Hexagons and Octagons oh my!
- 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).
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!
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.