Tetrahedron As Outside Container
Tetra Edge = 6BB = 12 cm
Icosahedron Inside Tetrahedron
The edge of the icosahedron that fits exactly inside a 6BB tetrahedron is 3.24108...cm. I used the lines of communication between the icosa's 4 'triangles-in-common' with the tetra and the outside corners of the tetra as the design for the naturalmodular logo. The icosa's triangles are found by the now familiar GR/GR division of the 3BB triangle's edges.
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The dotted lines means to score (cut partially through) these lines on the opposite side to accommodate their concave position on the module.
Here is another beautiful example of the interconnectedness between the Sphere and Bubble families.
Dodecahedron Inside Tetrahedron
In the asymmetrical green triangle you can drop a perpendicular to form the green 90 degree triangle with its constant sides. From this information you can mass produce the shape.
We found the size of the dodeca inside the tetra by the size of the cube. The cube's edge is equal to the long axis of the pentagon. The interconnectedness (synergy) of naturalmodular building technique's structural/numerical constants provide a framework to find unknown information. The yellow triangle is 1/3 of the 6BB triangle.
Cube Inside Tetrahedron
The yellow and green pieces are the same size as in the dodeca except the square is used instead of the pentagon.
Octahedron Inside Tetrahedron
Once again, the dotted lines means you score them to act as a hinge. The tetra/octa combination is one of the most fundamental synergy found in Nature.