# Geodesic Sphere Research Paper

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TRIANGULATION AND VECTOR A sphere has the smallest surface area for a volume. In a sense, it can contain the greatest volume for a fixed surface area . Hence, it makes sense that building a dome, which shape approaches that of a sphere can reduce the construction cost considerably. The types of geodesic dome is also classified according to the number of the plane faces and the number of triangulation applied to the original triangle. Triangulation is a way to build a geodesic dome. It is the division of a surface or plane polygon into a set of triangles, usually with the restriction that each triangle side is entirely shared by two adjacent triangles. the triangles are then normalized, so that the vector length is 1. Below is the procedure…show more content…
This is because that the calculated length of struts is at its optimum length which leaves no opening for the holes where the struts should be attached together. So holes should be drilled one inch further at each end. Hence, there are 4 wasted inches. This happens because 4 holes would have to be drilled during the cutting of the struts. Thus, the original struts has the actual length of 9 feet 8 inches and they have to be divided to |AM|=|MN| ratio. Finally, the pieces will have 4.536 and 5.130 feet length. There’s another factor that I have to consider, which is the number of struts needed to construct one geodesic dome. One thing to consider is after those processes I will have to cut the dome into half for the dome to be called ‘dome’. Because if we have even number of n, hence a 2V dome would have number of struts of 5n that is on the ground. So the formula used to calculate number of struts is 30n2/2+5n/2, n = number of subdivision of each side This is obtained from where the formula to calculate inner struts is 3(n2 - n)/2 and hence, the edge struts number is