I'm wanting to toss up a quick experimental building to test its
ability to withstand winter snowload and winter-spring winds.

This is BASED ON the Hexayurt but is not a hex, rather an octo. And
that's where I need help.

I will be using 4'x8'x2" foam panels. Walls will be eight feet tall
and eight feet wide. Eight of them connected in an octagon.

Roof panels will be cut diagonally from 8  foam panels of 4'x12'x2".
(Specially fabricated.)  (Or, alternately  of 4'x16'x2" panels. See
final question below.)

My questions:

1. What angles will I need to cut at the corners of each wall so they
butt together perfectly?
2. What angles will I need to cut along the lengths of the roof
diagonals so they fit together properly?
3. What angle will I need to cut along the width of the roof panels
where they butt together with the tops of the walls so they fit flush?

Since this is a tension structure, I need to get those angles right.
Can someone who really understands this math tell me what those angles
should be?

Final question:  Will 12-foot-long roof panels give me a greater than
30-degree angle roof pitch when I have a 64-feet-diameter structure?
If not, what would  the pitch be if I use16-foot-long panels? And, if
I do that, what angles would I need to cut on their outside edges so
they all fit flush together properly and fit flush against the tops of
the walls?

Very grateful for the help.

Hoping to put this up within two weeks if we continue to have 50-
degree days. Need the math calculations ASAP so can pick up the right
quantity of materials and begin cutting.

Best,
kwc

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