Also, note that the image is to-scale, so the angles should be correct if printed and protracted
~Adam On Wed, Jan 4, 2012 at 2:54 PM, Adam Risi <[email protected]> wrote: > I am not sure about Ray's math - I just did the numbers myself, and here > is what I got: > > 1) The diameter of an octagon is D = Sqrt[2 (2 + Sqrt[2])] a, where a is > the length of a single side. > > a = 8' > D = Sqrt[2 (2 + Sqrt[2])] a = Sqrt[2 (2 + Sqrt[2])] 8 = 20.905' > R = radius = 1/2 D = 10.453 > > 2) The angle of the roof can be modeled like so: > > http://i.imgur.com/FdqIF.png > > This assumes a 12' long roof panel. > > The general formula for calculating the angle P is ArcCos[10.45/L], where > L is the length of a roof panel. Given the angle, the length of a roof > panel is calculated as 10.45/Cos[P Degree]. > > I don't know the angle of the roof for a default hexayurt off-hand, but > this should get you where you need to be. All of the formulas in this > message can be copied to Wolfram Alpha for use/verification. > > Also, hello hexayurters (first message on board). > > ~Adam > > On Wed, Jan 4, 2012 at 1:55 PM, ken winston caine < > [email protected]> wrote: > >> Joshua, if I extend the length of the roof diagonals enough, I actually >> increase the roof pitch -- even though I've gone all octo. But there is a >> point of diminishing returns because of the flex in the foam board. (The >> longer the reach, the less rigid it is.) >> >> I'm trying to figure out what the shortest length is that will give me a >> greater pitch than the traditional hexayurt has. >> >> Anyone have numbers? >> >> (Sure wish I'd paid more attention in Geometry. Or had understood how and >> when I would NEED to know this stuff in the real world. That would have >> gotten me to pay more attention to it then.) >> >> -- kwc >> >> >> On Wed, Jan 4, 2012 at 2:41 PM, Joshua Keroes <[email protected]> wrote: >> >>> The more sides you add, the flatter the roof becomes. If you're worried >>> about snow load, I think you'd want the steeper roof of a pentayurt or >>> quadyurt than the rather flat roof of an octoyurt. >>> >>> >>> On Wed, Jan 4, 2012 at 1:34 PM, kenwinston caine < >>> [email protected]> wrote: >>> >>>> Thanks, Jason. Not suggesting that you're wrong. Just want to >>>> understand why the standard 6 - side version would be both simpler and >>>> stronger? >>>> Stronger simply because it's smaller and would thus have more >>>> rigidity? Or something else? Something in the math? >>>> >>>> I'm wanting to do the octagon to retain the essential structural >>>> integrity of the hexayurt design and the hogan-like appearance--which >>>> I like, and to gain significant floor area. The octagon gives 309 >>>> square feet of floor space vs. the 166 for the hexagon. And, if I've >>>> successfully increased the roof pitch enough, it also provides room >>>> for a sizeable, comfortably usable loft. >>>> Thanks,ken >>>> >>>> >>>> On Wed, Jan 4, 2012 at 1:30 AM, jason chinn <[email protected]> >>>> wrote:How come you don't do the standard 6 side version? Doing so >>>> makes the design / math / production a lot more simple, and stronger. >>>> I have only made one hexayurt, it was made with 8' tall vertical sides >>>> that I then chopped down to 6' tall on the outside. >>>> I suggest making a smaller model to work things out. Good Luck, jason >>>> >>>> -- >>>> You received this message because you are subscribed to the Google >>>> Groups "hexayurt" group. >>>> To post to this group, send email to [email protected]. >>>> To unsubscribe from this group, send email to >>>> [email protected]. >>>> For more options, visit this group at >>>> http://groups.google.com/group/hexayurt?hl=en. >>>> >>>> >>> -- >>> You received this message because you are subscribed to the Google >>> Groups "hexayurt" group. >>> To post to this group, send email to [email protected]. >>> To unsubscribe from this group, send email to >>> [email protected]. >>> For more options, visit this group at >>> http://groups.google.com/group/hexayurt?hl=en. >>> >> >> -- >> You received this message because you are subscribed to the Google Groups >> "hexayurt" group. >> To post to this group, send email to [email protected]. >> To unsubscribe from this group, send email to >> [email protected]. >> For more options, visit this group at >> http://groups.google.com/group/hexayurt?hl=en. >> > -- You received this message because you are subscribed to the Google Groups "hexayurt" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/hexayurt?hl=en.
