Thread: The segmantation of a square

The task is to proove that it´s not possible to fragment a square into hexagons. Each interior angle of the hexagons must be less than 180,but the hexagons needn´t be regular or have to be equal to each other. I tried to disprove the relation of the angles, but it didn´t work out. You needn´t give any details about the solution, but I´m almost desperate about the time investation, so I would be grateful if you could give some small hints.

Is it too difficult for you? Or does none of you have interest in this question?

Have I posted it into the wrong subforum?

Originally Posted by halabama

The task is to proove that it´s not possible to fragment a square into hexagons. Each interior angle of the hexagons must be less than 180,but the hexagons needn´t be regular or have to be equal to each other. I tried to disprove the relation of the angles, but it didn´t work out. You needn´t give any details about the solution, but I´m almost desperate about the time investation, so I would be grateful if you could give some small hints.

There has already been a good deal of discussion at http://www.mymathforum.com/viewtopic.php?f=13&t=22126
So any who are looking to contribute might want to check there first.