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Hexagons and Octagons oh my!

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  • Avery Austringer
    For Hexagons: s = the lengths of one of the six sides A = the distance point to point a = the distance side to side w = the offset between the corners All
    Message 1 of 1 , Aug 5 9:45 AM
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      For Hexagons:

      s = the lengths of one of the six sides
      A = the distance point to point
      a = the distance side to side
      w = the offset between the corners
      All angles are 60� (Or 120� depending which side
      you're standing on).

      A=2s
      a=1.73s (sqrt3*s)
      w=s/2

      So, if you have a piece of 2 inch square stock you
      want to hexagonify, first, cut about a quarter inch
      off of one face. Then, with the two inch face on the
      saw table, the blade set at 30� and the fence set at
      just under and inch and three quarters rip off a
      corner. Turn the board around and do it again. Turn
      the board over and do it again. Turn it aroudn again
      and do it again. Ta da. Hexagonal stock - 2 inches
      point to point with 1 inch faces.

      One warning. if your finger board is not as high as
      the projecting corner of the hexagon ('bouth 3/4ths of
      an inch) your piece will tend to ride up on the finger
      board. Make a taller finger board out of a 2x4!

      For Octagons:
      Octagons are easier since you start with square stock
      and end with square stock sans corners.

      Divide your stock width by 3.1414 (2+sqrt2 - not Pi!).
      So, for 2 inch stock you get 0.586. Subtract that
      number from your stock width (2 inches - so 1.41
      inches). Set your blade to 45� and your fence at 1.41
      inches. Rip each corner. What I said about that
      finger board. Hell, engineering some hold downs might
      be a good idea too!

      This can all be figured out with the info that the
      sides of a 45/45/90 triangle are 1, 1, sqrt2 and 1,
      sqrt3, 2 for a 30/60/90 degree triangle. Why they
      always had us figuring out the height of stuff in
      highschool rather than something useful (like this)
      I'll never know.

      If you need heptagonal stock you are a weirdo.

      Avery
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