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  Cube As Outside Container
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  Cube Edge = √2(3BB) =
  Icosahedron Inside Cube
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This modular piece is a physical representation of the GR numerical constant between an icosa and a cube. The green pieces are 'scored' down their middle to allow it to hinge.

  Dodecahedron Inside Cube
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The dodecahedron has a constant numerical relationship with the cube as its outside container. The icosahedron divides one midpoint line of the cube by GR and the dodeca divides the other midpoint line of the cube by GR  .

  Tetrahedron Inside Cube
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When you establish the lines of communication between a corner and the midpoint of a 60˚triangle two self-innovations happen; you locate the center of the shape and divide the altitude into 1/3-2/3 segments.

For the green piece, divide the two side edges of a sphere triangle (1/2 sphere diamond) into 1/3 segments. Slice off the small 1/3 part and the 2/3 part left is pictured above.

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  Octahedron Inside Cube
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