• Chris says:

    Since it’s an equilateral hexagon, you know the inside angles are 120&deg each. Knowing that, we can find the interior angles of the right triangles (180&deg - 120&deg = 60&deg and 180&deg - (90&deg + 60&deg) = 30&deg).

    tangent(q) = b / a

    so

    tan(30&deg) = 0.57

    right?

    This comment was posted on 22 February 2005 at 20:18

  • Chris says:

    oh, ratio is 1:0.57

    This comment was posted on 22 February 2005 at 20:24

  • Logan says:

    It’s not a regular hexagon. It’s very slightly off-regular. A regular hexagon is longer point-to-opposite-point than edge-to-opposite-edge.

    This comment was posted on 22 February 2005 at 21:00

  • nomad says:

    In other words: the edges don’t touch the square? what touches the square exactly?

    This comment was posted on 22 February 2005 at 22:01

  • Logan says:

    The two side edges and the top and bottom points do touch the square. Thus, the hexagon does not have all equal angles, but does have all equal edges. It’s essentially a regular hexagon that has been squeezed top-to-bottom slightly.

    This comment was posted on 23 February 2005 at 08:35

  • Chris says:

    What is this problem based on? Is there a real-life application?

    This comment was posted on 23 February 2005 at 09:50

  • Logan says:

    No. My brain pooped it out yesterday while I was in a meeting.

    This comment was posted on 23 February 2005 at 10:46

  • Brian says:

    This is a strange problem. It took me a while to get the answer for some reason, but I ended up getting a solution. I’m not sure if I should post it here or not. I’m not even sure if it’s right. Anyway, good question Logan, I had fun.

    This comment was posted on 23 February 2005 at 18:22

  • bobba says:

    this web site sucks

    This comment was posted on 5 October 2005 at 11:39