A geodesic domeis a spherical or partial-spherical shell structure or lattice shell based on a network of great circles(geodesics) on the surface of a sphere. The geodesics intersect to form triangular elements that have local triangular rigidity and also distribute the stress across the structure. When completed to form a complete sphere, it is a geodesic sphere. A dome is enclosed, unlike open geodesic structures such as playground climbers.
Typically a geodesic dome design begins with an icosahedron inscribed in a hypothetical sphere, tiling each triangular face with smaller triangles, then projecting the vertices of each tile to the sphere. The endpoints of the links of the completed sphere are the projected endpoints on the sphere's surface. If this is done exactly, sub-triangle edge lengths take on many different values, requiring links of many sizes. To minimize this, simplifications are made. The result is a compromise of triangles with their vertices lying approximately on the sphere. The edges of the triangles form approximate geodesic paths over the surface of the dome.
Geodesic designs can be used to form any curved, enclosed space. Standard designs tend to be used because unusual configurations may require complex, expensive custom design of each strut, vertex and panel.
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The 'big ball' at Epcot in Orlando Florida, is a Geodesic sphere. The old dome-like playground equipment is based on the same structure as a geodesic dome. I've posted a couple of links about geodesic domes with some pictures.
No, the strongest shape under gravity condition is the catenary dome. The strongest shape under pressure ( earth sheltered or water ) would be a sphere. Or an hemisphere. Which is still a way stronger than a geodesic. The geodesic has potential link for failure in each connections. It's might be easier to set up than a perfect hemisphere, but seriously, did you already see a geodesic dome in nature ? You might want to check ferrocement / monolithic domes if strength it the first issue.
The geodesic dome was invented in the late 1940's
The geometric shape that starts with the letter "G" is a "geodesic dome." A geodesic dome is a spherical structure composed of a network of geometric shapes called geodesic polyhedra. These polyhedra are typically triangles or other polygons that are arranged to form a dome-like structure. Geodesic domes are known for their strength and efficiency in distributing stress across the structure.
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