Hard to beat the "Bucky* sphere" section, which can scale to any size, cover an entire city which excludes air pollution sources, etc. if desired. Least material used for covered area with no internal posts, etc. Very efficient if set on ~7 foot high section of thin concrete wall cylinder (that has steel hoop for the outward stress) as the humans can stand anywhere inside the enclosed space. Sheds rain, snow or wind well. This one covers 5.1 acres and gets a lot of snow as is "Superior Dome Stadium" of Northern Michigan Univ. at Marquette, Michigan, USA, 160 m (525 ft) diameter. (I´m not sure if that is the bucky ball diameter or be the base on earth diameter. But as it overs the 5.1 acres, you could determine which, if not as lazy as I am.) I think the more conventional pointed roof at top dead center prevents snow and ice build up where dome´s surface is horizontal, and helps make window controlled draft for natural, no energy use, ventilation. Note the fresh air entry vents, just above the tree tops, have sharp tops too. that is tiny par of Lake Michigan in photo foreground. I bet in dead of winter you can drive your car on the ice along the shore line.
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*Invented by Mathematician & Architect Buckminster Fuller - See wiki for more.
That is same image I gave at end of my post 6, but it has no Xs. It has open sided triangles or Ys. Look again. Sometimes the open Ys are closed (to have the 3 sides of an triangle) to inscribe an equilateral triangle. In some cases, but not as described by Buckminster Fuller, that same "ball" structure is ONLY the hexagons. The adjoining hexagon ball (with some squares?) is the official form of a football (soccer ball to Americans) now.... this image from above http://www.nanotech-now.com/images/buckyball2-sm.gif has the X shape in it.
That is same image I gave at end of my post 6, but it has no Xs. It has open sided triangles or Ys. Look again. Sometimes the open Ys are closed (to have the 3 sides of an triangle) to inscribe an equilateral triangle. In some cases, but not as described by Buckminster Fuller, that same "ball" structure is ONLY the hexagons. The adjoining hexagon ball (with some squares?) is the official form of a football (soccer ball to Americans) now.
Thanks. I knew that the ball could not be all hexagons as they fill a plane.* So I added "(with some squares?)" but as your photo shows, pentagons are what is needed to curve it into a ball.You know what they say about a picture. ...[/IMG]
So I saw the picture wrong. I still say the X is the perfect architectural shape.
No an X is not even one triangle. Triangles have 3 sides, two triangle would need 6 side an X has either 2 or 4 if both equal length parts of the straight sections are counted separately. Another property of all triangles that the X does not have is a triangle divides the plane into two distinct regions -the inside and the outside.An X is two triangles, so maybe twice as good. I like the arch, but think the triangle beats it for efficiency.