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Beautiful Geometry

Paul Bourke shows beautiful geometry.  We use many of these constructs in designing Geometrica structures. 

Geometric PatternsFor example, "splitting facets" (scroll to middle of document) is the way we reinforce a layer of space frame.

The writeups also include Distributing points on a sphere, testing for whether a line segment intersects a facet, and many other inspirations:

Intersection of 6 Cylinders Triangular Dforms Water Drop Pattern
Intersection of 6 cylinders Triangular dForm Water drop