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geodesic domes


gort ben

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I would suggest starting with the creation of an icosahedron (frequency 1), the basis for all geodesic domes. No matter the frequency ( > 1) you will need need to create two types of connectors, one for where 5 tubes come together and one where 6 tubes come together. The number of different tube lengths you will need is equal to the frequency of the geodesic dome. Once you have a 3D wireframe model of the icosahedron (or more coplex geodesic dome) you can use that to define the connectors and tubes.

 

Here are some dimensions to get you started on an icosohedron. You can get these values from a variety of web sites or derive them yourself.

 

Assuming an edge length of 1.0000 (L)

 

Ra = L * sin(54)/sin(72) = 0.85065 this is the radius of the circle containing the base pentagon

 

Re = sqrt( Ra^2 + (Ra/2)^2) = 0.951057

 

Create a work plane parallel to the XZ plane offset by Ra / 2 and another work plane offset by minus this disctance.

 

Create construction circles on these two plane of radius Ra

 

Use these two circles to create pentagons. The pentagons should be 180° rotated with respect to each other.

 

Create work planes to define the top and bottom points of the icosahedron. These work planes are Re from the XZ plane.

 

Use the top and bottom points, and the vertices of the two pentagons to create the 30 edges of the icosahedron.

 

From here you can create work planes to define the 2D profile of a revolved shape to define the connector.

 

Once you have done this exercise you can go onto higher order frequencies by using the Re circle to define additional segments for each edge of the icosahedron.

 

Inventor-Icosahedron1.JPG

icosahedron2.ipt

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