Golden Diamond Space Enclosing System
Using the Geometry of the Rhombic Triacontahedron
The Rhombic Triacontahedron provides both the diamond shapes (rhombs) and 3-dimensional geometry. used to define this space enclosing system. One distinct advantage of this system is all faces are identical. Thus it would simplify manufacturing and reduce material costs.
Since this approach is filled with the Golden proportion (see below) it may also be fundamentally pleasing to the eye.
Here are three basic methods for adding tiers to create domes with the Golden Diamond system. All three approaches share the same plan view (upper left). On the upper right is the ‘Star‘ method. In the lower left is the ‘Simple‘ method, while the ‘Full‘ Method in in the lower right.
This slightly more complex Golden Diamond dome uses the ‘Simple’ and the ‘Full’ methods. The bottom two tiers also include the ‘Full+’ method, which contains additional downward facing rhombs. This is simply one example of how different methods may be combined to provide more flexibility and variety than offered by each individual method.
Also, there are additional methods. Consider the edge length as unity (1). For example visualize the ‘Star’ translated down a unit rather than up. Another would be outer lower belt of rhombs in the ‘Full’ method translated up a unit from the current position. There more methods that are still regular and symmetrical in the plan view.