Dodecahedron As Outside Container
The edge of the dodeca is the same as in the nesting series, 5.244196...cm.
Icosahedron Inside Dodecahedron
There are 2 types of modular units here, the single and the double. In the model where the VE and icosa share the same axis of spin length you can see the 8-12 grouping of the 20 triangles of the icosa. There are 8 connected with the triangles of the VE and the other 12 blue directions come in pairs that connect to the square faces of the VE. If you want to mix and match modular building patterns you will find this mapping of the icosa helpful.
Cube Inside Dodecahedron
In the nesting structures section we talked about the special relationship the cube and dodeca have. The simple symmetry of their modular units demonstrates this.
Tetrahedron Inside Dodecahedron
The pentagon is divided in a unique way, from one corner to the midpoint. Whatever the edge of the dodeca is multiply by GR to calculate this other length.
Octahedron Inside Dodecahedron
The edge of the octahedron inside the dodecahedron is the same size as our original icosa that is the outside container for our nesting series. The numerical constant that exists between the icosa and dodeca is 3GR which also defines the altitude of the blue triangle. Whole systems thinking is always looking for the interconnectedness of building patterns.
