# Geodesic Dome Project

__Geodesic Domes__

For my math project I decided, after much thought and research, to build a geodesic dome. This is a dome constructed solely from different triangles, causing it to be extremely stable. My original idea when I came across geodesic domes was to build one out of toothpicks or small sticks in order to demonstrate the strength of the shape but after doing some research I realized that it would be much more reasonable to build it out of triangle cut from paper. This is the idea I stuck with because it still demonstrates strength but also does a much better job of using geometry.

The dome I built is known as an Icosa Alternate and is made up of icosahedrons which is one of the five solids discovered by ancient greeks. It is constructed by using a combination of equilateral and isosceles triangles that fit together inside the icosahedron. The side lengths of the equilateral triangle, which are all A sides, are figured by using the chord factor of A, which is .61803, and multiplying it by the radius of the dome you plan to build. The two B side lengths of the isosceles triangle are found in the same way except the chord factor of B which is .54653 is used instead.

This dome made up of icosahedrons split up into triangles is actually used world wide. It is the design used for many greenhouses or art structures placed around gardens. Not only that, but after the dome was discovered by Walther Bauersfeld after World War One, the army took it on as the structure for most of its buildings due to its structural stability. The smaller dome that I have constructed is meerly an ant sized model of some of the domes out there but it is still able to display the genius that is found in geometry.

# Tests

- I am very proud of the fact that I have aced all of my tests in algebra and am passing the class very easily. I am currently very close to the top of my class which includes half sophomores.