Or, forget the roof: the walls form a hexagon 8' on a side. A hexagon is six
equilateral triangles, each 8' on a side. The height of an equilateral triangle
is sqrt(8*8-4*4) = 6.92, so its area is 6.92*8/2 = 27.7. Six such triangles
will thus be 166.28 square feet. Good job, Vinay!
Just looking at it another way...
Cheers,
Steve Upstill
--
Injustice is relatively easy to bear; what stings is justice.
-- H. L. Mencken
On Jun 17, 2011, at 12:32 PM, Bill Wiltschko wrote:
> 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
>
> From: [email protected] [mailto:[email protected]] On Behalf
> Of ken winston caine
> Sent: Friday, June 17, 2011 11:02 AM
> To: [email protected]
> Subject: Re: [hexayurt] Legal Status for Hexayurt Constructions ? -
> Construction Permit Required ?
>
> 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 Kornele
> To: [email protected]
> Sent: Friday, June 17, 2011 11:41 AM
> Subject: 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 mane 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 <[email protected]> wrote:
> The typical hexayurt is 166 sq ft.
>
> Bill
>
>
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