Hi Rybo ... I have said I was talking about projective space. http://www.math.toronto.edu/mathnet/questionCorner/projective.html Adrian. -- Adrian Rossiter ...
Hi John ... I want the polyhedron to exist and have the expected dual properties (e.g. 12 vertices and octahedral symmetry) so I chose a space it can exist in....
... Sorry Adrian, I must have missed those comments. They were not in the email I was responding to. Also I skimmed through the article you linked to and...
Hi Rybo ... Start of section 2. Euclidean Geometry Plus A "Line At Infinity" "Take each line of ordinary Euclidean geometry and add to it one extra object...
... Thanks, I reread more that article including the above. Im sorry but it doesnt make much sense to me, however, I do see they use a sphere at bottom of...
Hi Rybo ... What they are saying is that this is another (different) model of projective space. And in this model the lines which come from great circles...
John Mac Cosham <dharmraj@...> wrote: you are in Australia- i am not sure- if so Australia is large continent- only 16 or 20 million people i think you...
coordinat the supplies of Honda- coordiante this with that coordinate the movment of the body if you dont know the elements you will not know what to...
... I've mentioned it before but Experiments in Topology by Stephen Barr is fun and cheap (although not currently as cheap from Amazon as it has been) ...
... I here what you and they are saying but it doe not make any logic sense. No common sense either that I can see. I will try and find a graphic of sphere...
... oughtta ... Yes, 10 square meters,especially with let's say a 5/8 dome would be a good little structure. I can't think of a good design at the moment....
Yes, square and rectangular things (sheds) are easier to build. A question comes to mind though (you might not have this answer; I don't): What do the...
http://www.tekcad.com/documents/TekNotes/SphereAnalytics/ SphereAnalytics.html Adrian, here is graphic of what appears to be accurate info regarding parrallel...
Hi Rybo ... You have missed the relationship between the two models of the projective plane. Anyway, if you would like a picture, the "Equatorial Gnomic" map...
John Brawley ... I think it is just floor space. Most people only buy/build rectangular to square sheds and most of them don't have much for eves. So a 3/4...
most of the advances in geodesic domes are in america- europe doesnt have the invited space for it- developing countries might be the place were they will...
most of the advances in geodesic domes are in america- europe doesnt have the invited space for it- developing countries might be the place were they will...
David, Thanks for your reply! I have some questions and comments: 1- Is your pod edge length the length of the pod edge as a straight segment, and not the...
Well, not _neccessarily_...: You're welding up steel roof trusses, triangulated. Those are awfully strong. In theory, if your walls were also welded to the...
Hi Jim ... I suspect calculus is the way to go. I'm very rusty but I had a look and made the answer integral[ sqrt(1 - (2-x)^2/(4*(6-x)*(2+x)) ] between 0 and...
... Adrian, sorry for "commons sense" comments. I was having bad tooth day. Yes, I'm definitly missing something within the article you supplied cause they...
Adrian, Thanks for your efforts here. Yes, I agree with you that your results appear to be on the long side. I made a CAD drawing that forms the pod with...
Alan, ... It's interesting that the pod has two different arc behaviors. Adrian is suggesting that calculus may be the way to go. This seems to be an open...
Hi Rybo ... The parallel lines *are* the projected paths of great circles. Quote from the second paragraph of the article "The Gnomonic projection is very...
Hi Jim ... [Adrian wrote:] ... I have reviewed my calculation and spotted an error. The 4 in the integral above should have been a 3 The revised calculation is...
Adrian, My check-in on synergeo has been pretty good these last few days, but I did miss this one. Your chord length of : 3.9331744 looks quite good! I am...
David, See below... REF: Pod chord: http://www.blackcatphotoproducts.com/L11124.jpg ... I should have called the line in the pod C and D since it is not the ...
