Gcdome Introduction

Gcdome is a program for calculating a geodesic dome based on the great circle formula.

Purpose of the Gcdome package:

Gcdome Program Functions

Gcdome Features and Scope

gcdome limits its scope to the icosacap triangle of an icosahedron whose vertices are at:

Vertex Longitude Degrees from North
North Pole 0 0
Lower Left 0 63.4349
Lower Right 72 63.4349

gcdome follows the horizontal path of a great circle. This means that in the northern hemisphere, the horizontal struts arc in the center. The apex of their arc lies at 36 degrees east.

The group of chords that gcdome produces may be duplicated for any equilateral triangle in the icosahedron. Each equilateral triangle in the icosahedron has the same dimensions.

In gcdome, the distance between each vertex along a meridian is an equal number of degrees north and south.

The horizontal distance between each vertex along a great circle arc is an equal number of degrees east and west.

In this respect, gcdome produces a dome that is symetrical east to west. Chords on the east side of a row of triangles have the same length as corresponding chords on the west side of the same row.

The transition between two icosacap triangles is slightly angular, although the distance from the center of the sphere is uniform. This creates a weakness in the northeast and northwest direction, where the two triangles join. This weakness is corrected in the Class 1 method of calculation.


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