I think we only want to consider the roof when looking at standing room. I looked at "average human height" in wikipedia, and the not-entirely-unreasonable figures give us 5-6 feet depending on, well, I suppose a mix of ancestors and food etc. (And age and male-femaleity, of course.) The walls start at 4 feet and the highest point is 8 feet, so standing room is not the full hexagon floor, but a smaller hexagon at the height of the (adult) heads.
I looked at this visually for the H13 http://www.appropedia.org/Hexayurt_H13and even for the H14 (never built yet, AFAIK), and standing room is substantially larger, like 66% more, cos you start with 6 small triangles and H13 adds 4 more such triangles (if you look at that page), for a single extra panel (even more for the H14). I haven't been able to figure out how to make an H13 out of plywood, tho'. you know, with 120º and 150º blocks and all that. Just a minor challenge here, I'm sure. <grin> http://www.appropedia.org/Hexayurt_Plywood (much of the documentation is at the Discussion subpage, cos I don't feel confident enough that I understand how it works yet). Lucas 2011/6/18 Steve Upstill <[email protected]> > 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 <[email protected]>**** > *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**** > ** ** > ** ** > -- > 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. > -- You received this message because you are subscribed to the Google Groups "hexayurt" group. 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