The typical hexayurt is 166 sq ft.
Bill
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166 is based on the known dimensions and angle of the roof. The roof consists of half sections of 4x8 foot panels set at a 30 degree angle from horizontal. So, the 8ft long roof triangles trace a distance of 8 times cos(30) along the ground, or 6.93 ft. Each wall is 8 ft wide, so the area of the triangle made by a wall’s intersection with the ground and the center point of the hexayurt is 8 times 6.93 divided by 2 (base times height divided by 2). Multiple by 6 to get the total area of the hexayurt.
Bill
How can that be?Please work out the math for us in a message so we can see it.If you just had an 8-footx8-foot floor area you would have 64 square feet. And with the hexagon made up of SIX (not five) 8-foot walls, you have substantially more than an 8-footx8-foot floor area.Am sure I must have missed an earlier message in this thread, but the square-footage number leaped out at me in this message. For year's I've accepted Vinay's calculation that the traditional hexayurt provides 166 square feet of floor area. I'm pretty sure he's calculated that correctly. But I'm not a math whiz and need to see how you are working out these numbers, if you don't mind.Thanks,ken----- Original Message -----From: Ray KorneleSent: Friday, June 17, 2011 11:41 AMSubject: Re: [hexayurt] Legal Status for Hexayurt Constructions ? - Construction Permit Required ?
If you do the math you may find that is not the case.
It actually figures out to 41.56928 square feet for the one made of 5 sheets of plywood. Where the 166 figure came from, but it's WAY off.
KrazyKyngeKorny (Krazy, not stupid)
On Fri, Jun 17, 2011 at 9:19 AM, Bill Wiltschko <bi...@wiltschko.org> wrote:
The typical hexayurt is 166 sq ft.
Bill
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Man I loved geometry problems back in middle school =)
-Ethan
We really, really need to sort out the naming scheme for various kinds of hexayurts to stop misunderstandings like this arising.
One more thing on the to-do list, maybe somebody will have a great idea and figure it out!
V>
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it is attached...
/dvr
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