. I spent some time playing around with a drawing program, and managed to come up with an arrangement that produces exactly 10 distinct areas.
Check out the picture I have drawn. There are 3 blue spaces, 3 red spaces, 3 green spaces and 1 yellow space - a total of 10 spaces.
http://img504.imageshack.us/img504/2488/hex10ed2.jpg
2006-09-05 10:58:13 · answer #1 · answered by Iowan4321 2 · 0⤊ 0⤋
Not sure if its a trick question. Basically there are five sides and by rotating the other 2 hexagons you can create two separate compartments per side plus the middlespace. This would be 11 compartments and Im not sure if you can elimante 1 of them.
2006-09-05 10:19:42 · answer #2 · answered by rweasel6 2 · 0⤊ 0⤋
Well I drew this up on auto cad and no matter how I move the hexigons I cant figure out how to get exactly 10 distinct areas so I say the answer is FALSE.
2006-09-05 10:22:34 · answer #3 · answered by bretttwarwick 3 · 0⤊ 0⤋
i think it is true
2006-09-05 10:21:22 · answer #4 · answered by icycrissy27blue 5 · 0⤊ 0⤋